Fundamental research on dynamics of dissipative particles

在这个研究项目中，我研究的是颗粒材料的物理，作为耗散粒子的统计动力学的一个课题。本项目包括时间反转对称动力学耗散起源的研究。因此，该工程可视为非平衡统计力学的一部分。我几乎完成了(1)弹性粒子的接触和非弹性碰撞：耗散的起源是什么？(2)稀薄气体的热传导问题：非平衡稳态的边界层分析和统计力学；(3)格上不对称简单不相容过程（ASEP）的统计力学研究；(5)本项目颗粒流的功率谱。此外，我还在继续研究微重力环境下颗粒气体的实验设计及其相应的颗粒颗粒模拟、颗粒剪切流动理论、细观系统非弹性碰撞理论与模拟。借助这个项目的研究成果，我想继续“非平衡统计力学的动力学方法”的研究。

In this research project, I have studied physics of granular materials as a subject of statistical dynamics of dissipative particles. This project includes the research of the origin of dissipation from the dynamics of time-reversal symmetry. Thus, the project can be regarded as a part of non-equilibrium statistical mechanics.I have almost completed (1)contact and inelastic collisions of elastic particles : what is the origin of dissipation?, (2)the problem of heat conduction of rarefied gases : the boundary layer analysis and statistical mechanics of non-equilibrium steady state, (3)the study on statistical mechanics of asymmetric simple exclusion processes (ASEP) on lattices, (5)power spectra of granular flows within this project. In addition, I am also still continuing research on an experimental design of granular gases in a micro-gravity environment and its corresponding simulation of granular particles, theory of granular shear flow, and the theory and simulation of inelastic collisions in mesocopic systems. With the aid of the results of this research project, I would like to continue the research on "kinetic approach to nonequilibrium statistical mechanics".