-
3
-
-
79960601554
-
A brief history of generative models for power law and lognormal distributions
-
Mitzenmacher M 2004 A brief history of generative models for power law and lognormal distributions Internet Math. 1 226
-
(2004)
Internet Math.
, vol.1
, pp. 226
-
-
Mitzenmacher, M.1
-
4
-
-
24744469980
-
Power laws, Pareto distributions and Zipf's law
-
Newman ME J 2005 Power laws, Pareto distributions and Zipf's law Contemp. Phys. 46 323
-
(2005)
Contemp. Phys.
, vol.46
, Issue.5
, pp. 323
-
-
Newman Me, J.1
-
6
-
-
5844290410
-
Self-organized criticality: An explanation of 1/f noise
-
Bak P, Tang C and Wiesenfeld K 1987 Self-organized criticality: an explanation of 1/f noise Phys. Rev. Lett. 59 381
-
(1987)
Phys. Rev. Lett.
, vol.59
, Issue.4
, pp. 381
-
-
Bak, P.1
Tang, C.2
Wiesenfeld, K.3
-
10
-
-
9744251040
-
The Abelian sandpile and related models
-
Dhar D 1999 The Abelian sandpile and related models Physica A 263 4
-
(1999)
Physica
, vol.263
, Issue.1-4
, pp. 4
-
-
Dhar, D.1
-
11
-
-
33745657432
-
Theoretical studies of self-organized criticality
-
Dhar D 2006 Theoretical studies of self-organized criticality Physica A 369 29
-
(2006)
Physica
, vol.369
, Issue.1
, pp. 29
-
-
Dhar, D.1
-
12
-
-
0006381221
-
Self organized criticality
-
Turcotte D 1999 Self organized criticality Rep. Prog. Phys. 62 1377
-
(1999)
Rep. Prog. Phys.
, vol.62
, Issue.10
, pp. 1377
-
-
Turcotte, D.1
-
13
-
-
0041927734
-
Self-organized Criticality: What it is and it isn't
-
Frigg R 2003 Self-organized Criticality: what it is and it isn't Stud. Hist. Phil. Sci. 34 613
-
(2003)
Stud. Hist. Phil. Sci.
, vol.34
, Issue.3
, pp. 613
-
-
Frigg, R.1
-
14
-
-
0036013593
-
Statistical mechanics of complex networks
-
Albert R and Barabsi A-L 2002 Statistical mechanics of complex networks Rev. Mod. Phys. 74 47
-
(2002)
Rev. Mod. Phys.
, vol.74
, Issue.1
, pp. 47
-
-
Albert, R.1
Barabsi, A.-L.2
-
15
-
-
0008679518
-
Two-state model of self organized criticality
-
Manna SS 1991 Two-state model of self organized criticality J. Phys. A: Math. Gen. 24 L363
-
(1991)
J. Phys. A: Math. Gen.
, vol.24
, Issue.7
, pp. 363
-
-
Manna, S.S.1
-
16
-
-
6144271487
-
Tracer dispersion in a self-organized critical system
-
Christensen K, Corral A, Frette V, Feder J and Jossang T 1996 Tracer dispersion in a self-organized critical system Phys. Rev. Lett. 77 107
-
(1996)
Phys. Rev. Lett.
, vol.77
, Issue.1
, pp. 107
-
-
Christensen, K.1
Corral, A.2
Frette, V.3
Feder, J.4
Jossang, T.5
-
18
-
-
35949010691
-
Scaling theory of self-organized criticality
-
Zhang Y-C 1989 Scaling theory of self-organized criticality Phys. Rev. Lett. 63 470
-
(1989)
Phys. Rev. Lett.
, vol.63
, Issue.5
, pp. 470
-
-
Zhang, Y.-C.1
-
19
-
-
4243718820
-
Theoretical studies of self-organized criticality
-
Pietronero L, Tartaglia P and Zhang Y-C 1991 Theoretical studies of self-organized criticality Physica A 173 22
-
(1991)
Physica
, vol.173
, Issue.1-2
, pp. 22
-
-
Pietronero, L.1
Tartaglia, P.2
Zhang, Y.-C.3
-
20
-
-
4243164875
-
Punctuated equilibrium and criticality in a simple model of evolution
-
Bak P and Sneppen K 1993 Punctuated equilibrium and criticality in a simple model of evolution Phys. Rev. Lett. 71 4083
-
(1993)
Phys. Rev. Lett.
, vol.71
, Issue.24
, pp. 4083
-
-
Bak, P.1
Sneppen, K.2
-
21
-
-
0000757572
-
Self-organized pinning and interface growth in a random medium
-
Sneppen K 1992 Self-organized pinning and interface growth in a random medium Phys. Rev. Lett. 69 3539
-
(1992)
Phys. Rev. Lett.
, vol.69
, Issue.24
, pp. 3539
-
-
Sneppen, K.1
-
22
-
-
4243834424
-
Application of 'logical transport' to determine the directed and isotropic percolation thresholds
-
Hansen A and Roux S 1987 Application of 'logical transport' to determine the directed and isotropic percolation thresholds J. Phys. A: Math. Gen. 20 L873
-
(1987)
J. Phys. A: Math. Gen.
, vol.20
, Issue.13
, pp. 873
-
-
Hansen, A.1
Roux, S.2
-
23
-
-
0001011929
-
'Self-organized' formulation of standard percolation phenomena
-
Grassberger P and Zhang Y-C 1996 'Self-organized' formulation of standard percolation phenomena Physica A 224 169
-
(1996)
Physica
, vol.224
, Issue.1-2
, pp. 169
-
-
Grassberger, P.1
Zhang, Y.-C.2
-
24
-
-
0008657321
-
Theory of self-organized interface depinning
-
Olami Z, Procaccia I and Zeitak R 1994 Theory of self-organized interface depinning Phys. Rev. E 49 1232
-
(1994)
Phys. Rev.
, vol.49
, Issue.2
, pp. 1232
-
-
Olami, Z.1
Procaccia, I.2
Zeitak, R.3
-
25
-
-
0001076627
-
Exactly solved model of self-organized criticality
-
Maslov S and Zhang Y-C 1995 Exactly solved model of self-organized criticality Phys. Rev. Lett. 75 1550
-
(1995)
Phys. Rev. Lett.
, vol.75
, Issue.8
, pp. 1550
-
-
Maslov, S.1
Zhang, Y.-C.2
-
26
-
-
0002393163
-
Algorithmic mapping from criticality to self-organized criticality
-
Bagnoli F et al 1997 Algorithmic mapping from criticality to self-organized criticality Phys. Rev. E 55 3970
-
(1997)
Phys. Rev.
, vol.55
, Issue.4
, pp. 3970
-
-
Bagnoli, F.1
-
28
-
-
0000498940
-
Instabilities in a sandpile
-
Nagel SR 1992 Instabilities in a sandpile Rev. Mod. Phys. 64 321
-
(1992)
Rev. Mod. Phys.
, vol.64
, Issue.1
, pp. 321
-
-
Nagel, S.R.1
-
29
-
-
11944256211
-
Experimental study of critical-mass fluctuations in an evolving sandpile
-
Held GA, Solina DH II, Keane DT, Haag WJ, Horn PM and Grinstein G 1990 Experimental study of critical-mass fluctuations in an evolving sandpile Phys. Rev. Lett. 65 1120
-
(1990)
Phys. Rev. Lett.
