A law of order estimation and leading-order terms for a family of averaged quantities on a multibaker chain system

DOI10.1063/1.4883397zbMath1296.82047arXiv1311.5667OpenAlexW1979473506MaRDI QIDQ5171412

Hideshi Ishida

Publication date: 26 July 2014

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

Full work available at URL: https://arxiv.org/abs/1311.5667

zbMATH Keywords

entropydiffusionirreversible thermodynamicsprobability theoryFokker Planck equation

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Measures of information, entropy (94A17) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Cites Work

• Unnamed Item
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• Chaos, spatial extension, transport, and nonequilibrium thermodynamics
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• Entropy production: From open volume-preserving to dissipative systems
• Fick's law and fractality of nonequilibrium stationary states in a reversible multibaker map.
• Equivalence of Irreversible Entropy Production in Driven Systems: An Elementary Chaotic Map Approach
• Entropy balance, time reversibility, and mass transport in dynamical systems
• Chaos, Scattering and Statistical Mechanics
• Modeling thermostating, entropy currents, and cross effects by dynamical systems

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