Entropy balance, time reversibility, and mass transport in dynamical systems

DOI10.1063/1.166322zbMath0986.37011OpenAlexW2058717119WikidataQ35142439 ScholiaQ35142439MaRDI QIDQ4515073

Wolfgang Breymann, Jürgen Vollmer, Tamás Tél

Publication date: 12 November 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/502c15b622d50878c2f270b8dbaba6d34e54db70

zbMATH Keywords

thermodynamicsentropy balancecoarse grainingirreversible entropy productiongeneralized multibaker maplocal phase-space density

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Transport processes in time-dependent statistical mechanics (82C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99) Dynamical aspects of statistical mechanics (37A60)

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Cites Work

• SRB states and nonequilibrium statistical mechanics close to equilibrium
• Thermodynamics formalism and localization in Lorentz gases and hopping models
• Lyapunov instability of the boundary-driven Chernov-Lebowitz model for stationary shear flow
• Positivity of entropy production in nonequilibrium statistical mechanics
• Diffusion, effusion, and chaotic scattering: An exactly solvable Liouvillian dynamics
• Dynamical ensembles in stationary states.
• Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem.
• Viscosity for a periodic two disk fluid: An existence proof
• Diffusion in a periodic Lorentz gas.
• Thermostats: Analysis and application
• Note on phase space contraction and entropy production in thermostatted Hamiltonian systems
• Probability of second law violations in shearing steady states
• Foundations of Statistical Mechanics
• Equivalence of Irreversible Entropy Production in Driven Systems: An Elementary Chaotic Map Approach
• Probabilistic and thermodynamic aspects of dynamical systems
• An analytical construction of the SRB measures for Baker-type maps
• Chaotic and fractal properties of deterministic diffusion-reaction processes
• Chaos and irreversibility in simple model systems