, vol.65
, Issue.9
, pp. 1120
-
-
Held, G.A.1
Solina, D.H.2
Keane, D.T.3
Haag, W.J.4
Horn, P.M.5
Grinstein, G.6
-
30
-
-
21344437663
-
The evidence for self-organized criticality in sandpile dynamics
-
Feder J 1995 The evidence for self-organized criticality in sandpile dynamics Fractals 3 431
-
(1995)
Fractals
, vol.3
, Issue.3
, pp. 431
-
-
Feder, J.1
-
31
-
-
0029657037
-
Avalanche dynamics in a pile of rice
-
Frette V, Christensen K, Malthe-Sørenssen A, Feder J, Jøssang T and Meakin P 1996 Avalanche dynamics in a pile of rice Nature 379 49
-
(1996)
Nature
, vol.379
, Issue.6560
, pp. 49
-
-
Frette, V.1
Christensen, K.2
Malthe-Sørenssen, A.3
Feder, J.4
Jøssang, T.5
Meakin, P.6
-
32
-
-
42749100091
-
Avalanche dynamics, surface roughening, and self-organized criticality: Experiments on three-dimensional pile of rice
-
Aegerter CM, Günter R and Wijngaarden RJ 2003 Avalanche dynamics, surface roughening, and self-organized criticality: experiments on three-dimensional pile of rice Phys. Rev. E 67 051306
-
(2003)
Phys. Rev.
, vol.67
, Issue.5
, pp. 051306
-
-
Aegerter, C.M.1
Günter, R.2
Wijngaarden, R.J.3
-
33
-
-
0035844601
-
Avalanches in one-dimensional piles with different types of bases
-
Altshuler E, Ramos O, Martínez C, Flores LE and Noda C 2001 Avalanches in one-dimensional piles with different types of bases Phys. Rev. Lett. 86 5490
-
(2001)
Phys. Rev. Lett.
, vol.86
, Issue.24
, pp. 5490
-
-
Altshuler, E.1
Ramos, O.2
Martínez, C.3
Flores, L.E.4
Noda, C.5
-
37
-
-
19944404196
-
Vortex avalanches with robust statistics observed in superconducting niobium
-
Altshuler E et al 2004 Vortex avalanches with robust statistics observed in superconducting niobium Phys. Rev. B 70 140505(R)
-
(2004)
Phys. Rev.
, vol.70
, Issue.14
, pp. 140505
-
-
Altshuler, E.1
-
38
-
-
4043077828
-
Experiments in vortex avalanches
-
For a review, see Altshuler E and Johansen TH 2004 Experiments in vortex avalanches Rev. Mod. Phys. 76 471
-
(2004)
Rev. Mod. Phys.
, vol.76
, Issue.2
, pp. 471
-
-
Altshuler, E.1
Johansen, T.H.2
-
39
-
-
0041655138
-
Generic scale-invariance and self-organized criticality
-
See Grinstein G 1995 Generic scale-invariance and self-organized criticality Scale-Invariance, Interfaces and Non-Equilibrium Dynamics (Proc. 1994 NATO Adv. Study Inst.) ed A McKane et al (London: Plenum) and references therein
-
(1995)
Scale-Invariance, Interfaces and Non-Equilibrium Dynamics
-
-
Grinstein, G.1
-
40
-
-
0000170094
-
Generic scale invariance in classical nonequilibrium systems
-
Grinstein G 1991 Generic scale invariance in classical nonequilibrium systems J. Appl. Phys. 69 5441
-
(1991)
J. Appl. Phys.
, vol.69
, Issue.8
, pp. 5441
-
-
Grinstein, G.1
-
41
-
-
27144543230
-
How generic scale invariance influences quantum and classical phase transitions
-
See also Belitz D, Kirkpatrick T and Vojta T 2005 How generic scale invariance influences quantum and classical phase transitions Rev. Mod. Phys. 77 580
-
(2005)
Rev. Mod. Phys.
, vol.77
, Issue.2
, pp. 579
-
-
Belitz, D.1
Kirkpatrick, T.2
Vojta, T.3
-
43
-
-
77954816856
-
Self-organized criticality as a phase transition
-
Alava M 2004 Self-organized criticality as a phase transition Advances in Condensed Matter and Statistical Physics ed E Korutcheva and R Cuerno (New York: Nova Science) and references therein
-
(2004)
Advances in Condensed Matter and Statistical Physics
-
-
Alava, M.1
-
44
-
-
29044436791
-
Power spectra of self-organized critical sandpiles
-
Laurson L, Alava MJ and Zapperi S 2005 Power spectra of self-organized critical sandpiles J. Stat. Mech. L11001
-
(2005)
J. Stat. Mech.
, vol.2005
, Issue.11
, pp. 11001
-
-
Laurson, L.1
Alava, M.J.2
Zapperi, S.3
-
45
-
-
0031165113
-
Order parameter and scaling fields in self-organized criticality
-
Vespignani A and Zapperi S 1997 Order parameter and scaling fields in self-organized criticality Phys. Rev. Lett. 78 4793
-
(1997)
Phys. Rev. Lett.
, vol.78
, Issue.25
, pp. 4793
-
-
Vespignani, A.1
Zapperi, S.2
-
46
-
-
4243736448
-
How self-organized criticality works: An unified mean-field picture
-
Vespignani A and Zapperi S 1998 How self-organized criticality works: an unified mean-field picture Phys. Rev. E 57 6345
-
(1998)
Phys. Rev.
, vol.57
, Issue.6
, pp. 6345
-
-
Vespignani, A.1
Zapperi, S.2
-
47
-
-
5944235983
-
Simplest possible self-organized critical system
-
Flyvbjerg H 1996 Simplest possible self-organized critical system Phys. Rev. Lett. 76 940
-
(1996)
Phys. Rev. Lett.
, vol.76
, Issue.6
, pp. 940
-
-
Flyvbjerg, H.1
-
48
-
-
0000900269
-
Conservation laws, anisotropy, and 'self-organized criticality' in noisy nonequilibrium systems
-
Grinstein G, Lee D-H and Sachdev S 1990 Conservation laws, anisotropy, and 'self-organized criticality' in noisy nonequilibrium systems Phys. Rev. Lett. 64 1927
-
(1990)
Phys. Rev. Lett.
, vol.64
, Issue.16
, pp. 1927
-
-
Grinstein, G.1
Lee, D.-H.2
Sachdev, S.3
-
49
-
-
0008087266
-
Scale invariance of nonconserved quantities in driven systems
-
Grinstein G, Jayaprakash C and Socolar JE S 1993 Scale invariance of nonconserved quantities in driven systems Phys. Rev. E 48 R643
-
(1993)
Phys. Rev.
, vol.48
, Issue.2
, pp. 643
-
-
Grinstein, G.1
Jayaprakash, C.2
Socolar Je, S.3
-
50
-
-
0000879014
-
On self-organized criticality in nonconserving systems
-
Socolar JE S, Grinstein G and Jayaprakash C 1993 On self-organized criticality in nonconserving systems Phys. Rev. E 47 2366
-
(1993)
Phys. Rev.
, vol.47
, Issue.4
, pp. 2366
-
-
Socolar Je, S.1
Grinstein, G.2
Jayaprakash, C.3
-
51
-
-
0000902174
-
Avalanche merging and continuous flow in a sandpile model
-
Corral A and Paczuski M 1999 Avalanche merging and continuous flow in a sandpile model Phys. Rev. Lett. 83 572
-
(1999)
Phys. Rev. Lett.
, vol.83
, Issue.3
, pp. 572
-
-
Corral, A.1
Paczuski, M.2
-
52
-
-
0040982184
-
Self-organized criticality in non-conservative models
-
Bak P 1992 Self-organized criticality in non-conservative models Physica A 191 41
-
(1992)
Physica
, vol.191
, Issue.1-4
, pp. 41
-
-
Bak, P.1
-
53
-
-
11544332758
-
Avalanches, hydrodynamics, and discharge events in models of sandpiles
-
Hwa T and Kardar M 1992 Avalanches, hydrodynamics, and discharge events in models of sandpiles Phys. Rev. A 45 7002
-
(1992)
Phys. Rev.
