-
1
-
-
0004144497
-
-
Taylor and Francis, London
-
M. Sahimi, Applications of Percolation Theory (Taylor and Francis, London, 1994); D. Stauffer and A. Aharony, Introduction to Percolation Theory, (Taylor and Francis, London, 1994), revised 2nd ed.
-
(1994)
Applications of Percolation Theory
-
-
Sahimi, M.1
-
2
-
-
0003610874
-
-
Taylor and Francis, London, revised 2nd ed.
-
M. Sahimi, Applications of Percolation Theory (Taylor and Francis, London, 1994); D. Stauffer and A. Aharony, Introduction to Percolation Theory, (Taylor and Francis, London, 1994), revised 2nd ed.
-
(1994)
Introduction to Percolation Theory
-
-
Stauffer, D.1
Aharony, A.2
-
4
-
-
0000111481
-
-
R. M. Ziff, S. R. Finch, and V. S. Adamchik, Phys. Rev. Lett. 79, 3447 (1997); P. Kleban and R. M. Ziff, Phys. Rev. B 57, R8075 (1998).
-
(1997)
Phys. Rev. Lett.
, vol.79
, pp. 3447
-
-
Ziff, R.M.1
Finch, S.R.2
Adamchik, V.S.3
-
5
-
-
0001029172
-
-
R. M. Ziff, S. R. Finch, and V. S. Adamchik, Phys. Rev. Lett. 79, 3447 (1997); P. Kleban and R. M. Ziff, Phys. Rev. B 57, R8075 (1998).
-
(1998)
Phys. Rev. B
, vol.57
-
-
Kleban, P.1
Ziff, R.M.2
-
6
-
-
4243089367
-
-
C.-K. Hu, C.-Y. Lin, and J.-A. Chen, Phys. Rev. Lett. 75, 193 (1995); 75, 2786(E) (1995); Physica A (Amsterdam) 221, 80 (1995); C.-K. Hu and C.-Y. Lin, Phys. Rev. Lett. 77, 8 (1996); C.-K. Hu and F.-G. Wang, J. Korean Phys. Soc. 31, S271 (1997); H. P. Hsu, S.C. Lin, and C.-K. Hu, Phys. Rev. E 64, 016127 (2001).
-
(1995)
Phys. Rev. Lett.
, vol.75
, pp. 193
-
-
Hu, C.-K.1
Lin, C.-Y.2
Chen, J.-A.3
-
7
-
-
26144464301
-
-
C.-K. Hu, C.-Y. Lin, and J.-A. Chen, Phys. Rev. Lett. 75, 193 (1995); 75, 2786(E) (1995); Physica A (Amsterdam) 221, 80 (1995); C.-K. Hu and C.-Y. Lin, Phys. Rev. Lett. 77, 8 (1996); C.-K. Hu and F.-G. Wang, J. Korean Phys. Soc. 31, S271 (1997); H. P. Hsu, S.C. Lin, and C.-K. Hu, Phys. Rev. E 64, 016127 (2001).
-
(1995)
Phys. Rev. Lett.
, vol.75
-
-
-
8
-
-
4243089367
-
-
C.-K. Hu, C.-Y. Lin, and J.-A. Chen, Phys. Rev. Lett. 75, 193 (1995); 75, 2786(E) (1995); Physica A (Amsterdam) 221, 80 (1995); C.-K. Hu and C.-Y. Lin, Phys. Rev. Lett. 77, 8 (1996); C.-K. Hu and F.-G. Wang, J. Korean Phys. Soc. 31, S271 (1997); H. P. Hsu, S.C. Lin, and C.-K. Hu, Phys. Rev. E 64, 016127 (2001).
