Matches in SemOpenAlex for { <https://semopenalex.org/work/W2012145663> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W2012145663 endingPage "116" @default.
- W2012145663 startingPage "112" @default.
- W2012145663 abstract "The macroscopic state of a large, closed system is specified by the ensemble averages αj of a set of even dynamical variables Aj, together with the averages vj of the quantities iLAj, obtained by operating on the Aj with the self-adjoint Liouville operator L. Phenomenological equations for the time rates of change, α̇j and v̇j, are derived by a technique due to Zwanzig, in which one operates on Liouville's equation with a projection operator which projects out the part which is ``relevant'' to the phenomenological description employed. These phenomenological equations are shown to exhibit the Onsager—Casimir reciprocity relations, including antisymmetry relations whose derivation is found to require a slight modification of Zwanzig's mathematical assumptions. Since vj=α̇j, these equations also show that irreversible thermodynamics can be extended to the case where second-order time derivatives appear representing memory effects, as well as nonlinear terms in the αj, provided the equations are still required to be linear in the vj. Furthermore, Onsager's equations are obtained while allowing the phenomenological matrices to be functions of the variables αj, and not merely of constants of the motion. This serves to generalize and extend Zwanzig's earlier treatment." @default.
- W2012145663 created "2016-06-24" @default.
- W2012145663 creator A5080392481 @default.
- W2012145663 date "1964-01-01" @default.
- W2012145663 modified "2023-10-17" @default.
- W2012145663 title "Antireciprocity and Memory in the Statistical Approach to Irreversible Thermodynamics" @default.
- W2012145663 cites W2018763953 @default.
- W2012145663 cites W2044152363 @default.
- W2012145663 cites W2058447949 @default.
- W2012145663 cites W2084333107 @default.
- W2012145663 cites W2166454024 @default.
- W2012145663 cites W1990626034 @default.
- W2012145663 cites W2064694143 @default.
- W2012145663 doi "https://doi.org/10.1063/1.1724843" @default.
- W2012145663 hasPublicationYear "1964" @default.
- W2012145663 type Work @default.
- W2012145663 sameAs 2012145663 @default.
- W2012145663 citedByCount "20" @default.
- W2012145663 crossrefType "journal-article" @default.
- W2012145663 hasAuthorship W2012145663A5080392481 @default.
- W2012145663 hasConcept C104317684 @default.
- W2012145663 hasConcept C114825156 @default.
- W2012145663 hasConcept C121332964 @default.
- W2012145663 hasConcept C121864883 @default.
- W2012145663 hasConcept C138885662 @default.
- W2012145663 hasConcept C15744967 @default.
- W2012145663 hasConcept C158448853 @default.
- W2012145663 hasConcept C158622935 @default.
- W2012145663 hasConcept C169903001 @default.
- W2012145663 hasConcept C17020691 @default.
- W2012145663 hasConcept C185592680 @default.
- W2012145663 hasConcept C33923547 @default.
- W2012145663 hasConcept C37914503 @default.
- W2012145663 hasConcept C41895202 @default.
- W2012145663 hasConcept C55493867 @default.
- W2012145663 hasConcept C62520636 @default.
- W2012145663 hasConcept C74859849 @default.
- W2012145663 hasConcept C77805123 @default.
- W2012145663 hasConcept C86339819 @default.
- W2012145663 hasConcept C97355855 @default.
- W2012145663 hasConceptScore W2012145663C104317684 @default.
- W2012145663 hasConceptScore W2012145663C114825156 @default.
- W2012145663 hasConceptScore W2012145663C121332964 @default.
- W2012145663 hasConceptScore W2012145663C121864883 @default.
- W2012145663 hasConceptScore W2012145663C138885662 @default.
- W2012145663 hasConceptScore W2012145663C15744967 @default.
- W2012145663 hasConceptScore W2012145663C158448853 @default.
- W2012145663 hasConceptScore W2012145663C158622935 @default.
- W2012145663 hasConceptScore W2012145663C169903001 @default.
- W2012145663 hasConceptScore W2012145663C17020691 @default.
- W2012145663 hasConceptScore W2012145663C185592680 @default.
- W2012145663 hasConceptScore W2012145663C33923547 @default.
- W2012145663 hasConceptScore W2012145663C37914503 @default.
- W2012145663 hasConceptScore W2012145663C41895202 @default.
- W2012145663 hasConceptScore W2012145663C55493867 @default.
- W2012145663 hasConceptScore W2012145663C62520636 @default.
- W2012145663 hasConceptScore W2012145663C74859849 @default.
- W2012145663 hasConceptScore W2012145663C77805123 @default.
- W2012145663 hasConceptScore W2012145663C86339819 @default.
- W2012145663 hasConceptScore W2012145663C97355855 @default.
- W2012145663 hasIssue "1" @default.
- W2012145663 hasLocation W20121456631 @default.
- W2012145663 hasOpenAccess W2012145663 @default.
- W2012145663 hasPrimaryLocation W20121456631 @default.
- W2012145663 hasRelatedWork W1498291865 @default.
- W2012145663 hasRelatedWork W1639348599 @default.
- W2012145663 hasRelatedWork W1989003662 @default.
- W2012145663 hasRelatedWork W1995223989 @default.
- W2012145663 hasRelatedWork W2084800057 @default.
- W2012145663 hasRelatedWork W2150584470 @default.
- W2012145663 hasRelatedWork W2492452566 @default.
- W2012145663 hasRelatedWork W2964208419 @default.
- W2012145663 hasRelatedWork W3100120566 @default.
- W2012145663 hasRelatedWork W1646595185 @default.
- W2012145663 hasVolume "40" @default.
- W2012145663 isParatext "false" @default.
- W2012145663 isRetracted "false" @default.
- W2012145663 magId "2012145663" @default.
- W2012145663 workType "article" @default.