Critical dynamics of phase transition driven by dichotomous Markov noise

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 74, Issue 3, 2006, Pages

  Ouchi, Katsuya ^a   Horita, Takehiko ^b,d   Fujisaka, Hirokazu ^c  

^a KOBE DESIGN UNIVERSITY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

^c KYOTO UNIVERSITY   (Japan)

^d Osaka Prefecture University   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; CHANNEL CAPACITY; COMPUTER SIMULATION; CORRELATION THEORY; MAGNETIC FIELDS; PARAMETER ESTIMATION; SPECTRUM ANALYSIS;

DICHOTOMOUS MARKOV NOISE; NOISE INTENSITY; PHENOMENOLOGICAL ANALYSIS; POWER SPECTRUM;

PHASE TRANSITIONS;

EID: 33748644720     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.031106     Document Type: Article

References (42)

1. T. Tomé and M. J. de Oliveira, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.41.4251 41, 4251 (1990);
2. J. F. F. Menders and E. J. S. Large, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01048310 64, 653 (1991).
3. W. S. Lo and R. A. Pelcovits, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.7471 42, 7471 (1990).
4. M. Acharyya, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.1234 56, 1234 (1997);
5. M. Acharyya, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.2407 56, 2407 (1997);
6. M. Acharyya, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.179 58, 179 (1998);
7. M. Acharyya, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.218 59, 218 (1999).
8. S. W. Sides, P. A. Rikvold, and M. A. Novotny, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.834 81, 834 (1998);
9. S. W. Sides, P. A. Rikvold, and M. A. Novotny, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.2710 59, 2710 (1999).
10. P. A. Rikvold, in Computer Simulation Studies in Condensed Matter Physics XIII, edited by, D. P. Landau, S. P. Lewis, and, H.-B. Schüttler, (Springer, Berlin, 2000), pp. 105-119.
11. G. Korniss, C. J. White, P. A. Rikvold, and M. A. Novotny, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.016120 63, 016120 (2001).
12. H. Fujisaka, H. Tutu, and P. A. Rikvold, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.036109 63, 036109 (2001).
13. H. Tutu and N. Fujiwara, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.73.2680 73, 2680 (2004).
14. T. Yasui, H. Tutu, M. Yamamoto, and H. Fujisaka, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.036123 66, 036123 (2002).
15. Q. Jiang, H.-N. Yang, and G.-C. Wang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.14911 52, 14911 (1995);
16. Q. Jiang, H.-N. Yang, and G.-C. Wang, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.361549 79, 5122 (1996).
17. N. G. Van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981).
18. K. Kitahara, W. Horsthemke, and R. Lefever, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(79)90336-0 70A, 377 (1979);
19. K. Kitahara, W. Horsthemke, R. Lefever, and Y. Inaba, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.64.1233 64, 1233 (1980).
20. I. Bena, C. Van den Broeck, R. Kawai, and K. Lindenberg, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.045603 66, 045603 (R) (2002);
21. I. Bena, C. Van den Broeck, R. Kawai, and K. Lindenberg, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.041111 68, 041111 (2003).
22. I. L'Heureux and R. Kapral, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.454311 88, 7468 (1988);
23. I. L'Heureux and R. Kapral, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.455987 90, 2453 (1989);
24. J. M. Porrà, J. Masoliver, and K. Lindenberg, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.4866 44, 4866 (1991);
25. J. M. Porrà, J. Masoliver, K. Lindenberg, I. L'Heureux, and R. Kapral, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.6092 45, 6092 (1992).
26. P. Hänggi and P. Riseborough, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.27.3379 27, 3379 (1983);
27. C. Van den Broeck and P. Hänggi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.2730 30, 2730 (1984);
28. J. M. Sancho, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.31.3523 31, 3523 (1985);
29. J. Masoliver, K. Lindenberg, and B. J. West, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.34.2351 34, 2351 (1986);
30. M. A. Rodriguez and L. Pesquera, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.34.4532 34, 4532 (1986).
31. W. Horsthemke and R. Lefever, Noise-Induced Transitions (Springer, Berlin, 1984), Chap..
32. I. Bena, e-print cond-mat/0606116.
33. E. Ott, Chaos in Dynamical Systems (University Press, Cambridge, 1993), Sec. 8.3.
34. There exist several techniques in the case that F (t) is a white noise. See, e.g., C. W. Gardiner, Handbook of Stochastic Methods (Springer, Berlin, 1983);
35. H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1984).
36. See, e.g., M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1804 76, 1804 (1996);
37. A. Pikovsky, G. Osipov, M. Rosenblum, M. Zaks, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.47 79, 47 (1997);
38. S. Boccaletti, E. Allaria, R. Meucci, and F. T. Arecchi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.194101 89, 194101 (2002);
39. E. Rosa, E. Ott, and M. H. Hess, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1642 80, 1642 (1998);
40. K. J. Lee, Y. Kwak, and T. K. Lim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.321 81, 321 (1998);
41. H. Fujisaka, T. Yamada, G. Kinoshita, and T. Kono, Physica D PDNPDT 0167-2789 10.1016/j.physd.2005.03.001 205, 41 (2005);
42. H. Fujisaka, S. Uchiyama, and T. Horita, Prog. Theor. Phys. PTPKAV 0033-068X 114, 289 (2005).