-
(1995)
Physica A (Amsterdam)
, vol.221
, pp. 80
-
-
-
9
-
-
0002790841
-
-
C.-K. Hu, C.-Y. Lin, and J.-A. Chen, Phys. Rev. Lett. 75, 193 (1995); 75, 2786(E) (1995); Physica A (Amsterdam) 221, 80 (1995); C.-K. Hu and C.-Y. Lin, Phys. Rev. Lett. 77, 8 (1996); C.-K. Hu and F.-G. Wang, J. Korean Phys. Soc. 31, S271 (1997); H. P. Hsu, S.C. Lin, and C.-K. Hu, Phys. Rev. E 64, 016127 (2001).
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 8
-
-
Hu, C.-K.1
Lin, C.-Y.2
-
10
-
-
0031478063
-
-
C.-K. Hu, C.-Y. Lin, and J.-A. Chen, Phys. Rev. Lett. 75, 193 (1995); 75, 2786(E) (1995); Physica A (Amsterdam) 221, 80 (1995); C.-K. Hu and C.-Y. Lin, Phys. Rev. Lett. 77, 8 (1996); C.-K. Hu and F.-G. Wang, J. Korean Phys. Soc. 31, S271 (1997); H. P. Hsu, S.C. Lin, and C.-K. Hu, Phys. Rev. E 64, 016127 (2001).
-
(1997)
J. Korean Phys. Soc.
, vol.31
-
-
Hu, C.-K.1
Wang, F.-G.2
-
11
-
-
0035394983
-
-
C.-K. Hu, C.-Y. Lin, and J.-A. Chen, Phys. Rev. Lett. 75, 193 (1995); 75, 2786(E) (1995); Physica A (Amsterdam) 221, 80 (1995); C.-K. Hu and C.-Y. Lin, Phys. Rev. Lett. 77, 8 (1996); C.-K. Hu and F.-G. Wang, J. Korean Phys. Soc. 31, S271 (1997); H. P. Hsu, S.C. Lin, and C.-K. Hu, Phys. Rev. E 64, 016127 (2001).
-
(2001)
Phys. Rev. E
, vol.64
, pp. 016127
-
-
Hsu, H.P.1
Lin, S.C.2
Hu, C.-K.3
-
13
-
-
0004570271
-
-
C.-K. Hu and B. I. Halperin, Phys. Rev. B 55, 2705 (1997); N. R. Cooper et al., ibid.55, 4551 (1997); C.-Y. Lin and C.-K. Hu, Phys. Rev. E 58, 1521 (1998).
-
(1997)
Phys. Rev. B
, vol.55
, pp. 2705
-
-
Hu, C.-K.1
Halperin, B.I.2
-
14
-
-
0000682710
-
-
C.-K. Hu and B. I. Halperin, Phys. Rev. B 55, 2705 (1997); N. R. Cooper et al., ibid.55, 4551 (1997); C.-Y. Lin and C.-K. Hu, Phys. Rev. E 58, 1521 (1998).
-
(1997)
Phys. Rev. B
, vol.55
, pp. 4551
-
-
Cooper, N.R.1
-
15
-
-
0001569135
-
-
C.-K. Hu and B. I. Halperin, Phys. Rev. B 55, 2705 (1997); N. R. Cooper et al., ibid.55, 4551 (1997); C.-Y. Lin and C.-K. Hu, Phys. Rev. E 58, 1521 (1998).
-
(1998)
Phys. Rev. E
, vol.58
, pp. 1521
-
-
Lin, C.-Y.1
Hu, C.-K.2
-
17
-
-
4243665684
-
-
C.-K. Hu, Phys. Rev. Lett. 69, 2739 (1992); Phys. Rev. B 46, 6592 (1992).
-
(1992)
Phys. Rev. Lett.
, vol.69
, pp. 2739
-
-
Hu, C.-K.1
-
18
-
-
10344237767
-
-
C.-K. Hu, Phys. Rev. Lett. 69, 2739 (1992); Phys. Rev. B 46, 6592 (1992).
-
(1992)
Phys. Rev. B
, vol.46
, pp. 6592
-
-
-
19
-
-
10344250135
-
-
note
-
In general, A is a polynomial function of r. However, in off critical region and with a large r, the approximation that A is constant is well justified (see Fig. 5).
