메뉴 건너뛰기




Volumn 2008, Issue 4, 2008, Pages

Local persistence in the directed percolation universality class

Author keywords

Critical exponents and amplitudes (theory); Percolation problems (theory); Persistence (theory)

Indexed keywords


EID: 43049141166     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2008/04/P04015     Document Type: Article
Times cited : (28)

References (95)
  • 2
    • 84957332517 scopus 로고
    • Nontrivial algebraic decay in a soluble model of coarsening
    • Bray A J, Derrida B and Godrèche C 1994 Nontrivial algebraic decay in a soluble model of coarsening Europhys. Lett. 27 175
    • (1994) Europhys. Lett. , vol.27 , Issue.3 , pp. 175
    • Bray, A.J.1    Derrida, B.2    Godrèche, C.3
  • 3
    • 21344489243 scopus 로고
    • Nontrivial exponents in the zero-temperature dynamics of the 1D Ising and Potts models
    • Derrida B, Bray A J and Godrèche C 1994 Nontrivial exponents in the zero-temperature dynamics of the 1D Ising and Potts models J. Phys. A: Math. Gen. 27 L357
    • (1994) J. Phys. A: Math. Gen. , vol.27 , Issue.11 , pp. 357
    • Derrida, B.1    Bray, A.J.2    Godrèche, C.3
  • 4
    • 21344475642 scopus 로고
    • Ising spinodal decomposition at T = 0 in one to five dimensions
    • Stauffer B 1994 Ising spinodal decomposition at T = 0 in one to five dimensions J. Phys. A: Math. Gen. 27 5029
    • (1994) J. Phys. A: Math. Gen. , vol.27 , Issue.14 , pp. 5029
    • Stauffer, B.1
  • 5
    • 21844520177 scopus 로고
    • Proportion of unaffected sites in a reaction-diffusion process
    • Cardy J 1995 Proportion of unaffected sites in a reaction-diffusion process J. Phys. A: Math. Gen. 28 L19
    • (1995) J. Phys. A: Math. Gen. , vol.28 , Issue.1 , pp. 19
    • Cardy, J.1
  • 6
    • 0001530399 scopus 로고
    • Exact first-passage exponents of 1D domain growth: Relation to a reaction-diffusion model
    • Derrida B, Hakim V and Pasquier V 1995 Exact first-passage exponents of 1D domain growth: relation to a reaction-diffusion model Phys. Rev. Lett. 75 751
    • (1995) Phys. Rev. Lett. , vol.75 , Issue.4 , pp. 751
    • Derrida, B.1    Hakim, V.2    Pasquier, V.3
  • 7
    • 0030489281 scopus 로고    scopus 로고
    • Exact exponent for the number of persistent spins in the zero-temperature dynamics of the one-dimensional Potts model
    • Derrida B, Hakim V and Pasquier V 1996 Exact exponent for the number of persistent spins in the zero-temperature dynamics of the one-dimensional Potts model J. Stat. Phys. 85 763
    • (1996) J. Stat. Phys. , vol.85 , Issue.5-6 , pp. 763
    • Derrida, B.1    Hakim, V.2    Pasquier, V.3
  • 8
    • 4143111990 scopus 로고    scopus 로고
    • Persistent spins in the linear diffusion approximation of phase ordering and zeros of stationary Gaussian processes
    • Derrida B, Hakim V and Zeitak R 1996 Persistent spins in the linear diffusion approximation of phase ordering and zeros of stationary Gaussian processes Phys. Rev. Lett. 77 2871
    • (1996) Phys. Rev. Lett. , vol.77 , Issue.14 , pp. 2871
    • Derrida, B.1    Hakim, V.2    Zeitak, R.3
  • 10
    • 0001369067 scopus 로고    scopus 로고
    • Persistence in non-equilibrium systems
    • Majumdar S N 1999 Persistence in non-equilibrium systems Curr. Sci. India 77 370
    • (1999) Curr. Sci. India , vol.77 , pp. 370
    • Majumdar, S.N.1
  • 11
    • 0000990019 scopus 로고    scopus 로고
    • Global persistence exponent for nonequilibrium critical dynamics
