Generalization of barrier crossing rate for coloured non Gaussian noise driven open systems

European Physical Journal B

Volumn 68, Issue 2, 2009, Pages 253-259

  Sen, M K ^a   Bag, B C ^a  

^a VISVA BHARATI UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BARRIER CROSSING RATES; CROSSING RATES; ESCAPE RATES; FOKKER-PLANCK; GAUSSIAN; GENERAL EXPRESSIONS; LIMITING VALUES; MONOTONIC BEHAVIOURS; NOISE CORRELATIONS; NOISE SOURCES; NON-GAUSSIAN; NON-GAUSSIAN NOISE; NON-GAUSSIANITY; NUMERICAL SIMULATIONS; STOCHASTIC PROCESS; THEORETICAL RESULTS;

ACOUSTIC NOISE; CROSSINGS (PIPE AND CABLE); OPEN SYSTEMS;

TRELLIS CODES;

EID: 63949085608     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2009-00103-x     Document Type: Article

References (60)

1. P. Hänggi, P. Talkner, M. Borkovec, Rev. Mod. Phys. 62, 251 (1990)
2. V.I. Mel'nikov, Phys. Rep. 209, 1 (1991)
3. H.A. Kramers, Physica (Utrecht) 7, 284 (1940)
4. R. Landauer, J.A. Swanson, Phys. Rev. 121, 1668 (1961)
5. J.S. Langer, Ann. Phys. (N.Y.) 54, 258 (1969)
6. P. Talkner, D. Ryter, Phys. Lett. A 88, 162 (1982)
7. N.G. van Kampen, Prog. Theor. Phys. 64, 389 (1978)
8. P. Hänggi, Phys. Lett. A 78, 304 (1980)
9. J. Ray Chaudhuri, G. Gangopadhyay, D.S. Ray, J. Chem. Phys. 109, 5565 (1998);
10. J. Ray Chaudhuri, B. Deb, G. Gangopadhyay, D.S. Ray, J. Phys. B 31, 3859 (1998);
11. J. Ray Chaudhuri, B. Deb, S.K. Banik, D.S. Ray, Eur. Phys. J. D 6, 415 (1999);
12. J. Ray Chaudhuri, S.K. Banik, B.C. Bag, D.S. Ray, Phys. Rev. E 63, 061111 (2001)
13. M. Millonas, C. Ray, Phys. Rev. Lett. 75, 1110 (1995)
14. W.H. Miller, J. Chem. Phys. 62, 1899 (1975);
15. P.G. Wolynes, Phys. Rev. Lett. 47, 968 (1981);
16. W.H. Miller, S.D. Schwartz, J.W. Tromp, J. Chem. Phys. 79, 4889 (1983)
17. A.O. Caldeira, A.J. Leggett, Phys. Rev. Lett. 46, 211 (1981);
18. A.O. Caldeira, A.J. Leggett, Ann. Phys. (N.Y.) 149, 374 (1983);
19. A.O. Caldeira, A.J. Leggett, Physica A 121, 587 (1983)
20. H. Grabert, P. Schramm, G.L. Ingold, Phys. Rep. 168, 115 (1988)
21. U. Weiss, Quantum, Dissipative Systems (World Scientific, Singapore, 1993)
22. J. Ray Chaudhuri, B.C. Bag, D.S. Ray, J. Chem. Phys. 111, 10852 (1999)
23. D. Banerjee, B.C. Bag, S.K. Banik, D.S. Ray, Phys. Rev. E 65, 021109 (2002)
24. D. Banerjee, S.K. Banik, B.C. Bag, D.S. Ray, Phys. Rev. E 65, 021109 (2002)
25. D. Banerjee, B.C. Bag, S.K. Banik, D.S. Ray, Physica A 65, 021109 (2002)
26. P.K. Ghosh, D. Barik, B.C. Bag, D.S. Ray, J. Chem. Phys. 123, 224104 (2005);
