Relaxation time distributions for an anomalously diffusing particle

Noëlle Pottier

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 16, 2863-2879

Abstract: As well known, the generalized Langevin equation with a memory kernel decreasing at large times as an inverse power law of time describes the motion of an anomalously diffusing particle. Here, we focus attention on some new aspects of the dynamics, successively considering the memory kernel, the particle’s mean velocity, and the scattering function. All these quantities are studied from a unique angle, namely, the discussion of the possible existence of a distribution of relaxation times characterizing their time decay. Although a very popular concept, a relaxation time distribution cannot be associated with any time-decreasing quantity (from a mathematical point of view, the decay has to be described by a completely monotonic function).

Keywords: Anomalous diffusion; Mittag-Leffler decay; Relaxation time distributions (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:16:p:2863-2879

DOI: 10.1016/j.physa.2011.03.029

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