The conjugate-pairing rule for non-Hamiltonian systems

DOI10.1063/1.166315zbMath0986.76072OpenAlexW2020887192WikidataQ52015469 ScholiaQ52015469MaRDI QIDQ4515078

Debra J. Searles, Dennis J. Isbister, Denis J. Evans

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://doi.org/10.1063/1.166315

zbMATH Keywords

transport coefficientsLyapunov exponentsentropy productionmolecular dynamicsviscosity algorithmnon-Hamiltonian systemsconjugate pairing rulenecesary conditionssum of maximal exponents

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Stochastic analysis applied to problems in fluid mechanics (76M35)

Related Items

Thermostats: Analysis and application, Fluctuation relation beyond linear response theory, Homogeneous non-equilibrium molecular dynamics simulations of viscous flow: techniques and applications

Cites Work

• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Non-equilibrium molecular dynamics integrators using Maple
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• Symmetry of Lyapunov spectrum
• Transport properties, Lyapunov exponents, and entropy per unit time
• Ergodic theory of chaos and strange attractors