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Brownian motion under dynamic disorder: effects of memory on the decay of the non-Gaussianity parameter

Tyagi, Neha and Cherayil, Binny J (2018) Brownian motion under dynamic disorder: effects of memory on the decay of the non-Gaussianity parameter. In: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT .

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Official URL: http://dx.doi.org/10.1088/1742-5468/aaa8ee

Abstract

The increasingly widespread occurrence in complex fluids of particle motion that is both Brownian and non-Gaussian has recently been found to be successfully modeled by a process (frequently referred to as `diffusing diffusivity') in which the white noise that governs Brownian diffusion is itself stochastically modulated by either Ornstein-Uhlenbeck dynamics or by two-state noise. But the model has so far not been able to account for an aspect of non-Gaussian Brownian motion that is also commonly observed: a non-monotonic decay of the parameter that quantifies the extent of deviation from Gaussian behavior. In this paper, we show that the inclusion of memory effects in the model-via a generalized Langevin equation-can rationalise this phenomenon.

Item Type: Journal Article
Additional Information: Copy right for this article belong to IOP PUBLISHING LTD, TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
Department/Centre: Division of Chemical Sciences > Inorganic & Physical Chemistry
Depositing User: Id for Latest eprints
Date Deposited: 16 Apr 2018 20:09
Last Modified: 16 Apr 2018 20:09
URI: http://eprints.iisc.ac.in/id/eprint/59591

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