Mielke, A. and Peletier, M. A. and Renger, M. (2015) A generalization of Onsager's reciprocity relations to gradient flows with nonlinear mobility. Journal of NonEquilibrium Thermodynamics . (Submitted)

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Abstract
Onsager's 1931 `reciprocity relations' result connects microscopic timereversibility with a symmetry property of corresponding macroscopic evolution equations. Among the many consequences is a variational characterization of the macroscopic evolution equation as a gradientflow, steepestascent, or maximalentropyproduction equation. Onsager's original theorem is limited to closetoequilibrium 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 timereversibility leads to natural generalized symmetry conditions, which take the form of generalized gradient flows.
Item Type:  Article 

Additional Information:  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:  19 Jul 2017 12:31 
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