Renger, M. (2018) Gradient and Generic systems in the space of fluxes, applied to reacting particle systems. SFB 1114 Preprint in arXiv:1806.10461 . pp. 129. (Unpublished)

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Official URL: https://arxiv.org/abs/1806.10461
Abstract
In a previous work we devised a framework to derive generalised gradient systems for an evolution equation from the large deviations of an underlying microscopic system, in the spirit of the OnsagerMachlup relations. Of particular interest is the case where the microscopic system consists of random particles, and the macroscopic quantity is the empirical measure or concentration. In this work we take the particle flux as the macroscopic quantity, which is related to the concentration via a continuity equation. By a similar argument the large deviations can induce a generalised gradient or Generic system in the space of fluxes. In a general setting we study how flux gradient or generic systems are related to gradient systems of concentrations. The arguments are explained by the example of reacting particle systems, which is later expanded to include spatial diffusion as well.
Item Type:  Article 

Subjects:  Mathematical and Computer Sciences > Mathematics 
ID Code:  2260 
Deposited By:  Silvia Hoemke 
Deposited On:  18 Jul 2018 08:25 
Last Modified:  14 Aug 2018 14:06 
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