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

Abstract

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.

References in corpus (6)

• Fractional Langevin equation
• Transport properties of dense fluid argon
• Coarse-Grained Probabilistic Automata Mimicking Chaotic Systems
• Relaxation time scales in collective dynamics of liquid alkali metals
• Diffusion Time-Scale Invariance, Markovization Processes and Memory Effects in Lennard-Jones Liquids
• Heterogeneities in systems with quenched disorder

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