论文标题
Ehrenfest风树模型在动态上比Lorentz气体更丰富
Ehrenfest Wind-Tree Model is Dynamically Richer Than the Lorentz Gas
论文作者
论文摘要
我们考虑了一个物理eHrenfest的风树模型，其中移动粒子是硬球，而不是（数学）点粒子。我们证明了物理周期性风树模型在动态上比物理或数学周期性Lorentz气体更丰富。也就是说，物理风树模型可能像Lorentz气体一样具有扩散的行为，但与Lorentz气体相比，它具有更高的超级固定方式。在任何模型中，在任何模型中似乎从未观察到动力学的扩散系数d（t）〜（ln t）^2，新的超级散发状态。
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.
