-
1
-
-
0000235910
-
Systematic derivation of percolation thresholds in continuum systems
-
Alon, U., Drory, A. & Balberg, I. 1990 Systematic derivation of percolation thresholds in continuum systems. Phys. Rev. A 42, 4634-4638.
-
(1990)
Phys. Rev. A
, vol.42
, pp. 4634-4638
-
-
Alon, U.1
Drory, A.2
Balberg, I.3
-
2
-
-
45349111760
-
The physics of fractals
-
Bak, P. & Chen, K. 1989 The physics of fractals. Physica D 38, 5-12.
-
(1989)
Physica D
, vol.38
, pp. 5-12
-
-
Bak, P.1
Chen, K.2
-
4
-
-
0023601190
-
Recent developments in continuum percolation
-
Balberg, I. 1987 Recent developments in continuum percolation. Phil. Mag. B 56, 991-1003.
-
(1987)
Phil. Mag. B
, vol.56
, pp. 991-1003
-
-
Balberg, I.1
-
5
-
-
0001224783
-
Computer study of the percolation threshold in a two-dimensional anisotropic system of conducting sticks
-
Balberg, I. & Binenbaum, N. 1983 Computer study of the percolation threshold in a two-dimensional anisotropic system of conducting sticks. Phys. Rev. B 28, 3799-3812.
-
(1983)
Phys. Rev. B
, vol.28
, pp. 3799-3812
-
-
Balberg, I.1
Binenbaum, N.2
-
6
-
-
0001705128
-
Percolation thresholds in the three-dimensional stick system
-
Balberg, I. & Binenbaum, N. 1984 Percolation thresholds in the three-dimensional stick system. Phys. Rev. Lett. 52, 1465-1468.
-
(1984)
Phys. Rev. Lett.
, vol.52
, pp. 1465-1468
-
-
Balberg, I.1
Binenbaum, N.2
-
7
-
-
0033322046
-
On transport in stochastic, heterogeneous fibrous domains
-
Cheng, X. & Sastry, A. M. 1999 On transport in stochastic, heterogeneous fibrous domains. Mech. Mater. 31, 765-786.
-
(1999)
Mech. Mater.
, vol.31
, pp. 765-786
-
-
Cheng, X.1
Sastry, A.M.2
-
8
-
-
13544252102
-
Investigation of failure processes in porous battery substrates. Part II. Simulation results and comparisons
-
Cheng, X., Wang, C. W., Sastry, A. M. & Choi, S. B. 1999 Investigation of failure processes in porous battery substrates. Part II. Simulation results and comparisons. J. Engng Mater. Technol. 121, 514-523.
-
(1999)
J. Engng. Mater. Technol.
, vol.121
, pp. 514-523
-
-
Cheng, X.1
Wang, C.W.2
Sastry, A.M.3
Choi, S.B.4
-
9
-
-
0034776267
-
Transport in stochastic fibrous networks
-
Cheng, X., Sastry, A. M. & Layton, B. E. 2001 Transport in stochastic fibrous networks. J. Engng Mater. Technol. 123, 12-19.
-
(2001)
J. Engng. Mater. Technol.
, vol.123
, pp. 12-19
-
-
Cheng, X.1
Sastry, A.M.2
Layton, B.E.3
-
10
-
-
0000378745
-
Clustering and percolation in multicomponent systems of randomly centered and permeable spheres
-
Chiew, Y. C. & Stell, G. 1985 Clustering and percolation in multicomponent systems of randomly centered and permeable spheres. J. Chem. Phys. 83, 761-767.
-
(1985)
J. Chem. Phys.
, vol.83
, pp. 761-767
-
-
Chiew, Y.C.1
Stell, G.2
-
11
-
-
0000957313
-
Distribution of physical clusters
-
Coniglio, A., Deangelis, U., Forlani, A. & Lauro, G. 1977a Distribution of physical clusters. J. Phys. A 10, 219-228.
