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arXiv · 2008.05385

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

Hassan Attarchi·Mark Bolding·Leonid A. Bunimovich
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Abstract

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.

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Hassan Attarchi, Mark Bolding, Leonid A. Bunimovich. 2020-08-12. Ehrenfest Wind-Tree Model is Dynamically Richer Than the Lorentz Gas. https://doi.org/10.1007/s10955-019-02460-8

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