    • Majumdar S N, Bray A J, Cornell S J and Sire C 1996 Global persistence exponent for nonequilibrium critical dynamics Phys. Rev. Lett. 77 3704
    • (1996) Phys. Rev. Lett. , vol.77 , Issue.18 , pp. 3704
    • Majumdar, S.N.1    Bray, A.J.2    Cornell, S.J.3    Sire, C.4
  • 13
    • 4243741590 scopus 로고    scopus 로고
    • Persistence, poisoning, and autocorrelations in dilute coarsening
    • Lee B P and Rutenberg A D 1997 Persistence, poisoning, and autocorrelations in dilute coarsening Phys. Rev. Lett. 79 4843
    • (1997) Phys. Rev. Lett. , vol.79 , Issue.24 , pp. 4842
    • Lee, B.P.1    Rutenberg, A.D.2
  • 14
    • 0031583013 scopus 로고    scopus 로고
    • Non-Markovian persistence at the parity conserving point of a one-dimensional nonequilibrium kinetic Ising model
    • Menyhárd N and Ódor G 1997 Non-Markovian persistence at the parity conserving point of a one-dimensional nonequilibrium kinetic Ising model J. Phys. A: Math. Gen. 30 8515
    • (1997) J. Phys. A: Math. Gen. , vol.30 , Issue.24 , pp. 8515
    • Menyhárd, N.1    Ódor, G.2
  • 15
    • 0003042411 scopus 로고    scopus 로고
    • Monte Carlo measurement of the global persistence exponent
    • Schülke L and Zheng B 1997 Monte Carlo measurement of the global persistence exponent Phys. Lett. A 233 93
    • (1997) Phys. Lett. , vol.233 , Issue.1-2 , pp. 93
    • Schülke, L.1    Zheng, B.2
  • 16
    • 0000099303 scopus 로고    scopus 로고
    • Distribution of persistent sites in diffusing systems
    • Zanette D H 1997 Distribution of persistent sites in diffusing systems Phys. Rev. E 55 2462
    • (1997) Phys. Rev. , vol.55 , Issue.3 , pp. 2462
    • Zanette, D.H.1
  • 17
    • 0040633171 scopus 로고    scopus 로고
    • Large deviations and nontrivial exponents in coarsening systems
    • Dornic I and Godrèche C 1998 Large deviations and nontrivial exponents in coarsening systems J. Phys. A: Math. Gen. 31 5413
    • (1998) J. Phys. A: Math. Gen. , vol.31 , Issue.24 , pp. 5413
    • Dornic, I.1    Godrèche, C.2
  • 18
    • 0040113720 scopus 로고    scopus 로고
    • Stationary definition of persistence for finite-temperature phase ordering
    • Drouffe J M and Godrèche C 1998 Stationary definition of persistence for finite-temperature phase ordering J. Phys. A: Math. Gen. 31 9801
    • (1998) J. Phys. A: Math. Gen. , vol.31 , Issue.49 , pp. 9801
    • Drouffe, J.M.1    Godrèche, C.2
  • 19
    • 0032575452 scopus 로고    scopus 로고
    • Global persistence in directed percolation
    • Oerding K and van Wijland F 1998 Global persistence in directed percolation J. Phys. A: Math. Gen. 31 7011
    • (1998) J. Phys. A: Math. Gen. , vol.31 , Issue.34 , pp. 7011
    • Oerding, K.1    Van Wijland, F.2
  • 20
    • 0041384414 scopus 로고    scopus 로고
    • Persistence of manifolds in nonequilibrium critical dynamics
    • Majumdar S N and Bray A J 2003 Persistence of manifolds in nonequilibrium critical dynamics Phys. Rev. Lett. 91 030602
    • (2003) Phys. Rev. Lett. , vol.91 , Issue.3 , pp. 030602
    • Majumdar, S.N.1    Bray, A.J.2
  • 21
    • 0037303253 scopus 로고    scopus 로고
    • Persistence in an antiferromagnetic Ising system with conserved magnetisation
    • Saharay M and Sen P 2003 Persistence in an antiferromagnetic Ising system with conserved magnetisation Physica A 318 243
    • (2003) Physica , vol.318 , Issue.1-2 , pp. 243
    • Saharay, M.1    Sen, P.2
  • 22
    • 85103361467 scopus 로고    scopus 로고
    • Global persistence exponent of the two-dimensional Blume-Capel model
