Anisotropic generalization of Stinchcombe's solution for the conductivity of random resistor networks on a Bethe lattice

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 46, 2009, Pages

  Semeriyanov, F ^a   Saphiannikova, M ^a   Heinrich, G ^a  

^a LEIBNIZ INSTITUTE OF POLYMER RESEARCH DRESDEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 72449125359     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/46/465001     Document Type: Article

References (41)

1. Broadbent S R and Hammersley J M 1957 Proc. Camb. Phil. Soc. 53 629
2. Kirkpatrick T R 1973 Rev. Mod. Phys. 45 574
3. Borcea L and Papanicolau G C 1998 SIAM J. Appl. Math. 58 501
4. Xu C, Hui P M and Li Z Y 2001 J. Appl. Phys. 90 365
5. Acharyya M and Chakrabarti B K 1995 J. Phys. France I 5 153
6. Turban L 1979 J. Phys. C: Solid State Phys. 12 1479
7. Blanc R, Mitescu C D and Thevenot G 1980 J. Phys. France 41 387
8. Friedman S P and Seaton N A 1998 Transp. Por. Med. 30 241
9. Redner S and Stanley H E 1979 J. Phys. A: Math. Gen. 12 1267
10. Nakanishi H, Reynolds P J and Redner S 1981 J. Phys. A: Math. Gen. 14 855
11. Gavrilenko P and Gueguen Y 1989 Terra Nova 1 63
12. Balberg I and Binenbaum N 1983 Phys. Rev. B 28 3799
13. Bernasconi J 1974 Phys. Rev. B 9 4575
14. Straley J P 1977 J. Phys. C: Solid State Phys. 10 3009
15. Bahr K 1997 Geophys. J. Int. 130 649
16. Bahr K and Simpson F 2002 Science 295 1270
17. Turcotte D L and Newman W I 1996 Proc. Natl Acad. Sci. USA 93 14295
18. Stinchcombe R B 1974 J. Phys. C: Solid State Phys. 7 179
19. Straley J P 1980 J. Phys. C: Solid State Phys. 13 4335
20. de Gennes P G 1976 J. Phys. Lett. France 37 L1
21. Sahimi M, Heiba A A, Hughes B D, Scriven L E and Davis H T 1982 SPE Reservoir Eng. 10969 1
22. Heiba A A, Sahimi M, Scriven L E and Davis H J 1982 SPE Reservoir Eng. 11015 123
23. Sahimi M 1993 Rev. Mod. Phys. 65 1393
24. Sahimi M 2003 Heterogeneous Materials I: Linear Transport and Optical Properties (Berlin: Springer)
25. Gujrati P D and Bowman D 1999 J. Chem. Phys. 111 8151
26. Stauffer D and Aharony A 2003 Introduction to Percolation Theory 2nd edn (London: Taylor and Francis)
27. Skal A S and Shklovskii B I 1975 Sov. Phys.-Semicond. 8 1029
28. de Gennes P G 1976 La Recherte 7 919
29. Sarychev A K and Vinogradov A P 1983 J. Phys. C: Solid State Phys. 16 L1073
30. Carmona F and Amarti A El 1987 Phys. Rev. B 35 3284
31. Gujrati P D 1995 Phys. Rev. Lett. 74 1367
32. Stauffer D 1979 Phys. Rep. 54 1
33. Renshaw C E 1999 Computationally efficient models for the growth of large fracture systems Fracture of Rock ed M H Aliabadi (Southampton: WIT)
34. Sahimi M 1994 Applications of Percolation Theory (London: Taylor and Francis) chapters 5 12 and references therein
35. Toker D, Azulay D, Shimoni N, Balberg I and Millo O 2003 Phys. Rev. B 68 041403
36. Clerc J P, Podolsky V A and Sarychev A K 2000 Eur. Phys. J. B 15 507
37. Burda Z, Correlia J D and Krzywicki A 2001 Phys. Rev. E 64 046118
38. Bollobs B 1981 Discrete Math. 33 1
39. Hughes B D 1996 Random Walks and Random Environments vol 2 (Oxford: Clarendon)
40. de Bruijin N G 1958 Asymptotic Methods in Analysis (Amsterdam: North Holland)
41. Bender C M and Orszag S A 1978 Advanced Mathematical Methods for Scientists and Engineers (New York: McGraw-Hill)