Global Pressure of One-Dimensional Polydisperse Granular Gases Driven by Gaussian White Noise |
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Authors: | CHEN Zhi-Yuan ZHANG Duan-Ming YANG Feng-Xia HUANG Ming-Tao LI Rui ZHANG Ling ZHU Hong-Ying |
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Affiliation: | 1. Department of Physics, Huazhong University of Scienceand Technology, Wuhan 430074, China;2. Department of Physics, Xianning College, Xianning 437005, China |
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Abstract: | We study the global pressure of a one-dimensional polydisperse granular gases system for the first time, in which the size distribution of particles has the fractal characteristic and the inhomogeneity is described by a fractal dimension D. The particles are driven by Gaussian white noise and subject to inelastic mutual collisions. We define the global pressure P of the system as the impulse transferred across a surface in a unit of time, which has two contributions, one from the translational motion of particles and the other from the collisions. Explicit expression for the global pressure in the steady state is derived. By molecular dynamics simulations, we investigate how the inelasticity of collisions and the inhomogeneity of the particles influence the global pressure. The simulation results indicate that the restitution coefficient e and the fractal dimension D have significant effect on the pressure. |
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Keywords: | global pressure restitution coefficient e fractal dimension D Gaussian white noise polydisperse granular gases |
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