Brownian dynamics, time-averaging and colored noise

Physica A: Statistical Mechanics and its Applications

Volumn 365, Issue 2, 2006, Pages 289-299

  Soares Pinto, D O ^a   Morgado, W A M ^b  

^a CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^b PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Brownian motion; Colored noise; Time average

Indexed keywords

CORRELATION METHODS; FUNCTIONS; GAUSSIAN NOISE (ELECTRONIC); LAPLACE TRANSFORMS; POSITION MEASUREMENT; STATISTICAL MECHANICS; VELOCITY MEASUREMENT;

COLORED NOISE; HARMONIC OSCILLATOR; THERMAL BATH; TIME-AVERAGE;

BROWNIAN MOVEMENT;

EID: 33646080809     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.01.063     Document Type: Article

References (18)

1. E. Nelson, Dynamical Theories of Brownian Motion, second ed., Princeton University Press, Princeton, NJ (also available at http://www.math.princeton.edu/~nelson/books.html).
2. Oppenheim I., and van Kampen N.G. Physica A 196 (1986) 231
3. Risken H. The Fokker-Planck Equation: Methods of Solution and Applications (1984), Springer, New York
4. van Kampen N.G. Stochastic Processes in Physics and Chemistry (1992), North-Holland, Amsterdam
5. Einstein A. Investigations on the Theory of the Brownian Movement (1956), Dover, New York (Translations available)
6. P. Hänggi, F. Marchesoni, CHAOS 15 (2005) 026101.
7. A.N. Borodin, P. Salminen, Handbook of Brownian Motion: Facts and Formulae, second ed., Birkhäuser, Basel; J. Bouchaud, A. Georges, Phys. Reports 195 (1990) 127; J. Klafter, M.F. Shlesinger, G. Zumofen, Phys. Today 49 (1996) 33.
8. A. Dubkov, B. Spagnolo, Fluctuation and Noise Letters 5 (2) (2005) L267-L274, cond-mat/0505270.
9. Cáceres M.O. Phys. Rev. E 67 (2003) 016102
10. Uhlenbeck G.E., Ford G.W., and Montroll E.W. Lectures in Statistical mechanics (1963), American Mathematical Society, Providence RI
11. Zwanzig R. In: Broton W.E. (Ed). Lectures in Theoretical Physics, Boulder vol. 3 (1961), Interscience, New York
12. Mori H. Phys. Rev. 112 (1958) 1892
13. A typical and beautiful derivation of it is to be found, in: P. Mazur, I. Oppenheim, Physica 50 (1970) 241.
14. Budini A.A., and Cáceres M.O. J. Phys. A 37 (2004) 5959
15. Budini A.A., and Cáceres M.O. Phys. Rev. E 70 (2004) 046104
16. Cáceres M.O. Phys. Rev. E 60 (1999) 5208
17. Sancho J.M., San Miguel M., Katz S.L., and Gunton J.D. Phys. Rev. A 26 (1982) 1589
18. Wio H.S., Colet P., San Miguel M., Pesquera L., and Rodríguez M.A. Phys. Rev. A 40 (1989) 7312