, vol.45
, Issue.10
, pp. 7002
-
-
Hwa, T.1
Kardar, M.2
-
54
-
-
0000793950
-
Dissipative transport in open systems: An investigation of self-organized criticality
-
Hwa T and Kardar M 1989 Dissipative transport in open systems: an investigation of self-organized criticality Phys. Rev. Lett. 62 1813
-
(1989)
Phys. Rev. Lett.
, vol.62
, Issue.16
, pp. 1813
-
-
Hwa, T.1
Kardar, M.2
-
55
-
-
11744326567
-
Fractals and self-organized criticality in dissipative dynamics
-
Hwa T and Kardar M 1992 Fractals and self-organized criticality in dissipative dynamics Physica D 38 198
-
(1992)
Physica
, vol.38
, Issue.1-3
, pp. 198
-
-
Hwa, T.1
Kardar, M.2
-
56
-
-
33646951043
-
Dissipative sandpile models with universal exponents
-
Malcai O, Shilo Y and Biham O 2006 Dissipative sandpile models with universal exponents Phys. Rev. E 73 056125
-
(2006)
Phys. Rev.
, vol.73
, Issue.5
, pp. 056125
-
-
Malcai, O.1
Shilo, Y.2
Biham, O.3
-
58
-
-
0000593802
-
Proof of breaking of self-organized criticality in a nonconservative Abelian sandpile model
-
Tsuchiya T and Katori M 2000 Proof of breaking of self-organized criticality in a nonconservative Abelian sandpile model Phys. Rev. E 61 1183
-
(2000)
Phys. Rev.
, vol.61
, Issue.2
, pp. 1183
-
-
Tsuchiya, T.1
Katori, M.2
-
59
-
-
0035276038
-
Dissipative Abelian sandpiles and random walks
-
Vanderzande C and Daerden F 2001 Dissipative Abelian sandpiles and random walks Phys. Rev. E 63 030301(R)
-
(2001)
Phys. Rev.
, vol.63
, Issue.3
, pp. 030301
-
-
Vanderzande, C.1
Daerden, F.2
-
60
-
-
0342561555
-
Nonconservative Abelian sandpile model with the Bak-Tang-Wiesenfeld toppling rule
-
Vzquez A 2000 Nonconservative Abelian sandpile model with the Bak-Tang-Wiesenfeld toppling rule Phys. Rev. E 62 7797
-
(2000)
Phys. Rev.
, vol.62
, Issue.6
, pp. 7797
-
-
Vzquez, A.1
-
61
-
-
33244495039
-
Scaling properties of a one-dimensional sandpile model with grain dissipation
-
Jettestuen E and Malthe-Sørenssen A 2005 Scaling properties of a one-dimensional sandpile model with grain dissipation Phys. Rev. E 72 062302
-
(2005)
Phys. Rev.
, vol.72
, Issue.6
, pp. 062302
-
-
Jettestuen, E.1
Malthe-Sørenssen, A.2
-
62
-
-
0007125437
-
Scaling behavior in disordered sandpile automata
-
Tadić B, Nowak U, Usadel KD, Ramaswamy R and Padlewski S 1992 Scaling behavior in disordered sandpile automata Phys. Rev. A 45 8536
-
(1992)
Phys. Rev.
, vol.45
, Issue.12
, pp. 8536
-
-
Tadić, B.1
Nowak, U.2
Usadel, K.D.3
Ramaswamy, R.4
Padlewski, S.5
-
63
-
-
0037061404
-
A solvable non-conservative model of self-organised criticality
-
Pruessner G and Jensen HJ 2002 A solvable non-conservative model of self-organised criticality Europhys. Lett. 58 250
-
(2002)
Europhys. Lett.
, vol.58
, Issue.2
, pp. 250
-
-
Pruessner, G.1
Jensen, H.J.2
-
64
-
-
34247174010
-
Self-organized critical branching in systems that violate conservation laws
-
Juanico DE, Monterola C and Saloma C 2007 Self-organized critical branching in systems that violate conservation laws New J. Phys. 9 92
-
(2007)
New J. Phys.
, vol.9
, Issue.4
, pp. 92
-
-
Juanico, D.E.1
Monterola, C.2
Saloma, C.3
-
65
-
-
34547405744
-
Background activity drives criticality of neuronal avalanches
-
Juanico DE and Monterola C 2007 Background activity drives criticality of neuronal avalanches J. Phys. A: Math. Theor. 40 9297
-
(2007)
J. Phys. A: Math. Theor.
, vol.40
, Issue.31
, pp. 9297
-
-
Juanico, D.E.1
Monterola, C.2
-
66
-
-
34247354598
-
Dissipative self-organized branching in a dynamic population
-
Juanico DE, Monterola C and Saloma C 2007 Dissipative self-organized branching in a dynamic population Phys. Rev. E 75 045105(R)
-
(2007)
Phys. Rev.
, vol.75
, Issue.4
, pp. 045105
-
-
Juanico, D.E.1
Monterola, C.2
Saloma, C.3
-
67
-
-
36749042711
-
Dynamical synapses causing self-organized criticality in neural networks
-
Levina A, Herrmann JM and Geisel T 2007 Dynamical synapses causing self-organized criticality in neural networks Nat. Phys. 3 857
-
(2007)
Nat. Phys.
, vol.3
, Issue.12
, pp. 857
-
-
Levina, A.1
Herrmann, J.M.2
Geisel, T.3
-
68
-
-
72449132086
-
-
Bonachela JA 2008 Universality in self-organized criticality PhD Thesis Universidad de Granada
-
(2008)
PhD Thesis
-
-
Bonachela, J.A.1
-
71
-
-
0000039422
-
Self-organized criticality as an absorbing phase transition
-
Dickman R, Vespignani A and Zapperi S 1998 Self-organized criticality as an absorbing phase transition Phys. Rev. E 57 5095
-
(1998)
Phys. Rev.
, vol.57
, Issue.5
, pp. 5095
-
-
Dickman, R.1
Vespignani, A.2
Zapperi, S.3
-
72
-
-
3843080724
-
Driving, conservation and absorbing states in sandpiles
-
Vespignani A, Dickman R, Mũoz M A and Zapperi S 1998 Driving, conservation and absorbing states in sandpiles Phys. Rev. Lett. 81 5676
-
(1998)
Phys. Rev. Lett.
, vol.81
, Issue.25
, pp. 5676
-
-
Vespignani, A.1
Dickman, R.2
Mũoz, M.A.3
Zapperi, S.4
-
74
-
-
25044440863
-
Sandpiles and absorbing state phase transitions: Recent results and open problems
-
Mũoz M A, Dickman R, Pastor-Satorras R, Vespignani A and Zapperi S 2001 Sandpiles and absorbing state phase transitions: recent results and open problems Modeling Complex Systems AIP Conf. Proc. 574 102
-
(2001)
AIP Conf. Proc.
, vol.574
, pp. 102
-
-
Mũoz, M.A.1
Dickman, R.2
Pastor-Satorras, R.3
Vespignani, A.4
Zapperi, S.5
-
75
-
-
33750975370
-
Sticky grains do not change the universality class of isotropic sandpiles
-
Bonachela JA, Ramasco JJ, Chaté H, Dornic I and Mũoz M A 2006 Sticky grains do not change the universality class of isotropic sandpiles Phys. Rev. E 74 050102(R)
-
(2006)
Phys. Rev.
, vol.74
, Issue.5
, pp. 050102
-
-
Bonachela, J.A.1
Ramasco, J.J.2
Chaté, H.3
Dornic, I.4
Mũoz, M.A.5
-
76
-
-
34547855847
-
How to discriminate easily between directed-percolation and manna scaling
-
Bonachela JA and Mũoz M A 2007 How to discriminate easily between directed-percolation and manna scaling Physica A 384 89
-
(2007)
Physica
, vol.384
, Issue.1
, pp. 89
-
-
Bonachela, J.A.1
Mũoz, M.A.2
-
77
-
-
54149089670
-
Confirming and extending the hypothesis of universality in sandpiles
-
Bonachela JA and Mũoz M A 2008 Confirming and extending the hypothesis of universality in sandpiles Phys. Rev. E 78 041102
-
(2008)
Phys. Rev.
