Chaos and irreversibility in simple model systems

DOI10.1063/1.166318zbMath0986.37023OpenAlexW2059482096WikidataQ46908052 ScholiaQ46908052MaRDI QIDQ4515077

William G. Hoover, Harald A. Posch

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/ac8b1249d0e261d9dbbb3e4ae0bc994ef7c80e6c

zbMATH Keywords

baker mapthermodynamic irreversibilityGalton boardchaotic time-reversible mechanicsmacroscopic thermodynamic dissipationmany-body color conductivitymicroscopic nonequilibrium Lyapunov spectrathermostated model systems

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems in classical and celestial mechanics (37N05)

Related Items

Numerical irreversibility in time-reversible molecular dynamics simulation, Dynamical-system models of transport: chaos characteristics, the macroscopic limit, and irre\-versibility, Nonequilibrium molecular dynamics, fractal phase-space distributions, the Cantor set, and puzzles involving information dimensions for two compressible baker maps, Lyapunov instability of two-dimensional fluids: Hard dumbbells, Character of fluctuations in deterministically thermostatted nonequilibrium systems, Chaos, spatial extension, transport, and nonequilibrium thermodynamics, Stationary nonequilibrium states in boundary-driven Hamiltonian systems: Shear flow, Entropy balance, time reversibility, and mass transport in dynamical systems

Cites Work

• Entropy production in open volume-preserving systems
• Time-reversible continuum mechanics.
• Fick's law and fractality of nonequilibrium stationary states in a reversible multibaker map.
• Diffusion in a periodic Lorentz gas.
• Molecular dynamics and time reversibility
• Probability of second law violations in shearing steady states
• Transport properties, Lyapunov exponents, and entropy per unit time
• Equivalence of Irreversible Entropy Production in Driven Systems: An Elementary Chaotic Map Approach