Internal noise-driven generalized Langevin equation from a nonlocal continuum model

Sarkar, Saikat and Chowdhury, Shubhankar Roy and Roy, Debasish and Vasu, Ram Mohan (2015) Internal noise-driven generalized Langevin equation from a nonlocal continuum model. In: PHYSICAL REVIEW E, 92 (2).

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Abstract

Starting with a micropolar formulation, known to account for nonlocal microstructural effects at the continuum level, a generalized Langevin equation (GLE) for a particle, describing the predominant motion of a localized region through a single displacement degree of freedom, is derived. The GLE features a memory-dependent multiplicative or internal noise, which appears upon recognizing that the microrotation variables possess randomness owing to an uncertainty principle. Unlike its classical version, the present GLE qualitatively reproduces the experimentally measured fluctuations in the steady-state mean square displacement of scattering centers in a polyvinyl alcohol slab. The origin of the fluctuations is traced to nonlocal spatial interactions within the continuum, a phenomenon that is ubiquitous across a broad class of response regimes in solids and fluids. This renders the proposed GLE a potentially useful model in such cases.

Item Type:	Journal Article
Publication:	PHYSICAL REVIEW E
Publisher:	AMER PHYSICAL SOC
Additional Information:	Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	24 Sep 2015 07:09
Last Modified:	16 Oct 2018 10:15
URI:	http://eprints.iisc.ac.in/id/eprint/52441

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