    • da Silva R, Alves N A and Drugowich de Felício J R 2003 Global persistence exponent of the two-dimensional Blume-Capel model Phys. Rev. E 67 057102
    • (2003) Phys. Rev. , vol.67 , Issue.5 , pp. 057102
    • Da Silva, R.1    Alves, N.A.2    Drugowich De Felício, J.R.3
  • 23
    • 10844250979 scopus 로고    scopus 로고
    • Persistence and dynamics in the ANNNI chain
    • Sen P and Dasgupta S 2004 Persistence and dynamics in the ANNNI chain J. Phys. A: Math. Gen. 37 11949
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.50 , pp. 11949
    • Sen, P.1    Dasgupta, S.2
  • 24
    • 14844320839 scopus 로고    scopus 로고
    • Dynamic exponents of a probabilistic three-state cellular automaton
    • da Silva R and Alves N 2005 Dynamic exponents of a probabilistic three-state cellular automaton Physica A 350 263
    • (2005) Physica , vol.350 , Issue.2-4 , pp. 263
    • Da Silva, R.1    Alves, N.2
  • 25
    • 33646503717 scopus 로고    scopus 로고
    • Global persistence exponent of the double-exchange model
    • Fernandes H A and Drugowich de Felício J R 2006 Global persistence exponent of the double-exchange model Phys. Rev. E 73 57101
    • (2006) Phys. Rev. , vol.73 , Issue.5 , pp. 057101
    • Fernandes, H.A.1    Drugowich De Felício, J.R.2
  • 27
    • 0001118857 scopus 로고    scopus 로고
    • How to extract information from simulations of coarsening at finite temperature
    • Derrida B 1997 How to extract information from simulations of coarsening at finite temperature Phys. Rev. E 55 3705
    • (1997) Phys. Rev. , vol.55 , Issue.3 , pp. 3705
    • Derrida, B.1
  • 28
    • 0031381599 scopus 로고    scopus 로고
    • Survivors in the two-dimensional Potts model: Zero-temperature dynamics of
    • Hennecke M 1997 Survivors in the two-dimensional Potts model: zero-temperature dynamics of Physica A 246 519
    • (1997) Physica , vol.246 , Issue.3-4 , pp. 519
    • Hennecke, M.1
  • 29
    • 0031509579 scopus 로고    scopus 로고
    • Universality of Derrida coarsening in Ising models
    • Stauffer D 1997 Universality of Derrida coarsening in Ising models Int. J. Mod. Phys. C 8 361
    • (1997) Int. J. Mod. Phys. , vol.8 , Issue.2 , pp. 361
    • Stauffer, D.1
  • 30
    • 0032301456 scopus 로고    scopus 로고
    • Numerical study of local and global persistence in directed percolation
    • Hinrichsen H and Koduvely H M 1998 Numerical study of local and global persistence in directed percolation Eur. Phys. J. B 5 257
    • (1998) Eur. Phys. J. , vol.5 , Issue.2 , pp. 257
    • Hinrichsen, H.1    Koduvely, H.M.2
  • 31
    • 0000477595 scopus 로고    scopus 로고
    • Identification of domain walls in coarsening systems at finite temperature
    • Hinrichsen H and Antoni M 1998 Identification of domain walls in coarsening systems at finite temperature Phys. Rev. E 57 2650
    • (1998) Phys. Rev. , vol.57 , Issue.3 , pp. 2650
    • Hinrichsen, H.1    Antoni, M.2
  • 32
    • 6044240284 scopus 로고    scopus 로고
    • Persistence in q-state Potts model: A mean-field approach
    • Manoj G 2003 Persistence in q-state Potts model: a mean-field approach Phys. Rev. E 67 026115
    • (2003) Phys. Rev. , vol.67 , Issue.2 , pp. 026115
    • Manoj, G.1
  • 33
    • 0037269956 scopus 로고    scopus 로고
    • Persistence at the onset of spatio-temporal intermittency in coupled map lattices
    • Menon G I, Sinha S and Ray P 2003 Persistence at the onset of spatio-temporal intermittency in coupled map lattices Europhys. Lett. 61 27
