Damped bistable system driven by colored noise: A digital simulation study

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 58, Issue 4, 1998, Pages 4141-4146

  Mahanta, Chitralekha ^a   Venkatesh, T G ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2942585837     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.4141     Document Type: Article

References (56)

1. H. A. Kramers, Physica (Utrecht) 7, 284 (1940).
2. W. Dieterich, P. Fulde, and I. Peschel, Adv. Phys. 29, 527 (1980).
3. R. Ferrando, R. Spadacini, and G. E. Tommei, Phys. Rev. B 45, 444 (1992).
4. H. Risken, The Fokker-Planck Equation—Methods of Solution and Applications (Springer-Verlag, Berlin, 1984).
5. E. G. Gwinn and R. M. Westervelt, Phys. Rev. Lett. 54, 1613 (1985), and references therein; PRLTAO
6. S. W. Teitsworth and R. M. Westervelt, Phys. Rev. Lett. 56, 516 (1986).
7. W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich, and M. O. Scully, Rev. Mod. Phys. 57, 61 (1985), and references therein.
8. R. Graham, M. Hohnerbach, and A. Schenzle, Phys. Rev. Lett. 48, 1396 (1982); PRLTAO
9. F. T. Arecchi, R. Meucci, G. Puccioni, and J. Tredicce, Phys. Rev. Lett. 49, 1217 (1982).
10. N. B. Abraham, L. A. Lugiato, and L. M. Narducci, Phys. Today 39 (1), S53 (1986).
11. Y. M. Golubev and M. I. Kolobov, Phys. Rev. Lett. 79, 399 (1997).
12. K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986).
13. J. Wong and C. A. Angell, Glass: Structure by Spectroscopy (Dekker, New York, 1976).
14. H. Frauenfelder and P. G. Wolynes, Science 229, 337 (1985).
15. D. L. Stein, Proc. Natl. Acad. Sci. USA 82, 3670 (1985).
16. P. Hanggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990), and references therein.
17. V. I. Mel’nikov, Phys. Rep. 209, 71 (1991), and references therein.
18. S. Arrhenius, Z. Phys. Chem. (Leipzig) 4, 226 (1989).
19. G. Gamov, Z. Phys. 52, 510 (1928).
20. C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences (Springer-Verlag, Berlin, 1983).
21. W. Horsthemke and R. Lefever, Noise-Induced Transitions, Theory and Applications in Physics, Chemistry, and Biology (Springer-Verlag, Berlin, 1984).
22. V. I. Mel’nikov and S. V. Meshkov, J. Chem. Phys. 85, 1018 (1986).
23. H. Risken and K. Voigtlander, J. Stat. Phys. 41, 825 (1985); JSTPBS
24. K. Voigtlander and H. Risken, Chem. Phys. 105, 506 (1984).
25. M. Buttiker, P. Harris, and R. Landauer, Phys. Rev. B 28, 1268 (1983).
26. B. Carmeli and A. Nitzan, Phys. Rev. A 29, 1481 (1984).
27. M. I. Dykman, R. Mannella, P. V. E. McClintock, F. Moss, and S. M. Soskin, Phys. Rev. A 37, 1303 (1988).
28. J. A. M. Janssen, Physica A 152, 145 (1988), and references therein.
29. P. Hanggi, F. Marchesoni, and P. Grigolini, Z. Phys. B 56, 333 (1984); ZPCMDN
30. J. M. Sancho, M. San Miguel, S. L. Katz, and J. D. Gunton, Phys. Rev. A 26, 1589 (1982); PLRAAN
31. Phys. Rev. AE. Peacock-Lopez, B. J. West, and Katja Lindenberg, 37, 3530 (1988);
32. P. Grigolini, in Noise in Nonlinear Dynamical Systems, edited by F. Moss and P. V. E. McClintock (Cambridge University Press, Cambridge, 1989), Vol. I;
33. R. F. Fox, Phys. Rev. A 33, 467 (1986); PLRAAN
34. Phys. Rev. AG. Tsironis and P. Grigolini, 38, 3749 (1988);
35. Phys. Rev. AP. Jung and P. Hanggi, 35, 4464 (1987);
36. Phys. Rev. AM. M. Klosek-Dygas, B. J. Matkowski, and Z. Schuss, 38, 2605 (1988);
37. Phys. Rev. ATh. Leiber, F. Marchesoni, and H. Risken, 38, 983 (1988).
38. F. Marchesoni, E. Menichella-Saetta, M. Pochini, and S. Santucci, Phys. Rev. A 37, 3058 (1988); PLRAAN
39. F. MarchesoniE. Menichella-SaettaM. PochiniS. SantucciPhys. Lett. A 130, 467 (1988).
40. L. Fronzoni, P. Grigolini, P. Hanggi, F. Moss, R. Mannella, and P. V. E. McClintock, Phys. Rev. A 33, 3320 (1986).
41. J. R. Klauder and W. P. Peterson, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 22, 1153 (1985).
42. R. Mannella, in Noise in Nonlinear Dynamical Systems (Ref. 26), Vol. III.
43. R. F. Fox, Phys. Rev. A 43, 2649 (1991).
44. G. N. Milshtein and M. V. Tret’yakov, J. Stat. Phys. 77, 691 (1994).
45. D. E. Knuth, The Art of Computer Programming (Addison-Wesley, Reading, MA, 1969), Vol. 2.
46. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965);
47. L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981).
48. T. G. Venkatesh and L. M. Patnaik, Phys. Rev. E 48, 2402 (1993); PLEEE8
49. T. G. VenkateshL. M. PatnaikPhys. Rev. A 46, R7355 (1992);
50. T. G. VenkateshL. M. PatnaikPhys. Rev. E 47, 1589 (1993).
51. L. Pesquera, M. A. Rodriguez, and E. Santos, Phys. Lett. 94A, 287 (1983); PYLAAG
52. P. Hanggi, Z. Phys. B 75, 275 (1989); ZPCMDN
53. M. I. Dykman, Phys. Rev. A 42, 2020 (1990); PLRAAN
54. Phys. Rev. AHoracio S. Wio, P. Colet, M. San Miguel, L. Pesquera, and M. A. Rodriguez, 40, 7312 (1990);
55. K. M. Rattray and A. J. McKane, J. Phys. A. 24, 4375 (1991); JPHAC5
56. A. J. McKane, H. C. Luckock, and A. J. Bray, Phys. Rev. A. 41, 644 (1990). PLRAAN