-
1
-
-
0003610874
-
-
Taylor & Francis, Philadelphia, DA
-
D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd edition (Taylor & Francis, Philadelphia, DA, 1994).
-
(1994)
Introduction to Percolation Theory, 2nd Edition
-
-
Stauffer, D.1
Aharony, A.2
-
3
-
-
0040937820
-
-
eds. C. Domb and M. S. Green (Academic, New York)
-
J. W. Essam, Phase Transitions and Critical Phenomena, Vol. 2, eds. C. Domb and M. S. Green (Academic, New York, 1972), p. 218.
-
(1972)
Phase Transitions and Critical Phenomena
, vol.2
, pp. 218
-
-
Essam, J.W.1
-
6
-
-
0001155449
-
-
J. Hoshen and R. Kopelman, Phys. Rev. B 14, 3438 (1976); H. Nakanishi and H. E. Stanley, ibid. 22, 2466 (1980); A. Margolina, H. Nakanishi, D. Stauffer, and H. E. Stanley, J. Phys. A 17, 1683 (1984); D. C. Rapaport, J. Stat. Phys. 66, 679 (1992); H. Gould and J. Tobochnik, An Introduction to Computer Simulation Methods (Addison-Wesley, Reading, MA, 1988), Part 2, pp. 397-443; pp. 637-645.
-
(1976)
Phys. Rev. B
, vol.14
, pp. 3438
-
-
Hoshen, J.1
Kopelman, R.2
-
7
-
-
5244310847
-
-
J. Hoshen and R. Kopelman, Phys. Rev. B 14, 3438 (1976); H. Nakanishi and H. E. Stanley, ibid. 22, 2466 (1980); A. Margolina, H. Nakanishi, D. Stauffer, and H. E. Stanley, J. Phys. A 17, 1683 (1984); D. C. Rapaport, J. Stat. Phys. 66, 679 (1992); H. Gould and J. Tobochnik, An Introduction to Computer Simulation Methods (Addison-Wesley, Reading, MA, 1988), Part 2, pp. 397-443; pp. 637-645.
-
(1980)
Phys. Rev. B
, vol.22
, pp. 2466
-
-
Nakanishi, H.1
Stanley, H.E.2
-
8
-
-
0001015739
-
-
J. Hoshen and R. Kopelman, Phys. Rev. B 14, 3438 (1976); H. Nakanishi and H. E. Stanley, ibid. 22, 2466 (1980); A. Margolina, H. Nakanishi, D. Stauffer, and H. E. Stanley, J. Phys. A 17, 1683 (1984); D. C. Rapaport, J. Stat. Phys. 66, 679 (1992); H. Gould and J. Tobochnik, An Introduction to Computer Simulation Methods (Addison-Wesley, Reading, MA, 1988), Part 2, pp. 397-443; pp. 637-645.
-
(1984)
J. Phys. A
, vol.17
, pp. 1683
-
-
Margolina, A.1
Nakanishi, H.2
Stauffer, D.3
Stanley, H.E.4
-
9
-
-
0001068514
-
-
J. Hoshen and R. Kopelman, Phys. Rev. B 14, 3438 (1976); H. Nakanishi and H. E. Stanley, ibid. 22, 2466 (1980); A. Margolina, H. Nakanishi, D. Stauffer, and H. E. Stanley, J. Phys. A 17, 1683 (1984); D. C. Rapaport, J. Stat. Phys. 66, 679 (1992); H. Gould and J. Tobochnik, An Introduction to Computer Simulation Methods (Addison-Wesley, Reading, MA, 1988), Part 2, pp. 397-443; pp. 637-645.
-
(1992)
J. Stat. Phys.
, vol.66
, pp. 679
-
-
Rapaport, D.C.1
-
10
-
-
0001155449
-
-
Addison-Wesley, Reading, MA
-
J. Hoshen and R. Kopelman, Phys. Rev. B 14, 3438 (1976); H. Nakanishi and H. E. Stanley, ibid. 22, 2466 (1980); A. Margolina, H. Nakanishi, D. Stauffer, and H. E. Stanley, J. Phys. A 17, 1683 (1984); D. C. Rapaport, J. Stat. Phys. 66, 679 (1992); H. Gould and J. Tobochnik, An Introduction to Computer Simulation Methods (Addison-Wesley, Reading, MA, 1988), Part 2, pp. 397-443; pp. 637-645.
-
(1988)
An Introduction to Computer Simulation Methods
, Issue.PART 2
, pp. 397-443
-
-
Gould, H.1
Tobochnik, J.2
-
12
-
-
21844522596
-
-
M. D. Rintoul and H. Nakanishi, J. Phys. A 27, 5445 (1994); ibid. 25, L945 (1994).
-
(1994)
J. Phys. A
, vol.25
-
-
-
13
-
-
0001507141
-
-
H. J. Herrmann, D. C. Hong, and H. E. Stanley, J. Phys. A 17, L261 (1984); H. J. Herrmann and H. E. Stanley, ibid. 21, L829 (1988); S. Roux and A. Hansen, ibid. 20, L1281 (1987); J. M. Normand, H. J. Herrmann, and M. Hajjar, J. Stat. Phys. 52, 441 (1988); M. Porto, A. Bunde, S. Havlin, and H. E. Roman, Phys. Rev. E 56, 1667 (1997).
-
(1984)
J. Phys. A
, vol.17
-
-
Herrmann, H.J.1
Hong, D.C.2
Stanley, H.E.3
-
14
-
-
0001374917
-
-
H. J. Herrmann, D. C. Hong, and H. E. Stanley, J. Phys. A 17, L261 (1984); H. J. Herrmann and H. E. Stanley, ibid. 21, L829 (1988); S. Roux and A. Hansen, ibid. 20, L1281 (1987); J. M. Normand, H. J. Herrmann, and M. Hajjar, J. Stat. Phys. 52, 441 (1988); M. Porto, A. Bunde, S. Havlin, and H. E. Roman, Phys. Rev. E 56, 1667 (1997).