    • (2003) Europhys. Lett. , vol.61 , Issue.1 , pp. 27
    • Menon, G.I.1    Sinha, S.2    Ray, P.3
  • 34
    • 3242729492 scopus 로고    scopus 로고
    • Probability distribution of persistent spins in an Ising chain
    • Das P K and Sen P 2004 Probability distribution of persistent spins in an Ising chain J. Phys. A: Math. Gen. 37 7179
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.29 , pp. 7179
    • Das, P.K.1    Sen, P.2
  • 35
    • 21244491591 scopus 로고    scopus 로고
    • Persistence exponents and scaling in the two-dimensional XY model and a nematic model
    • Dutta S and Roy S K 2005 Persistence exponents and scaling in the two-dimensional XY model and a nematic model J. Phys. A: Math. Gen. 38 5859
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.26 , pp. 5859
    • Dutta, S.1    Roy, S.K.2
  • 36
    • 0000809267 scopus 로고    scopus 로고
    • Domain statistics in coarsening systems
    • Krapivsky P L and Ben-Naim E 1998 Domain statistics in coarsening systems Phys. Rev. E 56 3788
    • (1998) Phys. Rev. , vol.56 , Issue.4 , pp. 3788
    • Krapivsky, P.L.1    Ben-Naim, E.2
  • 37
    • 0039447736 scopus 로고    scopus 로고
    • Persistence in the Voter model: Continuum reaction-diffusion approach
    • Howard M and Godrèche C 1998 Persistence in the Voter model: continuum reaction-diffusion approach J. Phys. A: Math. Gen. 31 L209
    • (1998) J. Phys. A: Math. Gen. , vol.31 , Issue.11 , pp. 209
    • Howard, M.1    Godrèche, C.2
  • 38
    • 0002156127 scopus 로고    scopus 로고
    • Survival probability of a Gaussian non-Markovian process: Application to the T = 0 dynamics of the Ising model
    • Majumdar S and Sire C 1996 Survival probability of a Gaussian non-Markovian process: application to the T = 0 dynamics of the Ising model Phys. Rev. Lett. 77 1420
    • (1996) Phys. Rev. Lett. , vol.77 , Issue.8 , pp. 1420
    • Majumdar, S.1    Sire, C.2
  • 39
    • 0033196701 scopus 로고    scopus 로고
    • Statistics of persistent events in the binomial random walk: Will the drunken sailor hit the sober man?
    • Bauer M, Godrèche C and Luck J M 1999 Statistics of persistent events in the binomial random walk: will the drunken sailor hit the sober man? J. Stat. Phys. 96 963
    • (1999) J. Stat. Phys. , vol.96 , pp. 963
    • Bauer, M.1    Godrèche, C.2    Luck, J.M.3
  • 40
    • 18544400739 scopus 로고    scopus 로고
    • Persistence exponents and the statistics of crossings and occupation times for Gaussian stationary processes
    • Ehrhardt G C M A, Majumdar S N and Bray A J 2004 Persistence exponents and the statistics of crossings and occupation times for Gaussian stationary processes Phys. Rev. E 69 016106
    • (2004) Phys. Rev. , vol.69 , Issue.1 , pp. 016106
    • Ehrhardt, G.C.M.A.1    Majumdar, S.N.2    Bray, A.J.3
  • 42
    • 0032590157 scopus 로고    scopus 로고
    • Persistence of Kardar-Parisi-Zhang interfaces
    • Kallabis H and Krug J 1999 Persistence of Kardar-Parisi-Zhang interfaces Europhys. Lett. 45 20
    • (1999) Europhys. Lett. , vol.45 , Issue.1 , pp. 20
    • Kallabis, H.1    Krug, J.2
  • 45
    • 41349098381 scopus 로고    scopus 로고
    • Mapping spatial persistent large deviations of nonequilibrium surface growth processes onto the temporal persistent large deviations of stochastic random walk processes
    • Constantin M and Das Sarma S 2004 Mapping spatial persistent large deviations of nonequilibrium surface growth processes onto the temporal persistent large deviations of stochastic random walk processes Phys. Rev. E 70 041602
