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Title: Local entropy of a nonequilibrium fermion system

Authors:
 [1];  [1]
  1. Department of Physics, University of Arizona, 1118 East Fourth Street, Tucson, Arizona 85721, USA
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1349136
Grant/Contract Number:
DESC0006699
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 146; Journal Issue: 9; Related Information: CHORUS Timestamp: 2018-02-15 01:34:07; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics
Country of Publication:
United States
Language:
English

Citation Formats

Stafford, Charles A., and Shastry, Abhay. Local entropy of a nonequilibrium fermion system. United States: N. p., 2017. Web. doi:10.1063/1.4975810.
Stafford, Charles A., & Shastry, Abhay. Local entropy of a nonequilibrium fermion system. United States. doi:10.1063/1.4975810.
Stafford, Charles A., and Shastry, Abhay. Tue . "Local entropy of a nonequilibrium fermion system". United States. doi:10.1063/1.4975810.
@article{osti_1349136,
title = {Local entropy of a nonequilibrium fermion system},
author = {Stafford, Charles A. and Shastry, Abhay},
abstractNote = {},
doi = {10.1063/1.4975810},
journal = {Journal of Chemical Physics},
number = 9,
volume = 146,
place = {United States},
year = {Tue Mar 07 00:00:00 EST 2017},
month = {Tue Mar 07 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1063/1.4975810

Citation Metrics:
Cited by: 1work
Citation information provided by
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  • Three definitions of entropy for a nonequilibrium system of particles, driven homogeneously by external forces and thermostatted homogeneously by a feedback mechanism, are discussed. The first is proposed to be S(t) = -k, i.e., the nonequilibrium ensemble average of the logarithm of the thermostatted equilibrium distribution function f/sub xi/. We show here, for a specific example, namely, the Nose-Hoover thermostat, that the entropy so defined reduces properly to the equilibrium result when the external forces are turned off, that this entropy behaves correctly when the thermostat is turned off, and that the thermostatted steady state is achievable. A reasonable alternativemore » definition from information theory, namely replacing f/sub xi/ by the nonequilibrium distribution function f, is shown to give incorrect results. If, however, the distribution function f is coarse grained in time to give f-bar, then the resulting coarse-grained information-theory entropy, like the first definition, satisfies the requirements of the nonequilibrium entropy, with the added advantage of being easier to interpret in terms of the number of accessible states. Additional implications are discussed.« less
  • The local supersymmetric Siegel Lagrangian describing a system consisting of a chiral boson and a chiral fermion in two dimensions is studied. The theory has a local supersymmetry anomaly as well as a gravitational-like gauge anomaly. A modification of the Lagrangian yielding anomaly cancellations is proposed. With the modified Lagrangian, the Becchi-Rouet-Stora-Tyutin quantization is carried out.
  • There are only a very few known relations in statistical dynamics that are valid for systems driven arbitrarily far-from-equilibrium. One of these is the fluctuation theorem, which places conditions on the entropy production probability distribution of nonequilibrium systems. Another recently discovered far from equilibrium expression relates nonequilibrium measurements of the work done on a system to equilibrium free energy differences. In this paper, we derive a generalized version of the fluctuation theorem for stochastic, microscopically reversible dynamics. Invoking this generalized theorem provides a succinct proof of the nonequilibrium work relation. [copyright] [ital 1999] [ital The American Physical Society]
  • We analyze different mechanisms of entropy production in statistical mechanics, and propose formulas for the entropy production rate e({mu}) in a state {mu}. When {mu} is a steady state describing the long term behavior of a system we show that e({mu}) {ge} 0, and sometimes we can prove e({mu}) > 0.