Anomalous dissipation: Strong non-Markovian effect and its dynamical origin

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

Volumn 71, Issue 1, 2005, Pages

  Bao, Jing Dong ^a   Zhuo, Yi Zhong ^b,c  

^a BEIJING NORMAL UNIVERSITY   (China)

^b CHINA INSTITUTE OF ATOMIC ENERGY   (China)

^c INSTITUTE OF THEORETICAL PHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BALLISTIC DIFFUSION; FLUCTUATION-DISSIPATION THEOREM; MAGNETIC-FORCE POTENTIALS; NON-MARKOVIAN EFFECTS;

BALLISTICS; CORRELATION METHODS; DAMPING; DEGREES OF FREEDOM (MECHANICS); DIFFUSION; ELECTRIC CURRENTS; ELECTROMAGNETIC FIELDS; FRICTION; LAPLACE TRANSFORMS; SQUIDS;

MARKOV PROCESSES;

EID: 41349116914     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.010102     Document Type: Article

References (34)

1. U. Weiss, Quantum Dissipative Systems, 2nd ed. (World Scientific, Singapore, 1999).
2. H. Grabert, P. Schramm, and G.-L. Ingold, Phys. Rev. Lett. 58, 1285 (1987); Phys. Rep. 168, 115 (1988).
3. H. Grabert, P. Schramm, and G.-L. Ingold, Phys. Rev. Lett. 58, 1285 (1987); Phys. Rep. 168, 115 (1988).
4. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983); Ann. Phys. (N.Y.) 149, 374 (1983).
5. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983); Ann. Phys. (N.Y.) 149, 374 (1983).
6. A. J. Leggett, Phys. Rev. B 30, 1208 (1984).
7. G. W. Ford, J. T. Lewis, and R. F. O'Connell, Phys. Rev. Lett. 55, 2273 (1985); Phys. Rev. A 37, 4419 (1988).
8. G. W. Ford, J. T. Lewis, and R. F. O'Connell, Phys. Rev. Lett. 55, 2273 (1985); Phys. Rev. A 37, 4419 (1988).
9. E. Barkai and V. N. Fleurov, Phys. Rev. E 58, 1296 (1998); S. Jespersen, R. Metzler, and H. C. Fogedby, ibid. 59, 2736 (1999).
10. E. Barkai and V. N. Fleurov, Phys. Rev. E 58, 1296 (1998); S. Jespersen, R. Metzler, and H. C. Fogedby, ibid. 59, 2736 (1999).
11. X. L. Wu and A. Libchaber, Phys. Rev. Lett. 84, 3017 (2000); C.-K. Peng, S. Havlin, M. Schwanz, and H. E. Stanley, Phys. Rev. A 44, R2239 (1991); L. Frachebourg, Phys. Rev. Lett. 82, 1502 (1999); G. A. Appignanesi, M. A. Frechero, L. M. Alarcón, J. A. Rodriguez Fris, and R. A. Montani, Physica A 339, 469 (2004).
12. X. L. Wu and A. Libchaber, Phys. Rev. Lett. 84, 3017 (2000); C.-K. Peng, S. Havlin, M. Schwanz, and H. E. Stanley, Phys. Rev. A 44, R2239 (1991); L. Frachebourg, Phys. Rev. Lett. 82, 1502 (1999); G. A. Appignanesi, M. A. Frechero, L. M. Alarcón, J. A. Rodriguez Fris, and R. A. Montani, Physica A 339, 469 (2004).
13. X. L. Wu and A. Libchaber, Phys. Rev. Lett. 84, 3017 (2000); C.-K. Peng, S. Havlin, M. Schwanz, and H. E. Stanley, Phys. Rev. A 44, R2239 (1991); L. Frachebourg, Phys. Rev. Lett. 82, 1502 (1999); G. A. Appignanesi, M. A. Frechero, L. M. Alarcón, J. A. Rodriguez Fris, and R. A. Montani, Physica A 339, 469 (2004).
14. X. L. Wu and A. Libchaber, Phys. Rev. Lett. 84, 3017 (2000); C.-K. Peng, S. Havlin, M. Schwanz, and H. E. Stanley, Phys. Rev. A 44, R2239 (1991); L. Frachebourg, Phys. Rev. Lett. 82, 1502 (1999); G. A. Appignanesi, M. A. Frechero, L. M. Alarcón, J. A. Rodriguez Fris, and R. A. Montani, Physica A 339, 469 (2004).
15. E. Barkai and R. J. Silbey, J. Phys. Chem. B 104, 3866 (2000).
16. R. Morgado, F. A. Oliveira, G. G. Batrouni, and A. Hansen, Phys. Rev. Lett. 89, 100601 (2002).
17. J. D. Bao and Y. Z. Zhou, Phys. Rev. Lett. 91, 138104 (2003).
18. B. Li and J. Wang, Phys. Rev. Lett. 91, 044301 (2003); S. Denisov, J. Klafter, and M. Urbakh, ibid. 91, 194301 (2003).
19. B. Li and J. Wang, Phys. Rev. Lett. 91, 044301 (2003); S. Denisov, J. Klafter, and M. Urbakh, ibid. 91, 194301 (2003).
20. N. Pottier, Physica A 317, 371 (2002); N. Pettier and A. Mauger, ibid. 332, 15 (2004).
21. N. Pottier, Physica A 317, 371 (2002); N. Pettier and A. Mauger, ibid. 332, 15 (2004).
22. R. Kubo, Rep. Prog. Phys. 29, 255 (1966); R. Muralidhar, D. J. Jacobs, D. Ramkrishna, and H. Nakanishi, Phys. Rev. A 43, 6503 (1991).
23. R. Kubo, Rep. Prog. Phys. 29, 255 (1966); R. Muralidhar, D. J. Jacobs, D. Ramkrishna, and H. Nakanishi, Phys. Rev. A 43, 6503 (1991).
24. I. V. L. Costa, R. Morgado, M. V. B. T. Lima, and F. A. Oliverira, Europhys. Lett. 63, 173 (2003).
25. V. Hakim and V. Ambegaokar, Phys. Rev. A 32, 423 (1985).
26. P. Ullersma, Physica (Utrecht) 32, 27 (1966); F. Haake and R. Reibold, Phys. Rev. A 32, 2462 (1985).
27. P. Ullersma, Physica (Utrecht) 32, 27 (1966); F. Haake and R. Reibold, Phys. Rev. A 32, 2462 (1985).
28. c-c(z) for the usual coordinate-coordinate coupling.
29. M. I. Dykman, P. V. E. McClintock, N. D. Stein, and N. G. Stocks, Phys. Rev. Lett. 67, 933 (1991).
30. J. D. Bao and S. J. Liu, Phys. Rev. E 60, 7572 (1999); S. A. Guz and M. V. Sviridov, Chaos 11, 605 (2001).
31. J. D. Bao and S. J. Liu, Phys. Rev. E 60, 7572 (1999); S. A. Guz and M. V. Sviridov, Chaos 11, 605 (2001).
32. H. Risken, The Fokker-Planck Equation (Springer-Verlag, Berlin, 1984).
33. P. Ao and D. J. Thouless, Phys. Rev. Lett. 72, 132 (1994); P. Ao, Phys. Scr., T 69, 7 (1997).
34. P. Ao and D. J. Thouless, Phys. Rev. Lett. 72, 132 (1994); P. Ao, Phys. Scr., T 69, 7 (1997).