, vol.78
, Issue.4
, pp. 041102
-
-
Bonachela, J.A.1
Mũoz, M.A.2
-
78
-
-
64849084244
-
Boundary-induced heterogeneous absorbing states
-
Bonachela JA and Mũoz M A 2009 Boundary-induced heterogeneous absorbing states Modeling and Simulation of New Materials: Tenth Granada Lectures AIP Conf. Proc. 1091 204
-
(2009)
AIP Conf. Proc.
, vol.1091
, pp. 204
-
-
Bonachela, J.A.1
Mũoz, M.A.2
-
79
-
-
4243856764
-
Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes
-
Olami Z, Feder HJ S and Christensen K 1992 Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes Phys. Rev. Lett. 68 1244 See also [47]
-
(1992)
Phys. Rev. Lett.
, vol.68
, Issue.8
, pp. 1244
-
-
Olami, Z.1
Feder Hj, S.2
Christensen, K.3
-
82
-
-
0024932740
-
Earthquakes as a self-organized critical phenomenon
-
Bak P and Tang C 1989 Earthquakes as a self-organized critical phenomenon J. Geophys. Res. 94 15635
-
(1989)
J. Geophys. Res.
, vol.94
, Issue.B11
, pp. 15635
-
-
Bak, P.1
Tang, C.2
-
83
-
-
0001349398
-
Self-organized criticality in a crack-propagation model of earthquakes
-
Chen K, Bak P and Obukhov SP 1991 Self-organized criticality in a crack-propagation model of earthquakes Phys. Rev. A 43 625
-
(1991)
Phys. Rev.
, vol.43
, Issue.2
, pp. 625
-
-
Chen, K.1
Bak, P.2
Obukhov, S.P.3
-
84
-
-
0042212553
-
Self-organized criticality in a stick-slip process
-
Feder HJS and Feder J 1991 Self-organized criticality in a stick-slip process Phys. Rev. Lett. 66 2669
-
(1991)
Phys. Rev. Lett.
, vol.66
, Issue.20
, pp. 2669
-
-
Feder, H.J.S.1
Feder, J.2
-
85
-
-
0001488694
-
Deterministic 1/f noise in nonconservative models of self-organized criticality
-
Christensen K, Olami Z and Bak P 1992 Deterministic 1/f noise in nonconservative models of self-organized criticality Phys. Rev. Lett. 68 2417
-
(1992)
Phys. Rev. Lett.
, vol.68
, Issue.16
, pp. 2417
-
-
Christensen, K.1
Olami, Z.2
Bak, P.3
-
86
-
-
4243862527
-
Scaling, phase transitions, and nonuniversality in a self-organized critical cellular automaton model
-
Christensen K and Olami Z 1992 Scaling, phase transitions, and nonuniversality in a self-organized critical cellular automaton model Phys. Rev. A 46 1829
-
(1992)
Phys. Rev.
, vol.46
, Issue.4
, pp. 1829
-
-
Christensen, K.1
Olami, Z.2
-
87
-
-
0001445250
-
Self-organized critical forest-fire model
-
Drossel B and Schwabl F 1992 Self-organized critical forest-fire model Phys. Rev. Lett. 69 1629
-
(1992)
Phys. Rev. Lett.
, vol.69
, Issue.11
, pp. 1629
-
-
Drossel, B.1
Schwabl, F.2
-
88
-
-
4243059703
-
Exact results for the one-dimensional self-organized critical forest-fire model
-
Drossel B, Clar S and Schwabl F 1993 Exact results for the one-dimensional self-organized critical forest-fire model Phys. Rev. Lett. 71 3739
-
(1993)
Phys. Rev. Lett.
, vol.71
, Issue.23
, pp. 3739
-
-
Drossel, B.1
Clar, S.2
Schwabl, F.3
-
89
-
-
0001387587
-
Forest fires and other examples of self-organized criticality
-
Clar S, Drossel B and Schwabl F 1996 Forest fires and other examples of self-organized criticality J. Phys.: Condens. Matter 8 6803
-
(1996)
J. Phys.: Condens. Matter
, vol.8
, Issue.37
, pp. 6803
-
-
Clar, S.1
Drossel, B.2
Schwabl, F.3
-
90
-
-
0000399039
-
Finite-size effects in the self-organized critical forest-fire model
-
Schenk K, Drossel B, Clar S and Schwabl F 2000 Finite-size effects in the self-organized critical forest-fire model Eur. Phys. J. B 15 177
-
(2000)
Eur. Phys. J.
, vol.15
, Issue.1
, pp. 177
-
-
Schenk, K.1
Drossel, B.2
Clar, S.3
Schwabl, F.4
-
91
-
-
15744401041
-
-
Early models of forest-fires had been proposed before the automaton by Drossel-Schwabl Bak P, Chen K and Tang C 1988 Phys. Rev. A 38 364
-
(1988)
Phys. Rev.
, vol.38
, Issue.1
, pp. 364
-
-
Bak, P.1
Chen, K.2
Tang, C.3
-
92
-
-
4244049965
-
A forest-fire model and some thoughts on turbulence
-
Bak P, Chen K and Tang C 1990 A forest-fire model and some thoughts on turbulence Phys. Lett. A 147 297
-
(1990)
Phys. Lett.
, vol.147
, Issue.5-6
, pp. 297
-
-
Bak, P.1
Chen, K.2
Tang, C.3
-
93
-
-
0000672874
-
A deterministic forest fire model
-
Chen K, Bak P and Jensen MH 1990 A deterministic forest fire model Phys. Lett. A 149 207
-
(1990)
Phys. Lett.
, vol.149
, Issue.4
, pp. 207
-
-
Chen, K.1
Bak, P.2
Jensen, M.H.3
-
94
-
-
0000365891
-
On a forest fire model with supposed self organized criticality
-
They all were soon after disproved to be critical, at least in two-dimensions Grassberger P and Kantz H 1991 On a forest fire model with supposed self organized criticality J. Stat. Phys. 63 685
-
(1991)
J. Stat. Phys.
, vol.63
, Issue.3-4
, pp. 685
-
-
Grassberger, P.1
Kantz, H.2
-
95
-
-
0000787006
-
Spatio-temporal self-organization in a model of disease spreading
-
Johansen A 1994 Spatio-temporal self-organization in a model of disease spreading Physica D 78 186
-
(1994)
Physica
, vol.78
, Issue.3-4
, pp. 186
-
-
Johansen, A.1
-
96
-
-
0000525711
-
Anomalous scaling in the Bak-Chen-Tang forest fire model
-
Bröker H-M and Grassberger P 1997 Anomalous scaling in the Bak-Chen-Tang forest fire model Phys. Rev. E 56 R4918 See also [20]
-
(1997)
Phys. Rev.
, vol.56
, Issue.5
, pp. 4918
-
-
Bröker, H.-M.1
Grassberger, P.2
-
98
-
-
0000309924
-
Transitions in nonconserving models of self-organized criticality
-
Lise S and Jensen HJ 1996 Transitions in nonconserving models of self-organized criticality Phys. Rev. Lett. 76 2326
-
(1996)
Phys. Rev. Lett.
, vol.76
, Issue.13
, pp. 2326
-
-
Lise, S.1
Jensen, H.J.2
-
99
-
-
0035475014
-
Scaling in a nonconservative earthquake model of self-organized criticality
-
Lise S and Paczuski M 2001 Scaling in a nonconservative earthquake model of self-organized criticality Phys. Rev. E 64 046111
-
(2001)
Phys. Rev.
