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Beyond onsager–casimir relations: shared dependence of phenomenological coefficients on state variables

Abstract:
Phenomenological coefficients in linear nonequilibrium thermodynamics have been considered to be independent, apart from restrictions due to the Onsager–Casimir reciprocal relations and the requirement to have non-negative entropy production. Recently, it has been shown that functional constraints between these coefficients may hold, restricting their dependence on state variables, especially in the case of coupled phenomena. Here we demonstrate that such restrictions require only mild assumptions on the system of interest and are, in fact, much more constraining than previously reported. Such constraints vastly reduce the set of plausible models for constitutive relations and allow for simpler experimental determinations of dependencies in coupled systems. These results may also clarify inconsistencies in the literature regarding constitutive models used that do not obey these thermodynamic constraints.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1021/acs.jpclett.8b03281

Authors


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Role:
Author
ORCID:
0000-0001-6272-8396
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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
St Anne's College
Role:
Author
ORCID:
0000-0001-9638-7278


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Grant:
CZ.02.2.69/0.0/0.0/17_050/0008025


Publisher:
American Chemical Society
Journal:
Journal of Physical Chemistry Letters More from this journal
Volume:
9
Issue:
24
Pages:
7021–7025
Publication date:
2018-12-01
Acceptance date:
2018-12-01
DOI:
EISSN:
1948-7185


Language:
English
Pubs id:
pubs:950590
UUID:
uuid:bfd4735b-46ec-4e26-ae04-8357f0c4c39f
Local pid:
pubs:950590
Source identifiers:
950590
Deposit date:
2018-12-05

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