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Phys. Rev. Lett. 95, 200601 (2005) [4 pages]

Simple Measure of Memory for Dynamical Processes Described by a Generalized Langevin Equation

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Anatolii V. Mokshin1 *, Renat M. Yulmetyev1, and Peter Hänggi2
1Department of Physics, Kazan State Pedagogical University, 420021 Kazan, Russia
2Department of Physics, University of Augsburg, D-86135 Augsburg, Germany

Received 14 June 2005; published 9 November 2005

Memory effects are a key feature in the description of the dynamical systems governed by the generalized Langevin equation, which presents an exact reformulation of the equation of motion. A simple measure for the estimation of memory effects is introduced within the framework of this description. Numerical calculations of the suggested measure and the analysis of memory effects are also applied for various model physical systems as well as for the phenomena of “long time tails” and anomalous diffusion.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.95.200601
DOI: 10.1103/PhysRevLett.95.200601
PACS: 05.40.−a, 02.50.Ey, 05.60.−k

* Electronic address: mav@theory.kazan-spu.ru

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