低密度二元颗粒混合物的动力学理论

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摘要翻译：
颗粒介质的许多特征可以被描述为具有{\em非弹性}碰撞的硬球流体。在快速流动条件下，晶粒的宏观行为可以通过流体力学方程来描述。在低密度下，玻尔兹曼动力学理论为推导流体动力学方程和其中的输运系数的显式表达式提供了一个基本的基础，该理论可以方便地修正以解释非弹性二元碰撞。本章的目标是给出一个利用动力学理论工具对二元颗粒气体的最新进展的概述。其中一些结果涵盖了输运性质、能量非均分、不稳定性、偏析或混合、非牛顿行为等方面。此外，还与蒙特卡罗和分子动力学模拟的结果进行了比较，表明动力学理论在描述强耗散条件下的颗粒流动时是可靠的。
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英文标题：
《Kinetic Theory for Binary Granular Mixtures at Low-Density》
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作者：
Vicente Garzo
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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：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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一级分类：Physics        物理学
二级分类：Soft Condensed Matter        软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
--

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英文摘要：
  Many features of granular media can be modelled as a fluid of hard spheres with {\em inelastic} collisions. Under rapid flow conditions, the macroscopic behavior of grains can be described through hydrodynamic equations. At low-density, a fundamental basis for the derivation of the hydrodynamic equations and explicit expressions for the transport coefficients appearing in them is provided by the Boltzmann kinetic theory conveniently modified to account for inelastic binary collisions. The goal of this chapter is to give an overview of the recent advances made for binary granular gases by using kinetic theory tools. Some of the results presented here cover aspects such as transport properties, energy nonequipartition, instabilities, segregation or mixing, non-Newtonian behavior, .... In addition, comparison of the analytical results with those obtained from Monte Carlo and molecular dynamics simulations is also carried out, showing the reliability of kinetic theory to describe granular flows even for strong dissipation.
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PDF链接：
https://arxiv.org/pdf/704.1211

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关键词：动力学 学理论 混合物 coefficients equilibrium 条件 均分 行为 hydrodynamic behavior