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Kinetic Approach to One-Dimensional Non-Uniform Granular Gases | |
Zhang DM; Li R; Su XY; Pan GJ; Yu BM(郁伯铭); Zhang, DM (reprint author), Huazhong Univ Sci & Technol, Dept Phys, 1037 Luoyu Rd, