摘要翻译：
本文考虑D维非弹性麦克斯韦模型的Boltzmann方程，分析了近于简单剪切流动的空间非均匀状态下的输运性质。通过Chapman-Enskog展开，得到了局部剪切流场f^{(0)}附近的正规解，该分布保持了剪切速率中的所有流体力学级。在水动力场梯度与参考状态下的热通量和动量通量的偏差下，得到了一阶本构方程，并用恢复系数α和剪切速率a精确地确定了相应的广义输运系数。由于f{（0）}适用于任意剪切速率值，且不限于弱耗散，输运系数是参数a和α的非线性函数。本文还与以往由玻尔兹曼方程动力学模型得到的非弹性硬球的结果进行了比较。
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英文标题：
《Shear-rate dependent transport coefficients for inelastic Maxwell models》
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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：
  The Boltzmann equation for d-dimensional inelastic Maxwell models is considered to analyze transport properties in spatially inhomogeneous states close to the simple shear flow. A normal solution is obtained via a Chapman--Enskog--like expansion around a local shear flow distribution f^{(0)} that retains all the hydrodynamic orders in the shear rate. The constitutive equations for the heat and momentum fluxes are obtained to first order in the deviations of the hydrodynamic field gradients from their values in the reference state and the corresponding generalized transport coefficients are {\em exactly} determined in terms of the coefficient of restitution \alpha and the shear rate a. Since f^{(0)} applies for arbitrary values of the shear rate and is not restricted to weak dissipation, the transport coefficients turn out to be nonlinear functions of both parameters a and \alpha. A comparison with previous results obtained for inelastic hard spheres from a kinetic model of the Boltzmann equation is also carried out.
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PDF链接：
https://arxiv.org/pdf/705.0092