Thermostats: Analysis and application

DOI10.1063/1.166314zbMath0977.80002OpenAlexW2017974675WikidataQ54259144 ScholiaQ54259144MaRDI QIDQ2727162

Gary P. Morriss, Carl P. Dettmann

Publication date: 14 August 2001

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

Full work available at URL: https://semanticscholar.org/paper/b0492c94fc8121018c2f71e8f896f5cd2e45f576

zbMATH Keywords

Lyapunov exponentsLorentz gasNosé-Hoover thermostatnonequilibrium systemsconjugate pairing rulenonequilibrium Lorentz gasperiodic orbit expansion methods

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Foundations of thermodynamics and heat transfer (80A05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

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Cites Work

• Entropy, Lyapunov exponents, and mean free path for billiards
• Positivity of entropy production in nonequilibrium statistical mechanics
• Applications of periodic orbit theory to \(N\)-particle systems
• A dynamical partition function for the Lorentz gas.
• Synchronization of canonical measures for hyperbolic attractors
• Dynamical ensembles in nonequilibrium statistical mechanics and their representations
• Transport properties, Lyapunov exponents, and entropy per unit time
• Variational principles for thermostatted systems
• The conjugate-pairing rule for non-Hamiltonian systems
• Investigation of the Lorentz gas in terms of periodic orbits
• The nonequilibrium Lorentz gas