摘要翻译：
本文研究了一维硬杆流体在高斯热浴作用下非弹性碰撞耗能的非平衡统计性质，模拟了外驱动机制。它们表明，基于单粒子相空间简化分布函数的流体描述，由于存在与速度相关的碰撞耗散，在原理上是必要的，可以收缩为组态空间中更简单的描述。通过多重时间尺度方法，作者得到了粒子密度分布函数的自洽控制方程。这个方程类似于胶体研究中使用的动态密度泛函方程，但包含考虑流体非弹性性质的附加项。这些项不能从Liapunov生成泛函中导出，它们不仅对弛豫性质有贡献，而且对非平衡稳态性质也有贡献。通过一系列的分子动力学模拟，验证了该理论，并发现了很好的一致性。
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英文标题：
《Theory of thermostatted inhomogeneous granular fluids: a self-consistent
  density functional description》
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作者：
Umberto Marini-Bettolo-Marconi, Pedro Tarazona, Fabio Cecconi
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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：Materials Science        材料科学
分类描述：Techniques, synthesis, characterization, structure.  Structural phase transitions, mechanical properties, phonons. Defects, adsorbates, interfaces
技术，合成，表征，结构。结构相变，力学性质，声子。缺陷，吸附质，界面
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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：
  The authors present a study of the non equilibrium statistical properties of a one dimensional hard-rod fluid dissipating energy via inelastic collisions and subject to the action of a Gaussian heat bath, simulating an external driving mechanism. They show that the description of the fluid based on the one-particle phase-space reduced distribution function, in principle necessary because of the presence of velocity dependent collisional dissipation, can be contracted to a simpler description in configurational space. Indeed, by means of a multiple-time scale method the authors derive a self-consistent governing equation for the particle density distribution function. This equation is similar to the dynamic density functional equation employed in the study of colloids, but contains additional terms taking into account the inelastic nature of the fluid. Such terms cannot be derived from a Liapunov generating functional and contribute not only to the relaxational properties, but also to the non equilibrium steady state properties. A validation of the theory against molecular dynamics simulations is presented in a series of cases, and good agreement is found.
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PDF链接：
https://arxiv.org/pdf/705.1762