-
(1977)
J. Phys. A
, vol.10
, pp. 219-228
-
-
Coniglio, A.1
Deangelis, U.2
Forlani, A.3
Lauro, G.4
-
12
-
-
36149038999
-
Pair connectedness and cluster size
-
Coniglio, A., Deangelis, U. & Forlani, A. 1977b Pair connectedness and cluster size. J. Phys. A 10, 1123-1139.
-
(1977)
J. Phys. A
, vol.10
, pp. 1123-1139
-
-
Coniglio, A.1
Deangelis, U.2
Forlani, A.3
-
13
-
-
24844442721
-
Self-organized critical state of sandpile automaton models
-
Dhar, D. 1990 Self-organized critical state of sandpile automaton models. Phys. Rev. Lett. 64, 1613-1616.
-
(1990)
Phys. Rev. Lett.
, vol.64
, pp. 1613-1616
-
-
Dhar, D.1
-
14
-
-
0000918822
-
Inverse avalanches in the Abelian sandpile model
-
Dhar, D. & Manna, S. S. 1994 Inverse avalanches in the Abelian sandpile model. Phys. Rev. E 49, 2684-2687.
-
(1994)
Phys. Rev. E
, vol.49
, pp. 2684-2687
-
-
Dhar, D.1
Manna, S.S.2
-
15
-
-
0010122653
-
Note on series expansion method for clustering problems
-
Domb, C. 1972 Note on series expansion method for clustering problems. Biometrika 59, 209-211.
-
(1972)
Biometrika
, vol.59
, pp. 209-211
-
-
Domb, C.1
-
16
-
-
0001335794
-
Theory of continuum percolation I. General formalism
-
Drory, A. 1996 Theory of continuum percolation I. General formalism. Phys. Rev. E 54, 5992-6002.
-
(1996)
Phys. Rev. E
, vol.54
, pp. 5992-6002
-
-
Drory, A.1
-
17
-
-
4243825796
-
Exact solution of a one-dimensional continuum percolation model
-
Drory, A. 1997 Exact solution of a one-dimensional continuum percolation model. Phys. Rev. E 55, 3878-3885.
-
(1997)
Phys. Rev. E
, vol.55
, pp. 3878-3885
-
-
Drory, A.1
-
18
-
-
6144279225
-
Some cluster size and percolation problems
-
Fisher, M. E. & Essam, J. W. 1961 Some cluster size and percolation problems. J. Math. Phys. 2, 609-619.
-
(1961)
J. Math. Phys.
, vol.2
, pp. 609-619
-
-
Fisher, M.E.1
Essam, J.W.2
-
19
-
-
0041855748
-
Random-cluster model. 1. Introduction and relation to other models
-
Fortuin, C. M. & Kasteleyn, P. W. 1972 Random-cluster model. 1. Introduction and relation to other models. Physica 57, 536-564.
-
(1972)
Physica
, vol.57
, pp. 536-564
-
-
Fortuin, C.M.1
Kasteleyn, P.W.2
-
20
-
-
0040652377
-
Clustering problem - Some Monte Carlo results
-
Fremlin, D. H. 1976 Clustering problem - some Monte Carlo results. J. Phys. Paris 37, 813-817.
-
(1976)
J. Phys. Paris
, vol.37
, pp. 813-817
-
-
Fremlin, D.H.1
-
21
-
-
0000975565
-
Geometrical percolation-threshold of overlapping ellipsoids
-
Garboczi, E. J., Snyder, K. A., Douglas, J. F. & Thorpe, M. F. 1995 Geometrical percolation-threshold of overlapping ellipsoids. Phys. Rev. E 52, 819-828.
