An introduction to percolation theory

Advances in Physics

Volumn 20, Issue 85, 1971, Pages 325-357

  Shante, Vinod K S ^a   Kirkpatrick, Scott ^a,b  

^a UNIVERSITY OF CHICAGO   (United States)

^b IBM RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646081073     PISSN: 00018732     EISSN: 14606976     Source Type: Journal    
DOI: 10.1080/00018737100101261     Document Type: Article

References (76)

1. S. R. Broadbent and J. M. Hammersley, Proc. Camb. phil. Soc., 53, 629 (1957).
2. H. L. Frisch and J. M. Hammersley, J. Soc. indust. appl. Math., 11, 894 (1963).
3. J. M. Hammersley and J. W. Morton, J. R. statist. Soc. B, 16, 23 (1954).
4. J. M. Hammersley, Proc. Camb. phïl. Soc., 53, 642 (1957).
5. R. Kikuchi, J. chem. Phys., 53, 2713 (1970).
6. P. Erdös and A. Rényi, Publications of the Mathematical Institute of the Hungarian Academy of Sciences, Vol. 5, p. 17 (1960).
7. M. E. Fisher, J. Math. Phys., 2, 620 (1961).
8. J. M. Hammersley, J. Math. Phys., 2, 728 (1961).
9. M. E. Fisher and J. W. Essam, J. Math. Phys., 2, 609 (1961).
10. H. L. Frisch, J. M. Hammersley and D. J. A. Welsh, Phys. Rev., 126, 949 (1962).
11. M. E. Fisher, J. Math. Phys., 2, 620 (1961), § 3.
12. T. E. Harris, Proc. Camb. phil. Soc., 56, 13 (1960).
13. M. F. Sykes and J. W. Essam, Phys. Rev. Lett., 10, 3 (1963).
14. M. F. Sykeš and J. W. Essam, J. Math. Phys., 5, 1117 (1964).
15. C. Domb and M. F. Sykes, Phys. Rev., 122, 77 (1960).
16. M. F. Sykes and J. W. Essam, Phys. Rev., 133, A310 (1964).
17. J. Sak (unpublished).
18. C. Domb and M. F. Sykes, J. Math. Phys., 2, 63 (1961).
19. V. A. Vyssotsky, S. B. Gordon, H. L. Frisch and J. M. Hammersley, Phys. Rev., 123, 1566 (1961).
20. H. L. Frisch, E. Sonnenblick, V. A. Vyssotsky, and J. M. Hammersley, Phys. Rev., 124, 1021 (1961).
21. P. Dean, Proc. Camb. phïl, Soc., 59, 397 (1963).
22. J. M. Ziman, J. Phys. C, 1, 1532 (1968).
23. N. W. Dalton, C. Domb, and M. F. Sykes, Proc.phys. Soc., 83, 496 (1964).
24. C. Domb and N. W. Dalton, Proc. phys. Soc., 89, 856 (1966).
25. H. Scher and R. Zallen, J. chem. Phys., 53, 3759 (1970).
26. S. Chandrasekhar, Rev. mod. Phys., 15, 1 (1943), Appendix III (reprinted in N. Wax, Ed., Selected Papers on Noise and Stoichastic Processes (New York: Dover) (1954).
27. B. I. Half Erin (private communication).
28. M. E. Fisher, Rep. Prog. Phys., 30, 615 (1967).
29. L. P. Kadanoff et al., Rev. mod. Phys., 38, 395 (1967).
30. W. G. Rudd and H. L. Frisch, Phys. Rev. B, 2, 162 (1970).
31. F. T. Wall and L. A. Hiller, A. Rev. phys. Ghem., 5, 267 (1954).
32. C. Domb, Adv. chem. Phys., 15, 229 (1969).
33. C. Domb, J. Phys. C, 3, 256 (1970); Adv. Phys., 19, 339 (1970).
34. F. T. Wall, L. A. Hiller, Jr., and D. J. Wheeler, J. chem. Phys., 22, 1036 (1954).
35. F. T. Wall, L. A. Hiller, Jr., and W. F. Atchison, J. chem. Phys., 26, 1742 (1957).
36. P. J. Gans, J. chem. Phys., 42, 4159 (1965).
