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Title: On the work distribution for the adiabatic compression of a diluteclassical gas

Abstract

We consider the adiabatic and quasi-static compression of adilute classical gas, confined in a piston and initially equilibratedwith a heat bath. We find that the work performed during this process isdescribed statistically by a gamma distribution. We use this result toshow that the model satisfies the non-equilibrium work and fluctuationtheorems, but not the fluctation-dissipation relation. We discuss therare but dominant realizations that contribute most to the exponentialaverage of the work, and relate our results to potentially universal workdistributions.

Authors:
;
Publication Date:
Research Org.:
Ernest Orlando Lawrence Berkeley NationalLaboratory, Berkeley, CA (US)
Sponsoring Org.:
USDOE Director, Office of Science
OSTI Identifier:
920150
Report Number(s):
LBNL-59657
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US200818%%1074
DOE Contract Number:
DE-AC02-05CH11231
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physcial Review Letters; Journal Volume: 75; Journal Issue: 2pt1; Related Information: Journal Publication Date: 02/2007
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION; COMPRESSION; DISTRIBUTION; FLUCTUATIONS; PISTONS

Citation Formats

Crooks, Gavin E., and Jarzynski, Christopher. On the work distribution for the adiabatic compression of a diluteclassical gas. United States: N. p., 2006. Web.
Crooks, Gavin E., & Jarzynski, Christopher. On the work distribution for the adiabatic compression of a diluteclassical gas. United States.
Crooks, Gavin E., and Jarzynski, Christopher. Thu . "On the work distribution for the adiabatic compression of a diluteclassical gas". United States. doi:. https://www.osti.gov/servlets/purl/920150.
@article{osti_920150,
title = {On the work distribution for the adiabatic compression of a diluteclassical gas},
author = {Crooks, Gavin E. and Jarzynski, Christopher},
abstractNote = {We consider the adiabatic and quasi-static compression of adilute classical gas, confined in a piston and initially equilibratedwith a heat bath. We find that the work performed during this process isdescribed statistically by a gamma distribution. We use this result toshow that the model satisfies the non-equilibrium work and fluctuationtheorems, but not the fluctation-dissipation relation. We discuss therare but dominant realizations that contribute most to the exponentialaverage of the work, and relate our results to potentially universal workdistributions.},
doi = {},
journal = {Physcial Review Letters},
number = 2pt1,
volume = 75,
place = {United States},
year = {Thu Feb 23 00:00:00 EST 2006},
month = {Thu Feb 23 00:00:00 EST 2006}
}