The nonequilibrium Ehrenfest gas: A chaotic model with flat obstacles?

DOI10.1063/1.3085954zbMath1311.76118arXiv0811.4071OpenAlexW3103856231WikidataQ51847073 ScholiaQ51847073MaRDI QIDQ5251410

Carlo Bianca, Lamberto Rondoni

Publication date: 20 May 2015

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

Full work available at URL: https://arxiv.org/abs/0811.4071

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (15)

Minimality of the Ehrenfest wind-tree model ⋮ Ergodicity of the Ehrenfest wind-tree model ⋮ On the mathematical transport theory in microporous media: the billiard approach ⋮ Typical recurrence for the Ehrenfest wind-tree model ⋮ Onset of nonlinearity in thermostatted active particles models for complex systems ⋮ Infinite ergodic index of the Ehrenfest wind-tree model ⋮ Weyl-flow and the conformally symplectic structure of thermostatted billiards: the problem of the hyperbolicity ⋮ Ehrenfests' wind-tree model is dynamically richer than the Lorentz gas ⋮ Analysis of a chaotic memristor based oscillator ⋮ Editorial. Nonlinear dynamics in applied sciences systems: advances and perspectives ⋮ Role of ergodicity in the transient fluctuation relation and a new relation for a dissipative non-chaotic map ⋮ Dynamical analysis and numerical simulation of a new Lorenz-type chaotic system ⋮ Chaos analysis and synchronization control of coronary artery systems ⋮ Bifurcations and periodic solutions for an algae-fish semicontinuous system ⋮ Deterministic reversible model of non-equilibrium phase transitions and stochastic counterpart

Cites Work

• Unnamed Item
• Unnamed Item
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Conformally symplectic dynamics and symmetry of the Lyapunov spectrum
• The Gallavotti-Cohen fluctuation theorem for a nonchaotic model
• Dynamical ensembles in stationary states.
• Billiards in polygons: Survey of recent results.
• \(W\)-flows on Weyl manifolds and Gaussian thermostats
• Lacunarity definition for ramified data sets based on optimal cover
• Diffusion in a periodic Lorentz gas.
• Probability of second law violations in shearing steady states
• Thermodynamics and complexity of simple transport phenomena
• The nonequilibrium Lorentz gas
• Sinai billiards under small external forces

This page was built for publication: The nonequilibrium Ehrenfest gas: A chaotic model with flat obstacles?