Modeling thermostating, entropy currents, and cross effects by dynamical systems

DOI10.1023/A:1026499113431zbMath1090.82511arXivnlin/0001016OpenAlexW1624654875MaRDI QIDQ5935843

László Mátyás, Jürgen Vollmer, Tamás Tél

Publication date: 2000

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

Full work available at URL: https://arxiv.org/abs/nlin/0001016

zbMATH Keywords

deterministic chaosentropy balancemultibaker mapsspatial extensionthermoelectric cross effectsthermostating

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Diffusive Lorentz gases and multibaker maps are compatible with irreversible thermodynamics ⋮ Symmetry-based balance equation for local entropy density in a dissipative multibaker chain system ⋮ Dynamical-system models of transport: chaos characteristics, the macroscopic limit, and irre\-versibility ⋮ A law of order estimation and leading-order terms for a family of averaged quantities on a multibaker chain system ⋮ Chaos, spatial extension, transport, and nonequilibrium thermodynamics ⋮ QUANTUM MAPS WITH SPACE EXTENT: A PARADIGM FOR LATTICE QUANTUM WALKS

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