Critical behaviour and intermittency in Sinai's billiard
type: Item
instance of: scholarly article
title: Critical behaviour and intermittency in Sinai's billiard
zbMATH Open document ID: 0594.58047
DOI: 10.1016/0167-2789(86)90037-0
published in: Physica D
publication date: 1986-01-01T00:00:00Z
review text: The paper contains numerical studies on Sinai's billiard when the circles come into contact: the rate of collision with the circles, Lyapunov exponent, velocity auto-correlation function with respect to the number of collisions (resp. with respect to time), length of a path between two successive collisions. Some physical and ergodic theoretical explanations are given.
Mathematics Subject Classification ID: 37N99
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 28D10
zbMATH DE Number: 3956062
zbMATH Keywords: path length
zbMATH Keywords: Sinai's billiard
zbMATH Keywords: rate of collision
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: velocity auto-correlation function
author: Jean-Philippe Bouchaud
author: Pierre Le Doussal
reviewed by: Manfred Denker
MaRDI profile type: Publication
full work available at URL: 0167-2789(86)90037-0
OpenAlex ID: W2008486000
cites work: Dynamical systems with elastic reflections
cites work: Intermittency in the presence of noise
cites work: The complete set of Hamiltonian intermittency scaling behaviors
cites work: Power-law behavior of Lyapunov exponents in some conservative dynamical systems
cites work: Equilibrium states and the ergodic theory of Anosov diffeomorphisms
cites work: Metastable behavior of stochastic dynamics: A pathwise approach
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description: scientific article; zbMATH DE number 3956062