-
(1995)
Phys. Rev. E
, vol.52
, pp. 819-828
-
-
Garboczi, E.J.1
Snyder, K.A.2
Douglas, J.F.3
Thorpe, M.F.4
-
22
-
-
0001423369
-
Continuum percolation in 2 dimensions - Monte Carlo tests of scaling and universality for non-interacting disks
-
Gawlinski, E. T. & Stanley, H. E. 1981 Continuum percolation in 2 dimensions - Monte Carlo tests of scaling and universality for non-interacting disks. J. Phys. A 14, L291-L299.
-
(1981)
J. Phys. A
, vol.14
-
-
Gawlinski, E.T.1
Stanley, H.E.2
-
23
-
-
13944274289
-
Clusters of atoms coupled by long-range interactions
-
Gayda, J. P. & Ottavi, H. 1974 Clusters of atoms coupled by long-range interactions. J. Phys. Paris 35, 393-399.
-
(1974)
J. Phys. Paris
, vol.35
, pp. 393-399
-
-
Gayda, J.P.1
Ottavi, H.2
-
24
-
-
36549101861
-
Comparison of analytic and numerical results for the mean cluster density in continuum percolation
-
Given, J. A., Kim, I. C., Torquato, S. & Stell, G. 1990 Comparison of analytic and numerical results for the mean cluster density in continuum percolation. J. Chem. Phys. 93, 5128-5139.
-
(1990)
J. Chem. Phys.
, vol.93
, pp. 5128-5139
-
-
Given, J.A.1
Kim, I.C.2
Torquato, S.3
Stell, G.4
-
26
-
-
7644240947
-
Series expansions in a continuum percolation problem
-
Haan, S. W. & Zwanzig, R. 1977 Series expansions in a continuum percolation problem. J. Phys. A 10, 1547-1555.
-
(1977)
J. Phys. A
, vol.10
, pp. 1547-1555
-
-
Haan, S.W.1
Zwanzig, R.2
-
27
-
-
36849123370
-
Molecular clusters in imperfect gases
-
Hill, T. L. 1955 Molecular clusters in imperfect gases. J. Chem. Phys. 23, 617-622.
-
(1955)
J. Chem. Phys.
, vol.23
, pp. 617-622
-
-
Hill, T.L.1
-
28
-
-
0004780772
-
Clustering of randomly placed spheres
-
Holcomb, D. F., Iwasawa, M. & Roberts, F. D. K. 1972 Clustering of randomly placed spheres. Biometrika 59, 207-209.
-
(1972)
Biometrika
, vol.59
, pp. 207-209
-
-
Holcomb, D.F.1
Iwasawa, M.2
Roberts, F.D.K.3
-
29
-
-
33749560184
-
Percolation and conduction
-
Kirkpatrick, S. 1973 Percolation and conduction. Rev. Mod. Phys. 45, 574-588.
-
(1973)
Rev. Mod. Phys.
, vol.45
, pp. 574-588
-
-
Kirkpatrick, S.1
-
30
-
-
0038392522
-
Conductivity in random systems. 2. Finite-size-system percolation
-
Kurkijarvi, J. 1974 Conductivity in random systems. 2. Finite-size-system percolation. Phys. Rev. B 9, 770-774.
-
(1974)
Phys. Rev. B
, vol.9
, pp. 770-774
-
-
Kurkijarvi, J.1
-
31
-
-
21144462070
-
Universality and cluster structures in continuum models of percolation with two different radius distributions
-
Lorenz, B., Orgzall, I. & Heuer, H. O. 1993 Universality and cluster structures in continuum models of percolation with two different radius distributions. J. Phys. A 26, 4711-4722.
-
(1993)
J. Phys. A
, vol.26
, pp. 4711-4722
-
-
Lorenz, B.1
Orgzall, I.2
Heuer, H.O.3
-
32
-
-
3242707363
-
The expected number of clumps when convex laminae are placed at random and with random orientation on a plane area
-
Mack, C. 1954 The expected number of clumps when convex laminae are placed at random and with random orientation on a plane area. Proc. Camb. Phil. Soc. 50, 581-585.
-
(1954)
Proc. Camb. Phil. Soc.
