Entropy productions in dissipative systems

DOI10.1090/PROC/14618zbMath1436.37010OpenAlexW2923180505MaRDI QIDQ5238101

Shirou Wang, Yingfei Yi, Hong Qian

Publication date: 28 October 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14618

zbMATH Keywords

entropy productionShannon entropydissipative systemnon-equilibrium thermodynamics

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Foundations of thermodynamics and heat transfer (80A05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Dynamical aspects of statistical mechanics (37A60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the mechanical foundations of thermodynamics: the generalized Helmholtz theorem
• Ruelle inequality of folding type for \(C^{1+\alpha}\) maps
• Time-reversed dynamical entropy and irreversibility in Markovian random processes
• Positivity of entropy production in nonequilibrium statistical mechanics
• Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures
• Entropy production in nonequilibrium statistical mechanics
• Ruelle inequality relating entropy, folding entropy and negative Lyapunov exponents
• Mathematical theory of nonequilibrium steady states. On the frontier of probability and dynamical systems.
• Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators.
• Integral identity and measure estimates for stationary Fokker-Planck equations
• Weak convergence of solutions of the Liouville equation for nonlinear Hamiltonian systems
• Note on phase space contraction and entropy production in thermostatted Hamiltonian systems
• A dynamical-systems interpretation of the dissipation function, T-mixing and their relation to thermodynamic relaxation
• New Approach to Nonequilibrium Processes
• Entropy production and information gain in axiom-A systems

This page was built for publication: Entropy productions in dissipative systems