Relaxation time for nonlinear response of a Brownian particle subject to a step external force: Analytical solutions for one-dimensional models

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

Volumn 55, Issue 3, 1997, Pages 2509-2515

  Kalmykov, Yu P ^a,b   Dejardin J L ^a   Coffey, W T ^c  

^a UNIVERSITÉ DE PERPIGNAN   (France)

^b Institute of Radio Engineering and Electronics of the Russian Academy of Sciences   (United States)

^c TRINITY COLLEGE DUBLIN   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001639213     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.2509     Document Type: Article

References (21)

1. R. Kubo, J. Phys. Soc. Jpn.12, 570 (1957).
2. H. Risken, The Fokker-Planck Equation, 2nd ed. (Springer, Berlin, 1989).
3. A. Morita, Phys. Rev. A34, 1499 (1986).
4. A. Morita and H. Watanabe, Phys. Rev. A35, 2690 (1987).
5. H. Watanabe and A. Morita, Advances in Chemical Physics, edited by I. Prigogine and S. A. Rice (Wiley, New York, 1984), Vol. 56, pp. 255–409.
6. J.-L. Déjardin, P. Blaise and W T. Coffey, Phys. Rev. E54, 852 (1996).
7. W T. Coffey, J. L. Déjardin, Yu. P. Kalmykov and S V. Titov, Phys. Rev. E54, 6462 (1996).
8. J.-L. Déjardin, Dynamic Kerr Effect (World Scientific, Singapore, 1995).
9. W. T. Coffey, Yu. P. Kalmykov, and J. T. Waldron, The Langevin Equation (World Scientific, Singapore, 1996).
10. A J. Martin, G. Meier and A. Saupe, Symp. Faraday Soc.5, 119 (1971).
11. W T. Coffey, D. S. F. Crothers, Yu. P. Kalmykov and J T. Waldron, Physica A213, 551 (1994).
12. W. F. Brown, Jr., Phys. Rev.130, 1677 (1963).
13. W T. Coffey, D. S. F. Crothers, Yu. P. Kalmykov and J T. Waldron, Phys. Rev. B51, 15 947 (1995).
14. Yu. L. Raikher and M. I. Shliomis, Advances in Chemical Physics, edited by W. T. Coffey (Wiley, New York, 1994), Vol. 87, p. 595.
15. W T. Coffey, D. S. F. Crothers, Yu. P. Kalmykov, E S. Massawe and J T. Waldron, Phys. Rev. E49, 1869 (1994).
16. D A. Garanin, Phys. Rev. E54, 3250 (1996).
17. Handbook of Mathematical Functions, edited by M. Abramowitz and I. Stegun (Dover, New York, 1965).
18. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. Additional Chapters (Science, Moscow, 1986).
19. A. Szabo, J. Chem. Phys.72, 4620 (1980).
20. G. Moro and P L. Nordio, Mol. Phys.56, 255 (1985).
21. W T. Coffey and D. S. F. Crothers, Phys. Rev. E54, 4768 (1996).