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Theory of thermostatted inhomogeneous granular fluids: A self-consistent density functional description

机译:恒温非均质颗粒流体理论:自洽密度函数描述

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The authors present a study of the nonequilibrium 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 nonequilibrium steady state properties. A validation of the theory against molecular dynamics simulations is presented in a series of cases, and good agreement is found. (c) 2007 American Institute of Physics.
机译:作者介绍了通过非弹性碰撞并受高斯热浴作用的一维硬杆流体耗散能量的非平衡统计特性的研究,模拟了外部驱动机制。他们表明,基于单粒子相空间缩减分布函数的流体描述,由于存在依赖于速度的碰撞耗散而在原则上是必要的,因此可以简化为构造空间中的简单描述。的确,作者通过多重时间尺度方法得出了粒子密度分布函数的自洽控制方程。该方程式与胶体研究中使用的动态密度泛函方程式相似,但包含考虑流体非弹性性质的附加项。这些术语不能从产生功能的Liapunov派生而出,不仅有助于松弛特性,而且有助于非平衡稳态特性。在一系列情况下,针对分子动力学模拟对该理论进行了验证,并且发现了很好的一致性。 (c)2007年美国物理研究所。

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