Kinematics, equilibrium, and shape in Hamiltonian systems: The “LAB” effect

DOI10.1063/1.1598411zbMath1080.82547OpenAlexW2022429877WikidataQ52009982 ScholiaQ52009982MaRDI QIDQ5706394

Leonid A. Bunimovich

Publication date: 7 November 2005

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

Full work available at URL: https://doi.org/10.1063/1.1598411

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Foundations of time-dependent statistical mechanics (82C03) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (6)

Two-particle circular billiards versus randomly perturbed one-particle circular billiards ⋮ Stickiness in mushroom billiards ⋮ One-particle and few-particle billiards ⋮ Tilted-hat mushroom billiards: web-like hierarchical mixed phase space ⋮ Statistical properties of billiards in polytopes ⋮ Fine structure of sticky sets in mushroom billiards

Cites Work

• Ergodic systems of \(n\) balls in a billiard table
• Big islands in dispersing billiard-like potentials
• Non-ergodicity of two particles interacting via a smooth potential
• Elliptic islands appearing in near-ergodic flows
• THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN
• Mushrooms and other billiards with divided phase space

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