Stationary nonequilibrium states in boundary-driven Hamiltonian systems: Shear flow

DOI10.1007/BF02183610zbMath0935.82020arXivcond-mat/9703097OpenAlexW1976573198MaRDI QIDQ1285345

Joel L. Lebowitz, Nikolai I. Chernov

Publication date: 9 May 2000

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9703097

zbMATH Keywords

entropy productionshear flowdeterministic dynamicsMaxwell-demon boundary conditionsspace-phase volume concentration

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items

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, On the (Boltzmann) entropy of non-equilibrium systems, Simulations of transport in hard particle systems, Entropy production for a class of inverse SRB measures, Transport processes from mechanics: minimal and simplest models, Stable regimes for hard disks in a channel with twisting walls, Entropy, Lyapunov exponents, and mean free path for billiards, Dynamical ensembles in stationary states., Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem., (Global and local) fluctuations of phase space contraction in deterministic stationary nonequilibrium

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Irreversible Gibbsian ensembles
• On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions
• Lyapunov instability of the boundary-driven Chernov-Lebowitz model for stationary shear flow
• Hydrodynamical limit for a Hamiltonian system with weak noise
• Hydrodynamic limit of the stationary Boltzmann equation in a slab
• Reversibility, coarse graining and the chaoticity principle
• Dynamical ensembles in stationary states.
• Billiards correlation functions
• Microscopic models of hydrodynamic behavior.
• Probability of second law violations in shearing steady states
• Dimension, entropy and Lyapunov exponents
• Markov partitions and shadowing for non-uniformly hyperbolic systems with singularities
• Chaos and irreversibility in simple model systems
• Pattern formation outside of equilibrium
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms