Beyond onsager–casimir relations: shared dependence of phenomenological coefficients on state variables
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 b...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
American Chemical Society
2018
|
| _version_ | 1797092514174337024 |
|---|---|
| author | Klika, V Krause, A |
| author_facet | Klika, V Krause, A |
| author_sort | Klika, V |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T03:47:00Z |
| format | Journal article |
| id | oxford-uuid:bfd4735b-46ec-4e26-ae04-8357f0c4c39f |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:47:00Z |
| publishDate | 2018 |
| publisher | American Chemical Society |
| record_format | dspace |
| spelling | oxford-uuid:bfd4735b-46ec-4e26-ae04-8357f0c4c39f2022-03-27T05:50:19ZBeyond onsager–casimir relations: shared dependence of phenomenological coefficients on state variablesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bfd4735b-46ec-4e26-ae04-8357f0c4c39fEnglishSymplectic Elements at OxfordAmerican Chemical Society2018Klika, VKrause, APhenomenological 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. |
| spellingShingle | Klika, V Krause, A Beyond onsager–casimir relations: shared dependence of phenomenological coefficients on state variables |
| title | Beyond onsager–casimir relations: shared dependence of phenomenological coefficients on state variables |
| title_full | Beyond onsager–casimir relations: shared dependence of phenomenological coefficients on state variables |
| title_fullStr | Beyond onsager–casimir relations: shared dependence of phenomenological coefficients on state variables |
| title_full_unstemmed | Beyond onsager–casimir relations: shared dependence of phenomenological coefficients on state variables |
| title_short | Beyond onsager–casimir relations: shared dependence of phenomenological coefficients on state variables |
| title_sort | beyond onsager casimir relations shared dependence of phenomenological coefficients on state variables |
| work_keys_str_mv | AT klikav beyondonsagercasimirrelationsshareddependenceofphenomenologicalcoefficientsonstatevariables AT krausea beyondonsagercasimirrelationsshareddependenceofphenomenologicalcoefficientsonstatevariables |