\(W\)-flows on Weyl manifolds and Gaussian thermostats

DOI10.1016/S0021-7824(00)00176-8zbMath0969.37017OpenAlexW2034585515WikidataQ125966230 ScholiaQ125966230MaRDI QIDQ1593841

Maciej P. Wojtkowski

Publication date: 25 September 2001

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(00)00176-8

zbMATH Keywords

Lorentz gasgeodesic flowshyperbolic flowsWeyl manifoldSinai billiardsGaussian thermostatsisokinetic dynamics

Mathematics Subject Classification ID

Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (15)

Integrability via reversibility ⋮ Vortices over Riemann surfaces and dominated splittings ⋮ On the mathematical transport theory in microporous media: the billiard approach ⋮ Entropy production in Gaussian thermostats ⋮ Weyl-flow and the conformally symplectic structure of thermostatted billiards: the problem of the hyperbolicity ⋮ Infinitesimal Lyapunov functions for singular flows ⋮ Particle drift in self-similar billiards ⋮ Holomorphic differentials, thermostats and Anosov flows ⋮ Weyl metrisability of two-dimensional projective structures ⋮ Homogeneous Weyl connections of non-positive curvature ⋮ Lyapunov functions and cone families ⋮ Entropy production in thermostats. II ⋮ Gaussian thermostats as geodesic flows of nonsymmetric linear connections ⋮ CONDUCTIVITY OF THE SELF-SIMILAR LORENTZ CHANNEL ⋮ The nonequilibrium Ehrenfest gas: A chaotic model with flat obstacles?

This page was built for publication: \(W\)-flows on Weyl manifolds and Gaussian thermostats