    • (2004) Phys. Rev. , vol.70 , Issue.4 , pp. 041602
    • Constantin, M.1    Das Sarma, S.2
  • 46
    • 41349088785 scopus 로고    scopus 로고
    • Persistence of randomly coupled fluctuating interfaces
    • Majumdar S N and Das D 2005 Persistence of randomly coupled fluctuating interfaces Phys. Rev. E 71 036129
    • (2005) Phys. Rev. , vol.71 , Issue.3 , pp. 036129
    • Majumdar, S.N.1    Das, D.2
  • 47
    • 24644441148 scopus 로고    scopus 로고
    • Persistence of surface fluctuations in radially growing surfaces
    • Singha S B 2005 Persistence of surface fluctuations in radially growing surfaces J. Stat. Mech. P08006
    • (2005) J. Stat. Mech. , vol.2005 , Issue.8 , pp. 08006
    • Singha, S.B.1
  • 48
    • 3543081067 scopus 로고    scopus 로고
    • Survival of a diffusing particle in a transverse shear flow: A first-passage problem with continuously varying persistence exponent
    • Bray A J and Gonos P 2004 Survival of a diffusing particle in a transverse shear flow: a first-passage problem with continuously varying persistence exponent J. Phys. A: Math. Gen. 37 L361
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.30 , pp. 361
    • Bray, A.J.1    Gonos, P.2
  • 49
    • 21244441571 scopus 로고    scopus 로고
    • Survival of a diffusing particle in a transverse flow field
    • Bray A J and Gonos P 2005 Survival of a diffusing particle in a transverse flow field J. Phys. A: Math. Gen. 38 5617
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.25 , pp. 5617
    • Bray, A.J.1    Gonos, P.2
  • 50
    • 33749858840 scopus 로고    scopus 로고
    • The effect of shear on persistence in coarsening systems
    • Rapapa N P and Bray A J 2006 The effect of shear on persistence in coarsening systems Phys. Rev. E 73 046123
    • (2006) Phys. Rev. , vol.73 , Issue.4 , pp. 046123
    • Rapapa, N.P.1    Bray, A.J.2
  • 51
    • 5544267116 scopus 로고    scopus 로고
    • Persistence in Lévy-flight anomalous diffusion
    • Zanette D H 1997 Persistence in Lévy-flight anomalous diffusion Phys. Rev. E 55 6632
    • (1997) Phys. Rev. , vol.55 , Issue.6 , pp. 6632
    • Zanette, D.H.1
  • 52
    • 18344393284 scopus 로고    scopus 로고
    • Persistence in systems with algebraic interaction
    • Ispolatov I 1999 Persistence in systems with algebraic interaction Phys. Rev. E 60 R2437
    • (1999) Phys. Rev. , vol.60 , Issue.3 , pp. 2437
    • Ispolatov, I.1
  • 53
    • 0000378098 scopus 로고    scopus 로고
    • Blocking and persistence in the zero-temperature dynamics of homogeneous and disordered Ising models
    • Newman C M and Stein D L 1999 Blocking and persistence in the zero-temperature dynamics of homogeneous and disordered Ising models Phys. Rev. Lett. 82 3944
    • (1999) Phys. Rev. Lett. , vol.82 , Issue.20 , pp. 3944
    • Newman, C.M.1    Stein, D.L.2
  • 54
    • 11044232554 scopus 로고    scopus 로고
    • Local persistence and blocking in the two-dimensional Blume-Capel model
    • da Silva R and Dahmen S R 2004 Local persistence and blocking in the two-dimensional Blume-Capel model Braz. J. Phys. 34 1469
    • (2004) Braz. J. Phys. , vol.34 , pp. 1469
    • Da Silva, R.1    Dahmen, S.R.2
  • 55
    • 28744454093 scopus 로고    scopus 로고
    • Non-Markovian persistence in the diluted Ising model at criticality
    • Paul R and Schehr G 2005 Non-Markovian persistence in the diluted Ising model at criticality Europhys. Lett. 72 719
    • (2005) Europhys. Lett. , vol.72 , Issue.5 , pp. 719