, vol.64
, Issue.4
, pp. 046111
-
-
Lise, S.1
Paczuski, M.2
-
100
-
-
0035475014
-
Self-organized criticality and universality in a nonconservative earthquake model
-
Lise S and Paczuski M 2001 Self-organized criticality and universality in a nonconservative earthquake model Phys. Rev. E 63 046111
-
(2001)
Phys. Rev.
, vol.64
, Issue.4
, pp. 046111
-
-
Lise, S.1
Paczuski, M.2
-
101
-
-
0041468473
-
Self-organisation to criticality in a system without conservation law
-
Lise S 2002 Self-organisation to criticality in a system without conservation law J. Phys. A: Math. Gen. 35 4641
-
(2002)
J. Phys. A: Math. Gen.
, vol.35
, Issue.22
, pp. 4641
-
-
Lise, S.1
-
102
-
-
43949165332
-
Self-organized criticality with and without conservation
-
Jnosi I M and Kertesz J 1993 Self-organized criticality with and without conservation Physica A 200 174
-
(1993)
Physica
, vol.200
, Issue.1-4
, pp. 179
-
-
Jnosi, I.M.1
Kertesz, J.2
-
103
-
-
35949006905
-
Efficient large-scale simulations of a uniformly driven system
-
Grassberger P 1994 Efficient large-scale simulations of a uniformly driven system Phys. Rev. E 49 2436
-
(1994)
Phys. Rev.
, vol.49
, Issue.3
, pp. 2436
-
-
Grassberger, P.1
-
104
-
-
0000682705
-
Self-organized criticality in nonconserved systems
-
Middleton AA and Tang C 1995 Self-organized criticality in nonconserved systems Phys. Rev. Lett. 74 742
-
(1995)
Phys. Rev. Lett.
, vol.74
, Issue.5
, pp. 742
-
-
Middleton, A.A.1
Tang, C.2
-
105
-
-
33846807713
-
Self-organized critical earthquake model with moving boundary
-
Manna SS and Bhattacharya K 2007 Self-organized critical earthquake model with moving boundary Eur. Phys. J. B 54 493
-
(2007)
Eur. Phys. J.
, vol.54
, Issue.4
, pp. 493
-
-
Manna, S.S.1
Bhattacharya, K.2
-
108
-
-
0000302642
-
Random-neighbor Olami-Feder-Christensen stick-slip model
-
Kinouchi O, Pinho ST R and Prado C 1998 Random-neighbor Olami-Feder-Christensen stick-slip model Phys. Rev. E 58 3997
-
(1998)
Phys. Rev.
, vol.58
, Issue.3
, pp. 3997
-
-
Kinouchi, O.1
Pinho St, R.2
Prado, C.3
-
109
-
-
33645955631
-
Olami-Feder-Christensen model on different networks
-
Caruso F, Latora V, Pluchino A, Rapisarda A and Tadić B 2006 Olami-Feder-Christensen model on different networks Eur. Phys. J. B 50 243
-
(2006)
Eur. Phys. J.
, vol.50
, Issue.1-2
, pp. 243
-
-
Caruso, F.1
Latora, V.2
Pluchino, A.3
Rapisarda, A.4
Tadić, B.5
-
110
-
-
0037014118
-
Nonconservative earthquake model of self-organized criticality on a random graph
-
Lise S and Paczuski M 2002 Nonconservative earthquake model of self-organized criticality on a random graph Phys. Rev. Lett. 88 228301
-
(2002)
Phys. Rev. Lett.
, vol.88
, Issue.22
, pp. 228301
-
-
Lise, S.1
Paczuski, M.2
-
111
-
-
40749161550
-
Periodicity and Criticality in the Olami-Feder-Christensen model of earthquakes
-
Kotani T, Yoshino H and Kawamura H 2008 Periodicity and Criticality in the Olami-Feder-Christensen model of earthquakes Phys. Rev. E 77 010102(R)
-
(2008)
Phys. Rev.
, vol.77
, Issue.1
, pp. 010102
-
-
Kotani, T.1
Yoshino, H.2
Kawamura, H.3
-
112
-
-
0000368785
-
Pulsed-coupled relaxation oscillators: From biological synchronization to self-organized criticality
-
Bottani S 1995 Pulsed-coupled relaxation oscillators: from biological synchronization to self-organized criticality Phys. Rev. Lett. 74 4189
-
(1995)
Phys. Rev. Lett.
, vol.74
, Issue.21
, pp. 4189
-
-
Bottani, S.1
-
113
-
-
0042251381
-
Random neighbor theory of the Olami-Feder-Christensen earthquake model
-
Bröker H-M and Grassberger P 1997 Random neighbor theory of the Olami-Feder-Christensen earthquake model Phys. Rev. E 56 3944
-
(1997)
Phys. Rev.
, vol.56
, Issue.4
, pp. 3944
-
-
Bröker, H.-M.1
Grassberger, P.2
-
114
-
-
0001171761
-
Analysis of a dissipative model of self-organized criticality with random neighbors
-
Chabanol ML and Hakim V 1997 Analysis of a dissipative model of self-organized criticality with random neighbors Phys. Rev. E 56 R2343
-
(1997)
Phys. Rev.
, vol.56
, Issue.3
, pp. 2343
-
-
Chabanol, M.L.1
Hakim, V.2
-
115
-
-
0000618665
-
Self-organized criticality in the Olami-Feder-Christensen model
-
de Carvalho J X and Prado CP C 2000 Self-organized criticality in the Olami-Feder-Christensen model Phys. Rev. Lett. 84 4006
-
(2000)
Phys. Rev. Lett.
, vol.84
, Issue.17
, pp. 4006
-
-
De Carvalho, J.X.1
Prado Cp, C.2
-
117
-
-
0001401125
-
Robustness of scale invariance in models with self-organized criticality
-
Kinouchi O and Prado C 1999 Robustness of scale invariance in models with self-organized criticality Phys. Rev. E 59 4964
-
(1999)
Phys. Rev.
, vol.59
, Issue.5
, pp. 4964
-
-
Kinouchi, O.1
Prado, C.2
-
118
-
-
0037011693
-
Complex scaling behavior of nonconserved self-organized critical systems
-
Drossel B 2002 Complex scaling behavior of nonconserved self-organized critical systems Phys. Rev. Lett. 89 238701
-
(2002)
Phys. Rev. Lett.
, vol.89
, Issue.23
, pp. 238701
-
-
Drossel, B.1
-
120
-
-
33845592373
-
Transient behavior in the Olami-Feder-Christensen model
-
Wissel F and Drossel B 2006 Transient behavior in the Olami-Feder-Christensen model Phys. Rev. E 74 066109
-
(2006)
Phys. Rev.
, vol.74
, Issue.6
, pp. 066109
-
-
Wissel, F.1
Drossel, B.2
-
121
-
-
46349093231
-
Olami-Feder-Christensen model with quenched disorder
-
Bach M, Wissel F and Drossel B 2008 Olami-Feder-Christensen model with quenched disorder Phys. Rev. E 77 067101
-
(2008)
Phys. Rev.
, vol.77
, Issue.6
, pp. 067101
-
-
Bach, M.1
Wissel, F.2
Drossel, B.3
-
122
-
-
3042829451
-
Do earthquakes exhibit self-organized criticality?
-
Yang X, Du S and Ma J 2004 Do earthquakes exhibit self-organized criticality? Phys. Rev. Lett. 92 228501
-
(2004)
Phys. Rev. Lett.
, vol.92
, Issue.22
, pp. 228501
-
-
Yang, X.1
Du, S.2
Ma, J.3
-
123
-
-
0037054134
-
Foreshocks and aftershocks in the Olami-Feder-Christensen model
-
Hergarten S and Neugebauer HJ 2002 Foreshocks and aftershocks in the Olami-Feder-Christensen model Phys. Rev. Lett. 88 238501
-
(2002)
Phys. Rev. Lett.