37. J. L. Martin, Proc. Camb. phil. Soc., 58, 92 (1962).
38. M. F. Sykes, J. Math. Phys., 2, 52 (1961).
39. M. E. Fisher and M. F. Sykes, Phys. Rev., 114, 45 (1959).
40. J. L. Martin, M. F. Sykes and F. T. Hioe, J. chem. Phys., 46, 3478 (1967).
41. J. W. Essam and M. F. Sykes, Physica, 29, 378 (1963).
42. M. F. Sykes, J. chem. Phys., 39, 410 (1963).
43. C. Domb and F. T. Hioe, J. chem. Phys., 51, 1915, 1920 (1969).
44. J. Mazur and F. McCrackin, J. chem. Phys., 49, 648 (1968).
45. C. Domb and F. T. Hioe, J. Phys. C, 3, 2223 (1970).
46. J. M. Hammersley, Proc. Camb. phil. Soc., 57, 516 (1961).
47. J. M. Hammersley, Q. Jl Math., Oxford Ser. 2, 13, 108 (1961).
48. H. Kesten, J. Math. Phys., 4, 960 (1963); 5, 1128 (1964).
49. J. M. Hammersley, Phys. Rev., 118, 656 (1959).
50. A. J. Guttmann, B. W. Ninham, and C. J. Thompson, Physics Lett. A, 26, 180 (1968).
51. F. T. Wall and J. J. Erpenbeck, J. chem. Phys., 30, 634, 637 (1958).
52. S. C. Whittington and J. P. Valleau, J. chem. Phys., 50, 4686 (1969).
53. C. Domb, J. Gillis and G. Wilmers, Proc. phys. Soc., 85, 625 (1965); 86, 426(1965).
54. J. Mazur, J. chem. Phys., 43, 4359 (1965); J. Res. natn. Bur. Stand. A, 355 (1965).
55. B. Hopewell and T. J. Coutts, Thin Solid Films, 6, R15 (1970).
56. D. F. Holcomb and J. J. Rehr, Jr., Phys. Rev., 183, 773 (1969).
57. P. W. Anderson, Phys. Rev., 109, 1492 (1958).
58. N. F. Mott, Adv. Phys., 16, 49 (1967).
59. D. J. Thouless, J. Phys. C, 3, 1559 (1970).
60. E. N. Economou and M. H. Cohen, Phys. Rev. Lett., 25, 1445 (1970).
61. S. F. Edwards, J. Phys. C, 3, L30 (1970).
62. E. N. Economou, M. H. Cohen, K. F. Freed and S. Kirkpatrick, Amorphous and Liquid Semiconductors, J. Tauc, Ed. (New York: Plenum Press) (1971).
63. T. Lukes, to be published.
64. E. N. Economou, S. Kirkpatrick, M. H. Cohen and T. P. Eggarter, Phys. Rev. Lett., 25, 520 (1970).
65. S. Kirkpatrick, E. N. Economou, M. H. Cohen, and C. Papatrianti- fillou, to be published.
66. J. M. Ziman, J. Phys. C, 1, 1532 (1968).
67. T. P. Eggarter and M. H. Cohen, Phys. Rev. Lett., 25, 807 (1970).
68. A. Miller and E. Abrahams, Phys. Rev., 120, 745 (1960).
69. V. Ambegaokar, B. I. Halperin and J. S. Langer, Proceedings of the Fourth Conference on Amorphous and Liquid Semiconductors, J. Noncrystalline Solids (to appear), and Phys. Rev. (to be published).
70. M. Pollak, Proceedings of the Fourth Conference on Amorphous and Liquid Semiconductors, J. Non-crystalline Solids (to appear).
71. S. Kaijffman, Mathematics and the Life Sciences (New York: American Mathematical Society) (1971), and references contained therein.
72. S. Kirkpatrick (unpublished).
73. S. Katjffman (private communication).
74. R. Brout, Physica, 50, 149 (1970). Proceedings of the I.U.P.A.P. Conference on Statistical Mechanics (1971), (to be published).
75. W. F. Brinkman and T. M. Rice, Phys. Rev., B, 2, 1324 (1970).
76. R. Zallen and H. Scher, Phys. Rev., (to appear).