Ehrenfest Wind-Tree Model is Dynamically Richer Than the Lorentz Gas

Ehrenfest Wind-Tree Model is Dynamically Richer Than the Lorentz Gas

Journal of Statistical Physics, 180 (2020), 440-458 We consider a physical Ehrenfests' Wind-Tree model where a moving particle is a hard ball rather than (mathematical) point particle. We demonstrate that a physical periodic Wind-Tree model is dynamically richer than a physical or mathematical...

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Bibliographic Details
Main Authors: Attarchi, Hassan, Bolding, Mark, Bunimovich, Leonid A
Format: Journal Article
Language:English
Published: 12-08-2020
Subjects:
Mathematics - Dynamical Systems
Online Access:Get full text
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Summary:Journal of Statistical Physics, 180 (2020), 440-458 We consider a physical Ehrenfests' Wind-Tree model where a moving particle is a hard ball rather than (mathematical) point particle. We demonstrate that a physical periodic Wind-Tree model is dynamically richer than a physical or mathematical periodic Lorentz gas. Namely, the physical Wind-Tree model may have diffusive behavior as the Lorentz gas does, but it has more superdiffusive regimes than the Lorentz gas. The new superdiffusive regime where the diffusion coefficient D(t)~(ln t)^2 of dynamics seems to be never observed before in any model.
DOI:10.48550/arxiv.2008.05385