The distribution of heat fluctuations in resistively-coupled dual temperature heat baths

Ghosal, A and Cherayil, BJ (2016) The distribution of heat fluctuations in resistively-coupled dual temperature heat baths. In: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT .

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Abstract

A path integral approach used earlier to calculate the exact heat distribution function of a harmonically trapped Brownian oscillator at a fixed temperature (Chatterjee and Cherayil 2010 Phys. Rev. E 82 051104) is extended in this paper to a consideration of heat fluctuations in a dual temperature system. Our new calculations complement recent experimental data obtained by Ciliberto et al (2013 J. Stat. Mech. P12014) on the stochastic thermodynamics of an electrical circuit made up of coupled resistors maintained at two distinct temperatures. Measurements of various thermodynamic quantities in this system, including the heat, work and energy, reveal trends that represent interesting generalizations of results for the single temperature case. In particular, the measured distribution of the heat exchanged at one of the reservoirs is found to agree qualitatively with a fluctuation relation applicable at long times. In the present work, we exploit the formal equivalence between the electrical circuit and a system of coupled Brownian oscillators to derive, within the path integral formalism and for a special set of parameter values, an exact integral representation-valid for all times-of the total heat distribution function of the system. We find that the infinite-time limit of this distribution shows interesting departures from its expected behavior.

Item Type:	Journal Article
Publication:	JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Publisher:	IOP PUBLISHING LTD
Additional Information:	Copy right for this article belongs to the IOP PUBLISHING LTD, TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
Keywords:	fluctuations (theory); stochastic processes; transport processes/heat transfer (theory)
Department/Centre:	Division of Chemical Sciences > Inorganic & Physical Chemistry
Date Deposited:	16 Jun 2016 07:38
Last Modified:	16 Jun 2016 07:38
URI:	http://eprints.iisc.ac.in/id/eprint/54012

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