Solutions of a class of non-Markovian Fokker-Planck equations

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

Volumn 66, Issue 4, 2002, Pages 5-

  Sokolov, I M ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFUSION; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; PROBABILITY DENSITY FUNCTION; THERMODYNAMICS;

FOKKER-PLANCK (FP) EQUATIONS; GALILEAN TRANSFORMATION; INTEGRAL DECOMPOSITION; WIENER PROCESS;

MARKOV PROCESSES;

ARTICLE;

EID: 41349107351     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.041101     Document Type: Article

References (13)

1. R. Zwanzig, Phys. Rev. 124, 983 (1961).
2. R. Metzler, J. Klafter, and I.M. Sokolov, Phys. Rev. E 58, 1621 (1998).
3. R. Metzler and J. Klafter, Phys. Rep. 339, 1 (2000).
4. M. Caputo, Fractional Calculus and Applied Analysis 4, 421 (2001).
5. A. Chechkin, R. Gorenflo, and I. M. Sokolov, Phys. Rev. E (to be published); e-print cond-mat/0202213.
6. B.J. Cherayil, J. Chem. Phys. 97, 2090 (1992).
7. T. Bandyopadhyay and S.K. Ghosh, J. Chem. Phys. 116, 4366 (2002).
8. I.M. Sokolov, Phys. Rev. E 63, 056111 (2001).
9. E. Barkai, Phys. Rev. E 63, 046118 (2001).
10. W. Feller, An Introduction to Probability Theory and Its Applications (J. Wiley & Sons, NY, 1971), Vols. 1 and 2.
11. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series (Nauka, Moscow, 1981).
12. V.M. Kemkre, E.W. Montroll, and M.F. Shlesinger, J. Stat. Phys. 9, 45 (1973).
13. R. Metzler and J. Klafter, Europhys. Lett. 51, 492 (2000).