Repository: Freie Universit├Ąt Berlin, Math Department

A generalization of Onsager's reciprocity relations to gradient flows with nonlinear mobility

Mielke, A. and Peletier, M. A. and Renger, M. (2016) A generalization of Onsager's reciprocity relations to gradient flows with nonlinear mobility. Journal of Non-Equilibrium Thermodynamics, 41 (2).

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Official URL: https://dx.doi.org/10.1515/jnet-2015-0073

Abstract

Onsager'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.

Item Type:Article
Additional Information:SFB 1114 Preprint 10/2015 in arXiv:1510.06219 -- accepted for publication in proceedings of the IWNET Workshop
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
ID Code:1890
Deposited By: Ulrike Eickers
Deposited On:16 Mar 2016 18:47
Last Modified:12 Dec 2017 13:58

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