, vol.50
, pp. 581-585
-
-
Mack, C.1
-
33
-
-
49649135612
-
Scaling theory and finite systems
-
Nightingale, M. P. 1975 Scaling theory and finite systems. Physica A 83, 561-572.
-
(1975)
Physica A
, vol.83
, pp. 561-572
-
-
Nightingale, M.P.1
-
34
-
-
33847801328
-
Treatment of thermodynamic nonideality in equilibrium studies on associating solutes
-
Ogston, A. G. & Winzor, D. J. 1975 Treatment of thermodynamic nonideality in equilibrium studies on associating solutes. J. Phys. Chem. 79, 2496-2500.
-
(1975)
J. Phys. Chem.
, vol.79
, pp. 2496-2500
-
-
Ogston, A.G.1
Winzor, D.J.2
-
35
-
-
13944251140
-
Percolation in a continuous two-dimensional medium
-
Ottavi, H. & Gayda, J. P. 1974 Percolation in a continuous two-dimensional medium. J. Phys. Paris 35, 631-633.
-
(1974)
J. Phys. Paris
, vol.35
, pp. 631-633
-
-
Ottavi, H.1
Gayda, J.P.2
-
36
-
-
0001012904
-
On a continuum percolation model
-
Penrose, M. D. 1991 On a continuum percolation model. Adv. Appl. Prob. 23, 536-556.
-
(1991)
Adv. Appl. Prob.
, vol.23
, pp. 536-556
-
-
Penrose, M.D.1
-
37
-
-
35949029025
-
Percolation and conductivity: A computer study
-
Pike, G. E. & Seager, C. H. 1974 Percolation and conductivity: a computer study. Phys. Rev. B 10, 1421-1434.
-
(1974)
Phys. Rev. B
, vol.10
, pp. 1421-1434
-
-
Pike, G.E.1
Seager, C.H.2
-
38
-
-
0001312215
-
Clustering properties of d-dimensional overlapping spheres
-
Quintanilla, J. & Torquato, S. 1996 Clustering properties of d-dimensional overlapping spheres. Phys. Rev. E 54, 5331-5339.
-
(1996)
Phys. Rev. E
, vol.54
, pp. 5331-5339
-
-
Quintanilla, J.1
Torquato, S.2
-
39
-
-
0012245601
-
Clustering in a continuum percolation model
-
Quintanilla, J. & Torquato, S. 1997 Clustering in a continuum percolation model. Adv. Appl. Prob. 29, 327-336.
-
(1997)
Adv. Appl. Prob.
, vol.29
, pp. 327-336
-
-
Quintanilla, J.1
Torquato, S.2
-
40
-
-
0034721635
-
Efficient measurement of the percolation threshold for fully penetrable discs
-
Quintanilla, J., Torquato, S. & Ziff, R. M. 2000 Efficient measurement of the percolation threshold for fully penetrable discs. J. Phys. A 33, 399-407.
-
(2000)
J. Phys. A
, vol.33
, pp. 399-407
-
-
Quintanilla, J.1
Torquato, S.2
Ziff, R.M.3
-
41
-
-
0039971658
-
Precise determination of the critical threshold and exponents in a three-dimensional dontinuum percolation model
-
Rintoul, M. D. & Torquato, S. 1997 Precise determination of the critical threshold and exponents in a three-dimensional dontinuum percolation model. J. Phys. A 30, L585-L592.
-
(1997)
J. Phys. A
, vol.30
-
-
Rintoul, M.D.1
Torquato, S.2
-
43
-
-
0014183081
-
A Monte Carlo solution of a two-dimensional unstructured cluster problem
-
Roberts, F. D. K. 1967 A Monte Carlo solution of a two-dimensional unstructured cluster problem. Biometrika 54, 625-628.
