Field-theoretic thermodynamic uncertainty relation. General formulation exemplified with the Kardar-Parisi-Zhang equation

DOI10.1007/s10955-019-02479-xzbMath1437.82018arXiv1908.05560OpenAlexW3003542273MaRDI QIDQ1984818

Udo Seifert, Oliver Niggemann

Publication date: 7 April 2020

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

Full work available at URL: https://arxiv.org/abs/1908.05560

zbMATH Keywords

Kardar-Parisi-Zhang equationfield theorynon-equilibrium dynamicsthermodynamic uncertainty relation

Mathematics Subject Classification ID

Model quantum field theories (81T10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) PDEs in connection with statistical mechanics (35Q82)

Related Items (8)

The two scaling regimes of the thermodynamic uncertainty relation for the KPZ-equation ⋮ The nonequilibrium potential today: a short review ⋮ Variational approach to KPZ: Fluctuation theorems and large deviation function for entropy production ⋮ Numerical study of the thermodynamic uncertainty relation for the KPZ-equation ⋮ Large deviations at level 2.5 for Markovian open quantum systems: quantum jumps and quantum state diffusion ⋮ Steady state entropy production rate for scalar Langevin field theories ⋮ Uncertainty relations for mesoscopic coherent light ⋮ Quality of the thermodynamic uncertainty relation for fast and slow driving

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