, vol.88
, Issue.23
, pp. 238501
-
-
Hergarten, S.1
Neugebauer, H.J.2
-
124
-
-
37649030744
-
Properties of foreshocks and aftershocks of the nonconservative self-organized critical Olami-Feder-Christensen model
-
Helmstetter A, Hergarten S and Sornette D 2004 Properties of foreshocks and aftershocks of the nonconservative self-organized critical Olami-Feder-Christensen model Phys. Rev. E 70 046120
-
(2004)
Phys. Rev.
, vol.70
, Issue.4
, pp. 046120
-
-
Helmstetter, A.1
Hergarten, S.2
Sornette, D.3
-
126
-
-
0001436972
-
Statics of a 'self-organized' percolation model
-
Henley C 1993 Statics of a 'self-organized' percolation model Phys. Rev. Lett. 71 2741
-
(1993)
Phys. Rev. Lett.
, vol.71
, Issue.17
, pp. 2741
-
-
Henley, C.1
-
127
-
-
0032544342
-
Forest fires: An example of self-organized critical behavior
-
Malamud BD, Morein G and Turcotte DL 1998 Forest fires: an example of self-organized critical behavior Science 281 1840
-
(1998)
Science
, vol.281
, Issue.5384
, pp. 1840
-
-
Malamud, B.D.1
Morein, G.2
Turcotte, D.L.3
-
128
-
-
0035798492
-
Percolation in real wildfires
-
Caldarelli G, Frondoni R, Gabrielli A, Montuori M, Retzlaff R and Ricotta C 2001 Percolation in real wildfires Europhys. Lett. 56 510
-
(2001)
Europhys. Lett.
, vol.56
, Issue.4
, pp. 510
-
-
Caldarelli, G.1
Frondoni, R.2
Gabrielli, A.3
Montuori, M.4
Retzlaff, R.5
Ricotta, C.6
-
131
-
-
0001152086
-
Self-organized critical forest-fire model: Mean-field theory and simulation results in 1 to 6 dimensions
-
Christensen K, Flyvbjerg H and Olami Z 1993 Self-organized critical forest-fire model: mean-field theory and simulation results in 1 to 6 dimensions Phys. Rev. Lett. 71 2737
-
(1993)
Phys. Rev. Lett.
, vol.71
, Issue.17
, pp. 2737
-
-
Christensen, K.1
Flyvbjerg, H.2
Olami, Z.3
-
132
-
-
0000365891
-
On a forest fire model with supposed self-organized criticality
-
Grassberger P 1991 On a forest fire model with supposed self-organized criticality J. Stat. Phys. 63 685
-
(1991)
J. Stat. Phys.
, vol.63
, Issue.3-4
, pp. 685
-
-
Grassberger, P.1
-
133
-
-
0034180251
-
Corrections to scaling in the forest-fire model
-
Pastor-Satorras R and Vespignani A 2000 Corrections to scaling in the forest-fire model Phys. Rev. E 61 4854
-
(2000)
Phys. Rev.
, vol.61
, Issue.5
, pp. 4854
-
-
Pastor-Satorras, R.1
Vespignani, A.2
-
134
-
-
21344460205
-
On a self-organized critical forest-fire model
-
Grassberger P 1993 On a self-organized critical forest-fire model J. Phys. A: Math. Gen. 26 2081
-
(1993)
J. Phys. A: Math. Gen.
, vol.26
, Issue.9
, pp. 2081
-
-
Grassberger, P.1
-
135
-
-
0042078317
-
Length scales and power laws in the two-dimensional forest-fire model
-
Honecker A and Peschel I 1997 Length scales and power laws in the two-dimensional forest-fire model Physica A 239 509
-
(1997)
Physica
, vol.239
, Issue.4
, pp. 509
-
-
Honecker, A.1
Peschel, I.2
-
136
-
-
41349115690
-
Broken scaling in the forest-fire model
-
Pruessner G and Jensen HJ 2002 Broken scaling in the forest-fire model Phys. Rev. E 65 056707
-
(2002)
Phys. Rev.
, vol.65
, Issue.5
, pp. 056707
-
-
Pruessner, G.1
Jensen, H.J.2
-
137
-
-
3042658761
-
Critical behaviour of the Drossel-Schwabl forest fire model
-
Grassberger P 2002 Critical behaviour of the Drossel-Schwabl forest fire model New J. Phys. 4 17
-
(2002)
New J. Phys.
, vol.4
, pp. 17
-
-
Grassberger, P.1
-
138
-
-
0042474344
-
Self-organized branching processes: Mean-field theory for avalanches
-
Zapperi S, Lauritsen KB and Stanley HE 1995 Self-organized branching processes: mean-field theory for avalanches Phys. Rev. Lett. 75 4071
-
(1995)
Phys. Rev. Lett.
, vol.75
, Issue.22
, pp. 4071
-
-
Zapperi, S.1
Lauritsen, K.B.2
Stanley, H.E.3
-
139
-
-
0000613143
-
Critical behavior of a sandpile model as a self-organize branching process
-
See also Ivashkevich EV 1996 Critical behavior of a sandpile model as a self-organize branching process Phys. Rev. Lett. 76 3368
-
(1996)
Phys. Rev. Lett.
, vol.76
, Issue.18
, pp. 3368
-
-
Ivashkevich, E.V.1
-
140
-
-
0000581607
-
Sandpile models with and without an underlying spatial structure
-
Christensen K and Olami Z 1993 Sandpile models with and without an underlying spatial structure Phys. Rev. E 48 3361
-
(1993)
Phys. Rev.
, vol.48
, Issue.5
, pp. 3361
-
-
Christensen, K.1
Olami, Z.2
-
141
-
-
0001564372
-
Self-organized branching processes: Avalanche models with dissipation
-
Lauritsen KB, Zapperi S and Stanley HE 1996 Self-organized branching processes: avalanche models with dissipation Phys. Rev. E 54 2483
-
(1996)
Phys. Rev.
, vol.54
, Issue.3
, pp. 2483
-
-
Lauritsen, K.B.1
Zapperi, S.2
Stanley, H.E.3
-
142
-
-
4244215017
-
Critical exponents and scaling relations for self-organized critical phenomena
-
Tang C and Bak P 1988 Critical exponents and scaling relations for self-organized critical phenomena Phys. Rev. Lett. 60 2347
-
(1988)
Phys. Rev. Lett.
, vol.60
, Issue.23
, pp. 2347
-
-
Tang, C.1
Bak, P.2
-
143
-
-
0000943599
-
Avalanches, transport, and local equilibrium in self-organized criticality
-
See also Montakhab A and Carlson JM 1998 Avalanches, transport, and local equilibrium in self-organized criticality Phys. Rev. E 58 5608
-
(1998)
Phys. Rev.
, vol.58
, Issue.5
, pp. 5608
-
-
Montakhab, A.1
Carlson, J.M.2
-
144
-
-
0034334818
-
Nonequilibrium critical phenomena and phase transitions into absorbing states
-
Hinrichsen H 2000 Nonequilibrium critical phenomena and phase transitions into absorbing states Adv. Phys. 49 815
-
(2000)
Adv. Phys.
, vol.49
, Issue.7
, pp. 815
-
-
Hinrichsen, H.1
-
145
-
-
7244229813
-
Universality classes in nonequilibrium lattice systems
-
dor G 2004 Universality classes in nonequilibrium lattice systems Rev. Mod. Phys. 76 663
-
(2004)
Rev. Mod. Phys.
