Escherfest风树模型比Lorentz气体动力学更丰富
Ehrenfest Wind-Tree Model is Dynamically Richer Than the Lorentz Gas
摘要：
我们考虑一个物理的Escherfests的风树模型，其中运动的粒子是一个硬球，而不是（数学）点粒子。我们证明了一个物理周期风树模型是动态丰富的物理或数学周期洛伦兹气体。也就是说，物理风树模型可能像洛伦兹气体一样具有扩散行为，但它比洛伦兹气体具有更多的超扩散区域。新的超扩散区，其中动力学的扩散系数D（t）~（ln t）^2似乎在任何模型中都从未被观测到。
英文摘要：
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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