    • Paul, R.1    Schehr, G.2
  • 56
    • 20344398181 scopus 로고    scopus 로고
    • Nonequilibrium critical dynamics in inhomogeneous systems
    • Pleimling M and Iglói F 2005 Nonequilibrium critical dynamics in inhomogeneous systems Phys. Rev. B 71 094424
    • (2005) Phys. Rev. , vol.71 , Issue.9 , pp. 094424
    • Pleimling, M.1    Iglói, F.2
  • 57
    • 0031558848 scopus 로고    scopus 로고
    • Spin block persistence at finite temperature
    • Cueille S and Sire C 1997 Spin block persistence at finite temperature J. Phys. A: Math. Gen. 30 L791
    • (1997) J. Phys. A: Math. Gen. , vol.30 , Issue.23 , pp. 791
    • Cueille, S.1    Sire, C.2
  • 58
    • 0032049088 scopus 로고    scopus 로고
    • Survival probability of a mobile particle in a fluctuating field
    • Majumdar S N and Cornell S J 1998 Survival probability of a mobile particle in a fluctuating field Phys. Rev. E 57 3757
    • (1998) Phys. Rev. , vol.57 , Issue.4 , pp. 3757
    • Majumdar, S.N.1    Cornell, S.J.2
  • 59
    • 0001554139 scopus 로고    scopus 로고
    • Persistence with partial survival
    • Majumdar S N and Bray A J 1998 Persistence with partial survival Phys. Rev. Lett. 81 2626
    • (1998) Phys. Rev. Lett. , vol.81 , Issue.13 , pp. 2626
    • Majumdar, S.N.1    Bray, A.J.2
  • 60
  • 62
    • 0000534818 scopus 로고    scopus 로고
    • Analytical results for random walk persistence
    • Sire C, Majumdar S and Rüdinger A 2000 Analytical results for random walk persistence Phys. Rev. E 61 1258
    • (2000) Phys. Rev. , vol.61 , Issue.2 , pp. 1258
    • Sire, C.1    Majumdar, S.2    Rüdinger, A.3
  • 63
    • 0347566149 scopus 로고    scopus 로고
    • Persistence properties of a system of coagulating and annihilating random walkers
    • Krishnamurthy S, Rajesh R and Zaboronski O 2003 Persistence properties of a system of coagulating and annihilating random walkers Phys. Rev. E 68 046103
    • (2003) Phys. Rev. , vol.68 , Issue.4 , pp. 046103
    • Krishnamurthy, S.1    Rajesh, R.2    Zaboronski, O.3
  • 65
    • 0742320752 scopus 로고    scopus 로고
    • Persistence in the zero-temperature dynamics of the random Ising ferromagnet on a Voronoi Delaunay lattice
    • Lima F W S, Costa Filho R N and Costa U M S 2004 Persistence in the zero-temperature dynamics of the random Ising ferromagnet on a Voronoi Delaunay lattice J. Magn. Magn. Mater. 270 182
    • (2004) J. Magn. Magn. Mater. , vol.270 , Issue.1-2 , pp. 182
    • Lima, F.W.S.1    Costa Filho, R.N.2    Costa, U.M.S.3
  • 66
    • 14544270949 scopus 로고    scopus 로고
    • Persistence in systems with conserved order parameter
    • Gonos P and Bray A J 2005 Persistence in systems with conserved order parameter J. Phys. A: Math. Gen. 38 1427
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.7 , pp. 1427
    • Gonos, P.1    Bray, A.J.2
  • 67
    • 27644524825 scopus 로고    scopus 로고
    • Zero temperature dynamics of Ising model on a densely connected small world network
    • Das P K and Sen P 2005 Zero temperature dynamics of Ising model on a densely connected small world network Eur. Phys. J. C 47 391
    • Eur. Phys. J. , vol.47
    • Das, P.K.1    Sen, P.2
  • 68
    • 19844381887 scopus 로고    scopus 로고
    • Voter dynamics on an Ising ladder: Coarsening and persistence
    • Shukla P 2005 Voter dynamics on an Ising ladder: coarsening and persistence J. Phys. A: Math. Gen. 38 5441
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.24 , pp. 5441
    • Shukla, P.1