, vol.76
, Issue.3
, pp. 663
-
-
Dor, G.1
-
147
-
-
0000486211
-
Mapping self-organized criticality onto criticality
-
Sornette D, Johansen A and Dornic I 1995 Mapping self-organized criticality onto criticality J. Physique I 5 325
-
(1995)
J. Physique
, vol.5
, Issue.3
, pp. 325
-
-
Sornette, D.1
Johansen, A.2
Dornic, I.3
-
148
-
-
0344672449
-
SOC in a population model with global control
-
Bröker H-M and Grassberger P 1999 SOC in a population model with global control Physica A 267 453
-
(1999)
Physica
, vol.267
, Issue.3-4
, pp. 453
-
-
Bröker, H.-M.1
Grassberger, P.2
-
150
-
-
4243410993
-
Avalanche and spreading exponents in systems with absorbing states
-
Mũoz M A, Dickman R, Vespignani A and Zapperi S 1999 Avalanche and spreading exponents in systems with absorbing states Phys. Rev. E 59 6175
-
(1999)
Phys. Rev.
, vol.59
, Issue.5
, pp. 6175
-
-
Mũoz, M.A.1
Dickman, R.2
Vespignani, A.3
Zapperi, S.4
-
151
-
-
33644536089
-
Self-organized criticality and absorbing states: Lessons from the Ising model
-
Some criticisms to this picture were raised in Pruessner G and Peters O 2006 Self-organized criticality and absorbing states: lessons from the Ising model Phys. Rev. E 73 025106(R)
-
(2006)
Phys. Rev.
, vol.73
, Issue.2
, pp. 025106
-
-
Pruessner, G.1
Peters, O.2
-
153
-
-
42949107507
-
Reply to comment on: Self-organized criticality and absorbing states: Lessons from the Ising model
-
See also Pruessner G and Peters O 2008 Reply to comment on: self-organized criticality and absorbing states: Lessons from the Ising model Phys. Rev. E 77 048102 We shall further clarify the dangling issues in a future work
-
(2008)
Phys. Rev.
, vol.77
, Issue.4
, pp. 048102
-
-
Pruessner, G.1
Peters, O.2
-
154
-
-
6744242026
-
Universality class of absorbing phase transitions with a conserved field
-
Rossi M, Pastor-Satorras R and Vespignani A 2000 Universality class of absorbing phase transitions with a conserved field Phys. Rev. Lett. 85 1803
-
(2000)
Phys. Rev. Lett.
, vol.85
, Issue.9
, pp. 1803
-
-
Rossi, M.1
Pastor-Satorras, R.2
Vespignani, A.3
-
155
-
-
0034317179
-
Field theory of absorbing phase transitions with a non-diffusive conserved field
-
Pastor-Satorras R and Vespignani A 2000 Field theory of absorbing phase transitions with a non-diffusive conserved field Phys. Rev. E 62 R5875
-
(2000)
Phys. Rev.
, vol.62
, Issue.5
, pp. 5875
-
-
Pastor-Satorras, R.1
Vespignani, A.2
-
156
-
-
14844354256
-
Universal scaling behavior of non-equilibrium phase transitions
-
Lübeck S 2004 Universal scaling behavior of non-equilibrium phase transitions Int. J. Mod. Phys. B 18 3977
-
(2004)
Int. J. Mod. Phys.
, vol.18
, Issue.31
, pp. 3977
-
-
Lübeck, S.1
-
157
-
-
0000885689
-
Avalanches and the renormalization group for pinned charge-density waves
-
Narayan O and Middleton AA 1994 Avalanches and the renormalization group for pinned charge-density waves Phys. Rev. B 49 244
-
(1994)
Phys. Rev.
, vol.49
, Issue.1
, pp. 244
-
-
Narayan, O.1
Middleton, A.A.2
-
158
-
-
0001040381
-
Universality in sandpiles, interface depinning, and earthquake models
-
Paczuski M and Boettcher S 1996 Universality in sandpiles, interface depinning, and earthquake models Phys. Rev. Lett. 77 111
-
(1996)
Phys. Rev. Lett.
, vol.77
, Issue.1
, pp. 111
-
-
Paczuski, M.1
Boettcher, S.2
-
159
-
-
0035263666
-
Quenched noise and over-active sites in sandpile dynamics
-
Alava MJ and Lauritsen KB 2001 Quenched noise and over-active sites in sandpile dynamics Europhys. Lett. 53 569
-
(2001)
Europhys. Lett.
, vol.53
, Issue.5
, pp. 563
-
-
Alava, M.J.1
Lauritsen, K.B.2
-
160
-
-
45849155417
-
Oslo rice pile model is a quenched Edwards-Wilkinson equation
-
Pruessner G 2003 Oslo rice pile model is a quenched Edwards-Wilkinson equation Phys. Rev. E 67 030301
-
(2003)
Phys. Rev.
, vol.67
, Issue.3
, pp. 030301
-
-
Pruessner, G.1
-
161
-
-
0342995777
-
Interface scaling in the contact process
-
Dickman R and Mũoz M A 2000 Interface scaling in the contact process Phys. Rev. E 62 7632
-
(2000)
Phys. Rev.
, vol.62
, Issue.6
, pp. 7632
-
-
Dickman, R.1
Mũoz, M.A.2
-
162
-
-
34247149018
-
Absorbing states and elastic interfaces in random media: Two equivalent descriptions of self-organized criticality
-
Bonachela JA, Chaté H, Dornic I and Mũoz M A 2007 Absorbing states and elastic interfaces in random media: two equivalent descriptions of self-organized criticality Phys. Rev. Lett. 98 155702
-
(2007)
Phys. Rev. Lett.
, vol.98
, Issue.15
, pp. 155702
-
-
Bonachela, J.A.1
Chaté, H.2
Dornic, I.3
Mũoz, M.A.4
-
163
-
-
67549096558
-
Cusps in systems with (many) absorbing states
-
See also Bonachela JA, Alava M and Mũoz M A 2009 Cusps in systems with (many) absorbing states Phys. Rev. E 79 050106R
-
(2009)
Phys. Rev.
, vol.79
-
-
Bonachela, J.A.1
Alava, M.2
Mũoz, M.A.3
-
166
-
-
33744711330
-
Threshold critical dynamics of driven interfaces in random media
-
Narayan O and Fisher DS 1993 Threshold critical dynamics of driven interfaces in random media Phys. Rev. B 48 7030
-
(1993)
Phys. Rev.
, vol.48
, Issue.10
, pp. 7030
-
-
Narayan, O.1
Fisher, D.S.2
-
167
-
-
0035243002
-
Renormalization of pinned elastic systems: How does it work beyond one loop?
-
Chauve P, LeDoussal P and Wiese KJ 2001 Renormalization of pinned elastic systems: how does it work beyond one loop? Phys. Rev. Lett. 86 1785
-
(2001)
Phys. Rev. Lett.
, vol.86
, Issue.9
, pp. 1785
-
-
Chauve, P.1
Ledoussal, P.2
Wiese, K.J.3
-
168
-
-
0036871336
-
Two-loop functional renormalization group theory of the depinning transition
-
LeDoussal P, Wiese KJ and Chauve P 2002 Two-loop functional renormalization group theory of the depinning transition Phys. Rev. B 66 174201
-
(2002)
Phys. Rev.
, vol.66
, Issue.17
, pp. 174201
-
-
Ledoussal, P.1
Wiese, K.J.2
Chauve, P.3
-
170
-
-
0000658964
-
Dynamics of a ferromagnetic domain wall: Avalanches, depinning transition and the Barkhausen effect
-
Cizeau P, Durin G and Stanley H E 1998 Dynamics of a ferromagnetic domain wall: avalanches, depinning transition and the Barkhausen effect Phys. Rev. B 58 6353
-
(1998)
Phys. Rev.