-
(1967)
Biometrika
, vol.54
, pp. 625-628
-
-
Roberts, F.D.K.1
-
44
-
-
24544451717
-
Concentration gradient approach to continuum percolation in two dimensions
-
Rosso, M. 1989 Concentration gradient approach to continuum percolation in two dimensions. J. Phys. A 22, L131-L136.
-
(1989)
J. Phys. A
, vol.22
-
-
Rosso, M.1
-
45
-
-
0000869478
-
Percolation in interacting colloids
-
Safran, S. A., Webman, I. & Grest, G. S. 1985 Percolation in interacting colloids. Phys. Rev. A 32, 506-511.
-
(1985)
Phys. Rev. A
, vol.32
, pp. 506-511
-
-
Safran, S.A.1
Webman, I.2
Grest, G.S.3
-
46
-
-
0032072609
-
Mechanics of stochastic fibrous networks
-
Sastry, A. M., Cheng, X. & Wang, C. W. 1998 Mechanics of stochastic fibrous networks. J. Thermoplast. Compos. Mater. 11, 288-296.
-
(1998)
J. Thermoplast. Compos. Mater.
, vol.11
, pp. 288-296
-
-
Sastry, A.M.1
Cheng, X.2
Wang, C.W.3
-
47
-
-
13944274660
-
Classical and quantum continuum percolation with hard core interactions
-
Saven, J. G., Skinner, J. L. & Wright, J. R. 1991 Classical and quantum continuum percolation with hard core interactions. J. Chem. Phys. 94, 6153-6159.
-
(1991)
J. Chem. Phys.
, vol.94
, pp. 6153-6159
-
-
Saven, J.G.1
Skinner, J.L.2
Wright, J.R.3
-
48
-
-
26844437183
-
Scaling theory of percolation clusters
-
Stauffer, D. 1979 Scaling theory of percolation clusters. Phys. Rep. 54, 1-74.
-
(1979)
Phys. Rep.
, vol.54
, pp. 1-74
-
-
Stauffer, D.1
-
49
-
-
29544441737
-
Exact critical percolation probabilities for site and bond problems in two dimensions
-
Sykes, M. F. & Essam, J. W. 1964 Exact critical percolation probabilities for site and bond problems in two dimensions. J. Math. Phys. 10, 1117-1127.
-
(1964)
J. Math. Phys.
, vol.10
, pp. 1117-1127
-
-
Sykes, M.F.1
Essam, J.W.2
-
51
-
-
0000286101
-
Two-point cluster function for continuum percolation
-
Torquato, S., Beasley, J. D. & Chiew, Y. C. 1988 Two-point cluster function for continuum percolation. J. Chem. Phys. 88, 6540-6547.
-
(1988)
J. Chem. Phys.
, vol.88
, pp. 6540-6547
-
-
Torquato, S.1
Beasley, J.D.2
Chiew, Y.C.3
-
52
-
-
33645088455
-
Phase transitions of the classical hard-ellipse system
-
Vieillard-Baron, J. 1972 Phase transitions of the classical hard-ellipse system. J. Chem. Phys. 56, 4729-4744.
-
(1972)
J. Chem. Phys.
, vol.56
, pp. 4729-4744
-
-
Vieillard-Baron, J.1
-
53
-
-
0000394858
-
Percolation properties of random ellipses
-
Xia, W. & Thorpe, M. F. 1988 Percolation properties of random ellipses. Phys. Rev. A 38, 2650-2656.
-
(1988)
Phys. Rev. A
, vol.38
, pp. 2650-2656
-
-
Xia, W.1
Thorpe, M.F.2
-
54
-
-
33646990137
-
Analytical approximation of the two-dimensional percolation threshold for fields of overlapping ellipses
-
Yi, Y. B. & Sastry, A. M. 2002 Analytical approximation of the two-dimensional percolation threshold for fields of overlapping ellipses. Phys. Rev. E 66, 1-8.
-
(2002)
Phys. Rev. E
, vol.66
, pp. 1-8
-
-
Yi, Y.B.1
Sastry, A.M.2
|