-
-
-
-
20
-
-
10344256928
-
-
note
-
If site X is at the top boundary, and Y and Z are at the bottom boundary of the system, then the probability Pr that the system percolates via X to Y or X to Z is Pr = C(X, Y) + C(X, Z) - C(X, Y, Z); multipoint correlations C(X, Y, Z) are ignored in Eq. (4) as Pr ∼ C(X, Y) + C(X, Z), which is justified for large systems.
-
-
-
-
23
-
-
4244050689
-
-
J.-P. Hovi and A. Aharony, Phys. Rev. Lett. 76, 3874 (1996); C.-K. Hu,ibid. 76, 3875 (1996).
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 3875
-
-
Hu, C.-K.1
-
24
-
-
85088490601
-
-
note
-
i are determined by the Legendre Polynomial expansion. Weights of higher-order (i > 2) are confirmed to be small enough comparing to those of lower order. It justifies that the mapping function f(p) is well approximated by the quadratic function.
-
-
-
-
25
-
-
0000908751
-
-
C.-K. Hu, Phys. Rev. B 29, 5103 (1984); 29, 5109 (1984); C.-K. Hu and K.-S. Mak, Phys. Rev. B 39, 2948 (1989); 42, 965 (1990).
-
(1984)
Phys. Rev. B
, vol.29
, pp. 5103
-
-
Hu, C.-K.1
-
26
-
-
4244129862
-
-
C.-K. Hu, Phys. Rev. B 29, 5103 (1984); 29, 5109 (1984); C.-K. Hu and K.-S. Mak, Phys. Rev. B 39, 2948 (1989); 42, 965 (1990).
-
(1984)
Phys. Rev. B
, vol.29
, pp. 5109
-
-
-
27
-
-
0011611518
-
-
C.-K. Hu, Phys. Rev. B 29, 5103 (1984); 29, 5109 (1984); C.-K. Hu and K.-S. Mak, Phys. Rev. B 39, 2948 (1989); 42, 965 (1990).
-
(1989)
Phys. Rev. B
, vol.39
, pp. 2948
-
-
Hu, C.-K.1
Mak, K.-S.2
-
28
-
-
6144286008
-
-
C.-K. Hu, Phys. Rev. B 29, 5103 (1984); 29, 5109 (1984); C.-K. Hu and K.-S. Mak, Phys. Rev. B 39, 2948 (1989); 42, 965 (1990).
-
(1990)
Phys. Rev. B
, vol.42
, pp. 965
-
-
-
29
-
-
0033072748
-
-
Y. Okabe et al. Phys. Rev. E 59, 1585 (1999); Y. Tomita, Y. Okabe, and C.-K. Hu,ibid. 60, 2716 (1999); C.-K. Hu, J.-A. Chen, and C.-Y. Lin, Physica A (Amsterdam) 266, 27 (1999).
-
(1999)
Phys. Rev. E
, vol.59
, pp. 1585
-
-
Okabe, Y.1
-
30
-
-
0001034801
-
-
Y. Okabe et al. Phys. Rev. E 59, 1585 (1999); Y. Tomita, Y. Okabe, and C.-K. Hu,ibid. 60, 2716 (1999); C.-K. Hu, J.-A. Chen, and C.-Y. Lin, Physica A (Amsterdam) 266, 27 (1999).
-
(1999)
Phys. Rev. E
, vol.60
, pp. 2716
-
-
Tomita, Y.1
Okabe, Y.2
Hu, C.-K.3
-
31
-
-
0345149478
-
-
Y. Okabe et al. Phys. Rev. E 59, 1585 (1999); Y. Tomita, Y. Okabe, and C.-K. Hu,ibid. 60, 2716 (1999); C.-K. Hu, J.-A. Chen, and C.-Y. Lin, Physica A (Amsterdam) 266, 27 (1999).
-
(1999)
Physica A (Amsterdam)
, vol.266
, pp. 27
-
-
Hu, C.-K.1
Chen, J.-A.2
Lin, C.-Y.3
|