, vol.58
, Issue.10
, pp. 6353
-
-
Cizeau, P.1
Durin, G.2
Stanley, H.E.3
-
172
-
-
18044367726
-
Integration of Langevin equations with multiplicative noise and the viability of field theories for absorbing phase transitions
-
Dornic I, Chaté H and Mũoz MA 2005 Integration of Langevin equations with multiplicative noise and the viability of field theories for absorbing phase transitions Phys. Rev. Lett. 94 100601
-
(2005)
Phys. Rev. Lett.
, vol.94
, Issue.10
, pp. 100601
-
-
Dornic, I.1
Chaté, H.2
Mũoz, M.A.3
-
173
-
-
0001215656
-
Interfacial velocity corrections due to multiplicative noise
-
See also Pechenik L and Levine H 1999 Interfacial velocity corrections due to multiplicative noise Phys. Rev. E 59 3893
-
(1999)
Phys. Rev.
, vol.59
, Issue.4
, pp. 3893
-
-
Pechenik, L.1
Levine, H.2
-
174
-
-
41349119837
-
Numerical schemes for continuum models of reaction-diffusion systems subject to internal noise
-
Moro E 2004 Numerical schemes for continuum models of reaction-diffusion systems subject to internal noise Phys. Rev. E 70 045102
-
(2004)
Phys. Rev.
, vol.70
, Issue.4
, pp. 045102
-
-
Moro, E.1
-
176
-
-
0000940180
-
Renormalized field theory of dynamical percolation
-
Janssen HK 1985 Renormalized field theory of dynamical percolation Z. Phys. B 58 311
-
(1985)
Z. Phys.
, vol.58
, Issue.4
, pp. 311
-
-
Janssen, H.K.1
-
177
-
-
0344287216
-
Self-organized criticality in a forest-fire model
-
See, for instance Clar S, Drossel B, Schenk K and Schwabl F 1999 Self-organized criticality in a forest-fire model Physica A 266 153 and references therein
-
(1999)
Physica
, vol.266
, Issue.1-4
, pp. 153
-
-
Clar, S.1
Drossel, B.2
Schenk, K.3
Schwabl, F.4
-
178
-
-
85066230706
-
Field theoretical approach to etching problems
-
Mũoz M A, Gabrielli A and Sapoval B 2001 Field theoretical approach to etching problems Phys. Rev. E 64 016108
-
(2001)
Phys. Rev.
, vol.64
, Issue.1
, pp. 016108
-
-
Mũoz, M.A.1
Gabrielli, A.2
Sapoval, B.3
-
180
-
-
0001245814
-
Infinite numbers of absorbing states: Critical behavior
-
Mũoz M A, Grinstein G, Dickman R and Livi R 1997 Infinite numbers of absorbing states: critical behavior Physica D 103 485
-
(1997)
Physica
, vol.103
, Issue.1-4
, pp. 485
-
-
Mũoz, M.A.1
Grinstein, G.2
Dickman, R.3
Livi, R.4
-
181
-
-
0039988386
-
Phase structure of systems with infinite numbers of absorbing states
-
Mũoz M A, Grinstein G and Dickman R 1998 Phase structure of systems with infinite numbers of absorbing states J. Stat. Phys. 91 541
-
(1998)
J. Stat. Phys.
, vol.91
, Issue.3-4
, pp. 541
-
-
Mũoz, M.A.1
Grinstein, G.2
Dickman, R.3
-
182
-
-
0001684567
-
Numerical analysis of a Langevin equation for systems with infinite absorbing states
-
López C and Mũoz M A 1997 Numerical analysis of a Langevin equation for systems with infinite absorbing states Phys. Rev. E 56 4864
-
(1997)
Phys. Rev.
, vol.56
, Issue.4
, pp. 4864
-
-
López, C.1
Mũoz, M.A.2
-
183
-
-
0000368786
-
Self-organized criticality and synchronization in a lattice model of integrate-and-fire oscillators
-
Corral A, Pérez C J, Díaz-Guilera A and Arenas A 1995 Self-organized criticality and synchronization in a lattice model of integrate-and-fire oscillators Phys. Rev. Lett. 74 118
-
(1995)
Phys. Rev. Lett.
, vol.74
, Issue.1
, pp. 118
-
-
Corral, A.1
Pérez, C.J.2
Díaz-Guilera, A.3
Arenas, A.4
-
184
-
-
0040890874
-
On Self-organized criticality and synchronization in lattice models of coupled dynamical systems
-
Pérez C J, Corral A, Díaz-Guilera A, Christensen K and Arenas A 1996 On Self-organized criticality and synchronization in lattice models of coupled dynamical systems Int. J. Mod. Phys. B 10 1111
-
(1996)
Int. J. Mod. Phys.
, vol.10
, Issue.10
, pp. 1111
-
-
Pérez, C.J.1
Corral, A.2
Díaz-Guilera, A.3
Christensen, K.4
Arenas, A.5
-
186
-
-
0000784583
-
Universal 1/f noise from dissipative self-organized criticality models
-
De Los Rios P and Zhang Y-C 1999 Universal 1/f noise from dissipative self-organized criticality models Phys. Rev. Lett. 82 472
-
(1999)
Phys. Rev. Lett.
, vol.82
, Issue.3
, pp. 472
-
-
De Los Rios, P.1
Zhang, Y.-C.2
-
187
-
-
0042363645
-
Short period attractors and non-ergodic behavior in the deterministic fixed energy sandpile model
-
Bagnoli F, Cecconi F, Flammini A and Vespignani A 2003 Short period attractors and non-ergodic behavior in the deterministic fixed energy sandpile model Europhys. Lett. 63 512
-
(2003)
Europhys. Lett.
, vol.63
, Issue.4
, pp. 512
-
-
Bagnoli, F.1
Cecconi, F.2
Flammini, A.3
Vespignani, A.4
-
188
-
-
0000131814
-
Rare events and breakdown of simple scaling in the Abelian sandpile model
-
De Menech M, Stella AL and Tebaldi C 1998 Rare events and breakdown of simple scaling in the Abelian sandpile model Phys. Rev. E 58 R2677
-
(1998)
Phys. Rev.
, vol.58
, Issue.3
, pp. 2677
-
-
De Menech, M.1
Stella, A.L.2
Tebaldi, C.3
-
189
-
-
0000535934
-
Multifractal scaling in the Bak-Tang-Wiesenfeld sandpile and edge events
-
Tebaldi C et al 1999 Multifractal scaling in the Bak-Tang-Wiesenfeld sandpile and edge events Phys. Rev. Lett. 83 3952
-
(1999)
Phys. Rev. Lett.
, vol.83
, Issue.19
, pp. 3952
-
-
Tebaldi, C.1
-
191
-
-
0000563105
-
Scaling and universality in avalanches
-
See also, the earlier Kadanoff LP, Nagel SR, Wu L and Zhou S-M 1989 Scaling and universality in avalanches Phys. Rev. A 39 6524
-
(1989)
Phys. Rev.
, vol.39
, Issue.12
, pp. 6524
-
-
Kadanoff, L.P.1
Nagel, S.R.2
Wu, L.3
Zhou, S.-M.4
-
192
-
-
21344498143
-
Structure of two-dimensional sandpile. I. Height probabilities
-
Priezzhev VB 1994 Structure of two-dimensional sandpile. I. Height probabilities J. Stat. Phys. 74 955
-
(1994)
J. Stat. Phys.
, vol.74
, Issue.5-6
, pp. 955
-
-
Priezzhev, V.B.1
-
193
-
-
0000331133
-
Formation of avalanches and critical exponents in the Abelian sandpile model
-
Ivashkevich EV, Ktitarev DV and Priezzhev VB 1994 Formation of avalanches and critical exponents in the Abelian sandpile model Physica A 209 347
-
(1994)
Physica
, vol.209
, Issue.3-4
, pp. 347
-
-
Ivashkevich, E.V.1
Ktitarev, D.V.2
Priezzhev, V.B.3
|