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摘要翻译：
通过数值模拟和动力学理论论证，研究了布朗运动的两种确定性模型。第一个模型由一个沉重的硬盘浸入一种稀薄的气体中，由更小和更轻的硬盘组成，充当热浴。第二个是相同的，除了粒子的形状，现在是正方形。这两个系统的基本区别在于相互作用：硬核弹性碰撞使圆盘的动力学混沌，而正方形的动力学不混沌。结果表明，无论是混沌模型还是非混沌模型，重杂质的扩散系数、速度关联式和响应函数都与动力学理论一致。然而，到平衡的弛豫对相互作用的类型非常敏感。这些观测结果被用来重新考虑和讨论与混沌、统计力学和扩散有关的一些问题。
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英文标题：
《Transport properties in chaotic and non-chaotic many particles systems》
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作者：
Fabio Cecconi, Massimo Cencini, Angelo Vulpiani
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Chaotic Dynamics 混沌动力学
分类描述：Dynamical systems, chaos, quantum chaos, topological dynamics, cycle expansions, turbulence, propagation
动力系统，混沌，量子混沌，拓扑动力学，循环展开，湍流，传播
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
Two deterministic models for Brownian motion are investigated by means of numerical simulations and kinetic theory arguments. The first model consists of a heavy hard disk immersed in a rarefied gas of smaller and lighter hard disks acting as a thermal bath. The second is the same except for the shape of the particles, which is now square. The basic difference of these two systems lies in the interaction: hard core elastic collisions make the dynamics of the disks chaotic whereas that of squares is not. Remarkably, this difference is not reflected in the transport properties of the two systems: simulations show that the diffusion coefficients, velocity correlations and response functions of the heavy impurity are in agreement with kinetic theory for both the chaotic and the non-chaotic model. The relaxation to equilibrium, however, is very sensitive to the kind of interaction. These observations are used to reconsider and discuss some issues connected to chaos, statistical mechanics and diffusion.
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PDF链接：
https://arxiv.org/pdf/712.0467
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