27. P.K. Ghosh, B.C. Bag, D.S. Ray, J. Chem. Phys. 127, 044510 (2007)
28. R. Kubo, M. Toda, N. Hashitsume, Statistical Physics II, Nonequilibrium Statistical Mechanics (Springer, Berlin, 1985)
29. W. Horsthemke, R. Lefever, Noise-Induced Transitions (Springer-Verlag, Berlin, 1984)
30. J.M. Sancho, M. San Migued, S. Katz, J.D. Gunton, Phys. Rev. A. 26, 1589 (1982)
31. P. Hängi, F. Marchesoni, P. Grigolini, Z. Phys. B 56, 333 (1984)
32. F. Marchesoni, Phys. Rev. A. 36, 4050 (1987)
33. S.M. Bezrukov, I. Vodyanoy, Nature 378, 362 (1995)
34. D. Nozaki, D.J. Mar, P. Grigg, J.J. Collins, Phys. Rev. Lett. 82, 2125 (1999)
35. A. Manwani, C. Koch, Neural Comp. 11, 1797 (1999)
36. A. Manwani, Ph.D. Thesis, Caltech, (2000)
37. S. Leibler, Nature 370, 412 (1994)
38. M.A. Fuentes, R. Toral, U.S. Wio, Physica A 295, 114 (2001)
39. F.J. Castro, M.N. Kuperman, M. Fuentes, H.S. Wio, Phys. Rev. E 64, 051105 (2001)
40. A.A. Dubkov, N.V. Agudov, B. Spagnolo, Phys. Rev. E 69, 061103 (2004);
41. B. Spagnolo, A.A. Ďubkov, N.V. Agudov, Eur. Phys. J. B 40, 273 (2004)
42. A.A. Dubkov, B. Spagnolo, V.V. Uchaikin, Int. J. Bifurcation, Chaos 18, 2649 (2008);
43. A.A. Dubkov, A. La Cognata, B. Spagnolo, J. Stat. Mech.: Theo. Exp. 01011 (2008)
44. C.W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry, the Natural Processes (Springer-Verlag, New York, 1985)
45. L. Borland, Phys. Lett. A 245, 67 (1998)
46. M.A. Fuentes, U.S. Wio, R. Toral, Physica A 303, 91 (2002)
47. Ch.R. Doering, J.C. Gadoua, Phys. Rev. Lett. 69, 2318 (1992)
48. U.S. Wio, R. Toral, Physica D 193, 161 (2004)
49. P. Cole, U.S. Wio, M.S. Miguel, Phys. Rev. A 39, 6094 (1989);
50. U.S. Wio, P. Cole, M.S. Miguel, L. Pesquera, M.A. Rodriguez, Phys. Rev. A. 40, 7312 (1989)
51. P. Jung, P. Hänggi, Phys. Rev. A. 37, 4464 (1987)
52. P. Jung, P. Hänggi, J. Opt. Soc. Am. B 5, 979 (1988)
53. P. Hänggi, P. Jung, F. Marchesoni, J. Stat. Phys. 54, 1367 (1988)
54. R.F. Fox, Phys. Rev. A 37, 911 (1988);
55. M. Aguado, M. San Miguel, Phys. Rev. A 37, 450 (1988);
56. Th. Leiber, F. Marchesoni, H. Risken, Phys. Rev. A 38, 983 (1988);
57. L. Schimansky-Geier, Ch. Zülichke, Z. Physik. B 79, 451 (1990);
58. Li Cao, D. Wu, X. Luo, Phys. Rev. A 47, 57 (1993)
59. L. Gammaitoni, F. Marchesoni, E. Menichella-Saetta, S. Santucci, Phys. Rev. E 49, 4878 (1994)
60. R. Toral, in Computational Physics, edited by P. Garrido, J. Marro, Lecture Notes in Physics (Springer-Verlag, Berlin, 1995), Vol. 448