A simple measure of memory for dynamical processes described by the generalized Langevin equation

Details A simple measure of memory for dynamical processes described by the generalized Langevin equation A simple measure of memory for dynamical processes described by the generalized Langevin equation

2005-11-12

arxiv.org/abs/cond-mat/0511308v1

Phys. Rev. Lett. 95, 200601 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevLett.95.200601

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.

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