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

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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.

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Crooks, Gavin E. & Jarzynski, Christopher February 23, 2006.

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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.

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  • Journal Name: Physcial Review Letters; Journal Volume: 75; Journal Issue: 2pt1; Related Information: Journal Publication Date: 02/2007

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  • Report No.: LBNL--59657
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 920150
  • Archival Resource Key: ark:/67531/metadc899026

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  • February 23, 2006

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  • Sept. 27, 2016, 1:39 a.m.

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  • Sept. 21, 2017, 3:54 p.m.

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Crooks, Gavin E. & Jarzynski, Christopher. On the work distribution for the adiabatic compression of a diluteclassical gas, article, February 23, 2006; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc899026/: accessed September 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.