Large deviations in stochastic heat-conduction processes provide a gradient-flow structure for heat conduction

DOI10.1063/1.4894139zbMath1305.82048arXiv1403.4994OpenAlexW2114564639MaRDI QIDQ2924901

Kiamars Vafayi, Frank Redig, Mark Adriaan Peletier

Publication date: 20 October 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.4994

zbMATH Keywords

large deviationhydrodynamic limitheat-conductionBrownian processKipnis-Marchioro-Presutti process

Mathematics Subject Classification ID

Brownian motion (60J65) Heat equation (35K05) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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