Local entropy of a nonequilibrium fermion system
Abstract
The local entropy of a nonequilibrium system of independent fermions is investigated and analyzed in the context of the laws of thermodynamics. It is shown that the local temperature and chemical potential can only be expressed in terms of derivatives of the local entropy for linear deviations from local equilibrium. The first law of thermodynamics is shown to lead to an inequality, not equality, for the change in the local entropy as the nonequilibrium state of the system is changed. The maximum entropy principle (second law of thermodynamics) is proven: a nonequilibrium distribution has a local entropy less than or equal to a local equilibrium distribution satisfying the same constraints. It is shown that the local entropy of the system tends to zero when the local temperature tends to zero, consistent with the third law of thermodynamics
 Authors:

 Univ. of Arizona, Tucson, AZ (United States)
 Publication Date:
 Research Org.:
 Univ. of Arizona, Tucson, AZ (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1465755
 Alternate Identifier(s):
 OSTI ID: 1349136
 Grant/Contract Number:
 SC0006699; DESC0006699
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Chemical Physics
 Additional Journal Information:
 Journal Volume: 146; Journal Issue: 9; Journal ID: ISSN 00219606
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 74 ATOMIC AND MOLECULAR PHYSICS
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. https://www.osti.gov/servlets/purl/1465755.
@article{osti_1465755,
title = {Local entropy of a nonequilibrium fermion system},
author = {Stafford, Charles A. and Shastry, Abhay},
abstractNote = {The local entropy of a nonequilibrium system of independent fermions is investigated and analyzed in the context of the laws of thermodynamics. It is shown that the local temperature and chemical potential can only be expressed in terms of derivatives of the local entropy for linear deviations from local equilibrium. The first law of thermodynamics is shown to lead to an inequality, not equality, for the change in the local entropy as the nonequilibrium state of the system is changed. The maximum entropy principle (second law of thermodynamics) is proven: a nonequilibrium distribution has a local entropy less than or equal to a local equilibrium distribution satisfying the same constraints. It is shown that the local entropy of the system tends to zero when the local temperature tends to zero, consistent with the third law of thermodynamics},
doi = {10.1063/1.4975810},
journal = {Journal of Chemical Physics},
number = 9,
volume = 146,
place = {United States},
year = {2017},
month = {2}
}
Web of Science
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