摘要翻译：
由玻尔兹曼动力学方程精确地确定了均匀剪切流动下麦克斯韦分子二元混合物的输运系数。通过Chapman-Enskog展开，得到了局部剪切流分布的正规解，该分布保留了剪切速率中的所有流体力学级。在一级展开式中，质量通量与摩尔分数梯度、压力梯度和温度梯度成正比，但由于剪切流在体系中引起的各向异性，相互扩散张量、压力扩散张量和热扩散张量被识别出来，而不是传统的标量系数。这些张量是根据剪切速率和混合物的参数（颗粒质量、浓度和力常数）得到的。在计算机模拟中引入外部恒温器以补偿粘性加热的情况下，描述都是在没有和存在的情况下进行的。正如预期的那样，分析表明，有无恒温器的结果之间不存在简单的关系。在示踪极限情况下，说明了三个扩散张量对剪切速率的依赖关系，结果表明广义输运系数偏离平衡形式通常是相当重要的。最后，从Boltzmann方程的模型动力学方程计算了与动量和热输运相关的广义输运系数。
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英文标题：
《Mass transport in a strongly sheared binary mixture of Maxwell molecules》
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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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英文摘要：
  Transport coefficients associated with the mass flux of a binary mixture of Maxwell molecules under uniform shear flow are exactly determined from the Boltzmann kinetic equation. A normal solution is obtained via a Chapman--Enskog-like expansion around a local shear flow distribution that retains all the hydrodynamics orders in the shear rate. In the first order of the expansion the mass flux is proportional to the gradients of mole fraction, pressure, and temperature but, due to the anisotropy induced in the system by the shear flow, mutual diffusion, pressure diffusion and thermal diffusion tensors are identified instead of the conventional scalar coefficients. These tensors are obtained in terms of the shear rate and the parameters of the mixture (particle masses, concentrations, and force constants). The description is made both in the absence and in the presence of an external thermostat introduced in computer simulations to compensate for the viscous heating. As expected, the analysis shows that there is not a simple relationship between the results with and without the thermostat. The dependence of the three diffusion tensors on the shear rate is illustrated in the tracer limit case, the results showing that the deviation of the generalized transport coefficients from their equilibrium forms is in general quite important. Finally, the generalized transport coefficients associated with the momentum and heat transport are evaluated from a model kinetic equation of the Boltzmann equation.
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PDF链接：
https://arxiv.org/pdf/709.1055