Generating function of spin correlation functions for kinetic Glauber-Ising model with time-dependent transition rates

Journal of Mathematical Physics

Volumn 50, Issue 8, 2009, Pages

  Aliev, M A ^a  

^a EMANUEL INSTITUTE OF BIOCHEMICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 69749086197     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3190489     Document Type: Article

References (44)

1. R. G. Glauber, J. Math. Phys. 4, 294 (1963).
2. D. Bedeaux, K. E. Shuler, and I. Oppenheim, J. Stat. Phys. 2, 1 (1970).
3. B. U. Felderhof, Rep. Math. Phys. 1, 215 (1971).
4. M. A. Aliev, Phys. Lett. A 241, 19 (1998).
5. P. Mayer and P. Sollich, J. Phys. A 37, 9 (2004).
6. Yu. Ya. Gotlib, Sov. Phys. Solid State 3, 1574 (1962).
7. J. E. Anderson, J. Chem. Phys. 52, 2821 (1970).
8. R. H. Lacombe, J. Macromol. Sci. Part B 18, 697 (1980).
9. J. L. Skinner, J. Chem. Phys. 79, 1955 (1983).
10. N. S. Goel, Biopolymers 6, 55 (1968).
11. D. Poland and H. Sheraga, Theory of Helix-Coil Transitions in Biopolymers (Academic, New York, 1970).
12. G. Schwarz, J. Theor. Biol. 36, 569 (1972).
13. R. H. Lacombe and R. Simha, J. Chem. Phys. 61, 1899 (1974).
14. D. J. W. Geldart, H. J. Kreuzer, and F. S. Rys, Surf. Sci. 176, 284 (1986).
15. H. J. Kreuzer and J. Zhang, Appl. Phys. A: Solids Surf. A51, 183 (1990).
16. J. W. Evans, Rev. Mod. Phys. 65, 1281 (1993).
17. N. Matsudaira, J. Phys. Soc. Jpn. 23, 232 (1967).
18. E. Stoll, K. Binder, and T. Schneider, Phys. Rev. B 8, 3266 (1973).
19. E. J. S. Lage, J. Phys. C 19, L91 (1986).
20. J. R. Leão, B. C. Grandi, and W. Figueiredo, Phys. Rev. E 60, 5367 (1999).
21. F. Tanaka, J. Phys. C 12, 5535 (1979).
22. M. Droz, J. K. L. da Silva, and A. Malaspinas, Phys. Lett. A 115, 448 (1986).
23. E. J. S. Lage, J. Phys. C 20, 3969 (1987).
24. P. Tong, Phys. Rev. E 56, 1371 (1997).
25. S. G. W. Colborne, J. Phys. C 19, 3669 (1986).
26. J. H. Luscombe, Phys. Rev. B 36, 501 (1987).
27. L. L. Goņalves, M. Lopez de Haro, and J. Taguena-Martinez, Phys. Rev. E 63, 026114 (2001).
28. L. L. Goņalves and N. T. de Oliveira, Can. J. Phys. 63, 1215 (1985).
29. J. C. Angles d'Auriac and R. Rammal, J. Phys. A 21, 763 (1988).
30. D. F. Calef, J. Stat. Phys. 32, 81 (1983).
31. M. A. Aliev, Physica A 0378-4371 277, 261 (2000). 10.1016/S0378-4371(99) 00442-2
32. J. M. Nunes da Silva and E. J. S. Lage, J. Stat. Phys. 58, 115 (1990).
33. N. T. de Oliveira, L. L. Goņalves, and F. C. Sá Barreto, Z. Phys. B 58, 319 (1985).
34. Z. Racz and R. K. P. Zia, Phys. Rev. E 49, 139 (1994).
35. M. Mobilia, B. Schmittmann, and R. K. P. Zia, Phys. Rev. E 71, 056129 (2005).
36. K. Kawasaki, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, M. S. Green, (Academic, London, 1972), Vol. 2.
37. A. Baumgärtner and K. Binder, J. Stat. Phys. 18, 423 (1978).
38. J. C. Kimball, J. Stat. Phys. 21, 289 (1979).
39. H. Reiss, Chem. Phys. 47, 15 (1980).
40. R. Schilling, J. Stat. Phys. 53, 1227 (1988).
41. J. J. Brey and A. Prados, Phys. Rev. B 49, 984 (1994).
42. F. A. Berezin, Method of Second Quantization (Academic, New York, 1966).
43. P. R. Garabedian, Partial Differential Equations (Wiley, New York, 1964).
44. G. N. Watson, Bessel Functions (Cambridge University Press, Cambridge, 1958).