A remark on the strict positivity of the entropy production

DOI10.1007/s11005-005-0035-5zbMath1108.81026arXivmath-ph/0507009OpenAlexW3105528133MaRDI QIDQ2433130

Walter H. Aschbacher, Herbert Spohn

Publication date: 27 October 2006

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

Full work available at URL: https://arxiv.org/abs/math-ph/0507009

zbMATH Keywords

entropy productionnon-equilibrium steady stateweak coupling theory

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) General theory of (C^*)-algebras (46L05) Transport processes in time-dependent statistical mechanics (82C70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Measures of information, entropy (94A17)

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Cites Work

• Markovian master equations
• An algebraic condition for the approach to equilibrium of an open N-level system
• Entropy production in nonlinear, thermally driven Hamiltonian systems
• Non-equilibrium steady states of finite quantum systems coupled to thermal reservoirs
• Mathematical theory of non-equilibrium quantum statistical mechanics
• Non-equilibrium steady states of the \(XY\) chain
• Entropy production in quantum spin systems