  • 69
    • 0003033253 scopus 로고    scopus 로고
    • Experimental measurement of the persistence exponent of the planar Ising model
    • Yurke B, Pargellis A N, Majumdar S N and Sire C 1997 Experimental measurement of the persistence exponent of the planar Ising model Phys. Rev. E 56 R4
    • (1997) Phys. Rev. , vol.56 , Issue.1 , pp. 40
    • Yurke, B.1    Pargellis, A.N.2    Majumdar, S.N.3    Sire, C.4
  • 70
    • 0037057181 scopus 로고    scopus 로고
    • Persistence probability in financial dynamics
    • Zheng B 2002 Persistence probability in financial dynamics Mod. Phys. Lett. B 16 775
    • (2002) Mod. Phys. Lett. , vol.16 , Issue.21 , pp. 775
    • Zheng, B.1
  • 71
    • 14844292149 scopus 로고    scopus 로고
    • Persistence probabilities of the German DAX and Shanghai index
    • Ren F, Zheng B, Lin H, Wen L Y and Trimper S 2005 Persistence probabilities of the German DAX and Shanghai index Physica A 350 439
    • (2005) Physica , vol.350 , Issue.2-4 , pp. 439
    • Ren, F.1    Zheng, B.2    Lin, H.3    Wen, L.Y.4    Trimper, S.5
  • 72
    • 28844438012 scopus 로고    scopus 로고
    • Volatility, persistence, and survival in financial markets
    • Constantin M and Das Sarma S 2005 Volatility, persistence, and survival in financial markets Phys. Rev. E 72 051106
    • (2005) Phys. Rev. , vol.72 , Issue.5 , pp. 051106
    • Constantin, M.1    Das Sarma, S.2
  • 74
    • 33748679327 scopus 로고    scopus 로고
    • Emerging collective behavior and local properties of financial dynamics in a public investment game
    • da Silva R, Bazzan A C, Baraviera A T and Dahmen S R 2006 Emerging collective behavior and local properties of financial dynamics in a public investment game Physica A 371 610
    • (2006) Physica , vol.371 , Issue.2 , pp. 610
    • Da Silva, R.1    Bazzan, A.C.2    Baraviera, A.T.3    Dahmen, S.R.4
  • 75
    • 11144315504 scopus 로고    scopus 로고
    • Persistence in extended dynamical systems
    • Ray P 2004 Persistence in extended dynamical systems Phase Transit. 77 563
    • (2004) Phase Transit. , vol.77 , Issue.5-7 , pp. 563
    • Ray, P.1
  • 77
    • 34250246792 scopus 로고
    • On the non-equilibrium phase-transition in reaction-diffusion systems with an absorbing stationary state
    • Janssen H K 1981 On the non-equilibrium phase-transition in reaction-diffusion systems with an absorbing stationary state Z. Phys. B 42 151
    • (1981) Z. Phys. , vol.42 , Issue.2 , pp. 151
    • Janssen, H.K.1
  • 78
    • 0034334818 scopus 로고    scopus 로고
    • Non-equilibrium critical phenomena and phase transitions into absorbing states
    • Hinrichsen H 2000 Non-equilibrium critical phenomena and phase transitions into absorbing states Adv. Phys. 49 815
    • (2000) Adv. Phys. , vol.49 , Issue.7 , pp. 815
    • Hinrichsen, H.1
  • 79
    • 4243519708 scopus 로고    scopus 로고
    • Numerical study of persistence in models with absorbing states
    • Albano E V and Muñoz M A 2001 Numerical study of persistence in models with absorbing states Phys. Rev. E 63 031104
    • (2001) Phys. Rev. , vol.63 , Issue.3 , pp. 031104
    • Albano, E.V.1    Muñoz, M.A.2
  • 80
    • 7244229813 scopus 로고    scopus 로고
    • Universality classes in nonequilibrium lattice systems
    • Ódor G 2004 Universality classes in nonequilibrium lattice systems Rev. Mod. Phys. 76 663
    • (2004) Rev. Mod. Phys. , vol.76 , Issue.3 , pp. 663
    • Ódor, G.1
  • 81
    • 14844354256 scopus 로고    scopus 로고
