Brownian particles in stationary and moving traps: The mean and variance of the heat distribution function

Chatterjee, Debarati and Cherayil, Binny J (2009) Brownian particles in stationary and moving traps: The mean and variance of the heat distribution function. In: Physical Review E, 80 (1, Par). 011118-1-011118-6.

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Abstract

A recent theoretical model developed by Imparato et al. Phys of the experimentally measured heat and work effects produced by the thermal fluctuations of single micron-sized polystyrene beads in stationary and moving optical traps has proved to be quite successful in rationalizing the observed experimental data. The model, based on the overdamped Brownian dynamics of a particle in a harmonic potential that moves at a constant speed under a time-dependent force, is used to obtain an approximate expression for the distribution of the heat dissipated by the particle at long times. In this paper, we generalize the above model to consider particle dynamics in the presence of colored noise, without passing to the overdamped limit, as a way of modeling experimental situations in which the fluctuations of the medium exhibit long-lived temporal correlations, of the kind characteristic of polymeric solutions, for instance, or of similar viscoelastic fluids. Although we have not been able to find an expression for the heat distribution itself, we do obtain exact expressions for its mean and variance, both for the static and for the moving trap cases. These moments are valid for arbitrary times and they also hold in the inertial regime, but they reduce exactly to the results of Imparato et al. in appropriate limits. DOI: 10.1103/PhysRevE.80.011118 PACS.

Item Type:	Journal Article
Publication:	Physical Review E
Publisher:	American Physical Society
Additional Information:	Copyright of this article belongs to American Physical Society.
Keywords:	Brownian motion, fluctuations, harmonic oscillators, liquid theory, nonequilibrium thermodynamics, polymer solutions, random noise
Department/Centre:	Division of Chemical Sciences > Inorganic & Physical Chemistry
Date Deposited:	21 Aug 2009 07:17
Last Modified:	19 Sep 2010 05:41
URI:	http://eprints.iisc.ac.in/id/eprint/22435

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