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Baule, A, Evans, RML and Olmsted, PD (2006) Validation of the Jarzynski relation for a system with strong thermal coupling: An isothermal ideal gas model. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 74 (6). ISSN 1539-3755
Abstract
We revisit the paradigm of an ideal gas under isothermal conditions. A moving piston performs work on an ideal gas in a container that is strongly coupled to a heat reservoir. The thermal coupling is modeled by stochastic scattering at the boundaries. In contrast to recent studies of an adiabatic ideal gas with a piston [ R.C. Lua and A.Y. Grosberg J. Phys. Chem. B 109 6805 (2005)); I. Bena et al. Europhys. Lett. 71 879 (2005)], the container and piston stay in contact with the heat bath during the work process. Under this condition the heat reservoir as well as the system depend on the work parameter λ and microscopic reversibility is broken for a moving piston. Our model is thus not included in the class of systems for which the nonequilibrium work theorem has been derived rigorously either by Hamiltonian [ C. Jarzynski J. Stat. Mech. 2004 P09005 ()] or stochastic methods [ G.E. Crooks J. Stat. Phys. 90 1481 (1998)]. Nevertheless the validity of the nonequilibrium work theorem is confirmed both numerically for a wide range of parameter values and analytically in the limit of a very fast moving piston, i.e., in the far nonequilibrium regime.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2006, American Physical Society. This is an author produced version of a paper published in Physical Review E. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | free-energy differences, nonequilibrium measurements, equality |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) |
Depositing User: | Repository Officer |
Date Deposited: | 07 Jan 2013 13:40 |
Last Modified: | 05 Oct 2017 22:37 |
Published Version: | http://dx.doi.org/10.1103/PhysRevE.74.061117 |
Status: | Published |
Publisher: | American Physical Society |
Refereed: | Yes |
Identification Number: | 10.1103/PhysRevE.74.061117 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:74856 |
Available Versions of this Item
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Validation of the Jarzynski relation for a system with strong thermal coupling: an
isothermal ideal gas model. (deposited 09 Feb 2007)
- Validation of the Jarzynski relation for a system with strong thermal coupling: An isothermal ideal gas model. (deposited 07 Jan 2013 13:40) [Currently Displayed]