    • 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 , pp. 3977
    • Lübeck, S.1
  • 82
    • 0001975070 scopus 로고
    • Phase transitions of cellular automata
    • Kinzel W 1985 Phase transitions of cellular automata Z. Phys. B 58 229
    • (1985) Z. Phys. , vol.58 , Issue.3 , pp. 229
    • Kinzel, W.1
  • 83
    • 0000709386 scopus 로고
    • Equivalence of cellular automata to Ising models and directed percolation
    • Domany E and Kinzel W 1984 Equivalence of cellular automata to Ising models and directed percolation Phys. Rev. Lett. 53 311
    • (1984) Phys. Rev. Lett. , vol.53 , Issue.4 , pp. 311
    • Domany, E.1    Kinzel, W.2
  • 84
    • 43049096588 scopus 로고
    • Interacting particle systems
    • Liggett T M 1983 Interacting particle systems Percolation Structures and Processes (Annals of the Israel Physical Society vol 5) ed G Deutscher, R Zallen and J Adler (Bristol: Hilger)
    • (1983) Percolation Structures and Processes
    • Liggett, T.M.1
  • 87
    • 0012582012 scopus 로고
    • Reggeon field theory (Schlögl's first model) on a lattice; Monte Carlo calculations of critical behaviour
    • Grassberger P and de la Torre A 1979 Reggeon field theory (Schlögl's first model) on a lattice; Monte Carlo calculations of critical behaviour Ann. Phys., NY 122 373
    • (1979) Ann. Phys., NY , vol.122 , Issue.2 , pp. 373
    • Grassberger, P.1    De La Torre, A.2
  • 88
    • 0000743646 scopus 로고    scopus 로고
    • Coarsening and persistence in the voter model
    • Ben-Naim E, Frachebourg L and Krapivsky P L 1996 Coarsening and persistence in the voter model Phys. Rev. E 53 3078
    • (1996) Phys. Rev. , vol.53 , Issue.4 , pp. 3078
    • Ben-Naim, E.1    Frachebourg, L.2    Krapivsky, P.L.3
  • 89
    • 4244136228 scopus 로고
    • Field theoretic formulation of an epidemic process with immunisation
    • Cardy J L 1983 Field theoretic formulation of an epidemic process with immunisation J. Phys. A: Math. Gen. 16 L709
    • (1983) J. Phys. A: Math. Gen. , vol.16 , Issue.18 , pp. 709
    • Cardy, J.L.1
  • 91
    • 0000940180 scopus 로고
    • Renormalized field theory of dynamical percolation
    • Janssen H K 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
  • 92
    • 9944254870 scopus 로고    scopus 로고
    • Epidemic spreading with immunization and mutations
    • Dammer S M and Hinrichsen H 2003 Epidemic spreading with immunization and mutations Phys. Rev. E 68 016114
    • (2003) Phys. Rev. , vol.68 , Issue.1 , pp. 016114
    • Dammer, S.M.1    Hinrichsen, H.2
  • 93
    • 0242663635 scopus 로고    scopus 로고
    • Epidemic processes with immunization
    • Jimenez-Dalmaroni A and Hinrichsen H 2003 Epidemic processes with immunization Phys. Rev. E 68 036103
    • (2003) Phys. Rev. , vol.68 , Issue.3 , pp. 036103
    • Jimenez-Dalmaroni, A.1    Hinrichsen, H.2
  • 94
    • 79960553446 scopus 로고    scopus 로고
    • Spreading with immunization in high dimensions
    • Dammer S M and Hinrichsen H 2004 Spreading with immunization in high dimensions J. Stat. Mech. P07011
    • (2004) J. Stat. Mech. , vol.2004 , Issue.7 , pp. 07011
    • Dammer, S.M.1    Hinrichsen, H.2
  • 95
    • 4244069611 scopus 로고    scopus 로고
    • Spatial persistence of fluctuating interfaces
    • Majumdar S N and Bray A J 2001 Spatial persistence of fluctuating interfaces Phys. Rev. Lett. 86 3700
    • (2001) Phys. Rev. Lett. , vol.86 , Issue.17 , pp. 3700
    • Majumdar, S.N.1    Bray, A.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.