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A generalization of Onsager's reciprocity relations to gradient flows with nonlinear mobility
| dc.bibliographicCitation.journalTitle | Journal of Non-Equilibrium Thermodynamics | eng |
| dc.contributor.author | Mielke, Alexander | |
| dc.contributor.author | Peletier, Mark A. | |
| dc.contributor.author | Renger, D.R. Michiel | |
| dc.date.accessioned | 2017-01-04T16:10:00Z | |
| dc.date.available | 2019-06-28T08:04:08Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | nsager's 1931 `reciprocity relations' result connects microscopic time-reversibility with a symmetry property of corresponding macroscopic evolution equations. Among the many consequences is a variational characterization of the macroscopic evolution equation as a gradient-flow, steepest-ascent, or maximal-entropy-production equation. Onsager's original theorem is limited to close-to-equilibrium situations, with a Gaussian invariant measure and a linear macroscopic evolution. In this paper we generalize this result beyond these limitations, and show how the microscopic time-reversibility leads to natural generalized symmetry conditions, which take the form of generalized gradient flows. | eng |
| dc.description.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2149 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : de Gruyter | eng |
| dc.relation.doi | https://doi.org/10.1515/jnet-2015-0073 | |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | eng |
| dc.subject.other | Gradient flows | eng |
| dc.subject.other | generalized gradient flows | eng |
| dc.subject.other | large deviations | eng |
| dc.subject.other | symmetry | eng |
| dc.subject.other | microscopic reversibility | eng |
| dc.title | A generalization of Onsager's reciprocity relations to gradient flows with nonlinear mobility | eng |
| dc.type | Article | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Zeitschriftenartikel | eng |