Ehrenfests’ Wind–Tree Model is Dynamically Richer than the Lorentz Gas
Ehrenfests’ Wind–Tree Model is Dynamically Richer than the Lorentz Gas
复制标题
Ehrenfests 的风树模型比洛伦兹气体的动态更丰富
DOI：
--
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发表时间：
2019
影响因子：
1.6
通讯作者：
L. Bunimovich
中科院分区：
文献类型：
--
作者：
H. Attarchi;M. Bolding;L. Bunimovich
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)∼(lnt)2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$D(t)sim (ln t)^2$$end{document} of dynamics seems to be never observed before in any model.
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)∼(lnt)2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$D(t)sim (ln t)^2$$end{document} of dynamics seems to be never observed before in any model.