-
(1988)
J. Phys. A
, vol.21
-
-
Herrmann, H.J.1
Stanley, H.E.2
-
15
-
-
0343384504
-
-
H. J. Herrmann, D. C. Hong, and H. E. Stanley, J. Phys. A 17, L261 (1984); H. J. Herrmann and H. E. Stanley, ibid. 21, L829 (1988); S. Roux and A. Hansen, ibid. 20, L1281 (1987); J. M. Normand, H. J. Herrmann, and M. Hajjar, J. Stat. Phys. 52, 441 (1988); M. Porto, A. Bunde, S. Havlin, and H. E. Roman, Phys. Rev. E 56, 1667 (1997).
-
(1987)
J. Phys. A
, vol.20
-
-
Roux, S.1
Hansen, A.2
-
16
-
-
0001090978
-
-
H. J. Herrmann, D. C. Hong, and H. E. Stanley, J. Phys. A 17, L261 (1984); H. J. Herrmann and H. E. Stanley, ibid. 21, L829 (1988); S. Roux and A. Hansen, ibid. 20, L1281 (1987); J. M. Normand, H. J. Herrmann, and M. Hajjar, J. Stat. Phys. 52, 441 (1988); M. Porto, A. Bunde, S. Havlin, and H. E. Roman, Phys. Rev. E 56, 1667 (1997).
-
(1988)
J. Stat. Phys.
, vol.52
, pp. 441
-
-
Normand, J.M.1
Herrmann, H.J.2
Hajjar, M.3
-
17
-
-
0000509982
-
-
H. J. Herrmann, D. C. Hong, and H. E. Stanley, J. Phys. A 17, L261 (1984); H. J. Herrmann and H. E. Stanley, ibid. 21, L829 (1988); S. Roux and A. Hansen, ibid. 20, L1281 (1987); J. M. Normand, H. J. Herrmann, and M. Hajjar, J. Stat. Phys. 52, 441 (1988); M. Porto, A. Bunde, S. Havlin, and H. E. Roman, Phys. Rev. E 56, 1667 (1997).
-
(1997)
Phys. Rev. E
, vol.56
, pp. 1667
-
-
Porto, M.1
Bunde, A.2
Havlin, S.3
Roman, H.E.4
-
18
-
-
0001790593
-
-
R. Tarjan, SIAM J. Comput. 1, 146 (1972); A. V. Aho, J. E. Hopcroft, and J. D. Ullman, The Design and Analysis of Computer Algorithms (Addison-Wesley, Reading, MA, 1974), pp. 176-187.
-
(1972)
SIAM J. Comput.
, vol.1
, pp. 146
-
-
Tarjan, R.1
-
19
-
-
0003415652
-
-
Addison-Wesley, Reading, MA
-
R. Tarjan, SIAM J. Comput. 1, 146 (1972); A. V. Aho, J. E. Hopcroft, and J. D. Ullman, The Design and Analysis of Computer Algorithms (Addison-Wesley, Reading, MA, 1974), pp. 176-187.
-
(1974)
The Design and Analysis of Computer Algorithms
, pp. 176-187
-
-
Aho, A.V.1
Hopcroft, J.E.2
Ullman, J.D.3
-
24
-
-
24444441237
-
-
C. J. Lobb and D. J. Frank, Phys. Rev. B 30, 4090 (1984); ibid. 37, 302 (1988).
-
(1988)
Phys. Rev. B
, vol.37
, pp. 302
-
-
-
27
-
-
4243875650
-
-
R. G. Edwards, J. Goodman, and A. D. Sokal, Phys. Rev. Lett. 61, 1333 (1988); J. Ruge and K. Stuben, Multigrid Methods, ed. S. F. McCormick (SIAM, Philadelphia, 1987).
-
(1988)
Phys. Rev. Lett.
, vol.61
, pp. 1333
-
-
Edwards, R.G.1
Goodman, J.2
Sokal, A.D.3
-
28
-
-
4243875650
-
-
ed. S. F. McCormick (SIAM, Philadelphia)
-
R. G. Edwards, J. Goodman, and A. D. Sokal, Phys. Rev. Lett. 61, 1333 (1988); J. Ruge and K. Stuben, Multigrid Methods, ed. S. F. McCormick (SIAM, Philadelphia, 1987).
-
(1987)
Multigrid Methods
-
-
Ruge, J.1
Stuben, K.2
-
32
-
-
0001302057
-
-
J. T. Chayes and L. Chayes, Phys. Rev. Lett. 56, 1619 (1986); Commun. Math. Phys. 105, 133 (1986).
-
(1986)
Commun. Math. Phys.
, vol.105
, pp. 133
-
-
-
33
-
-
2442559028
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note
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Percolation, of course, can be defined for sites: each site is taken to be occupied with probability p or vacant with probability 1 - p, and a bond is open if and only if both its end sites are occupied. But in the language of graph theory bond percolation is more general because the graphs created by site percolation are induced subgraphs of the lattice.
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34
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2442456573
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note
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Since no analysis of the symmetry of the spanning cluster has been performed, the backbone defined here includes open bonds without electrical current due to symmetry.
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35
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2442506631
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note
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It is not true for d = 2 percolation with periodic lateral boundary conditions.
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36
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2442586425
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note
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Configurations are produced by randomly producing the bond status array: 1 ≡ open and 0 ≡ closed. Open bonds appear with an independent probability p.
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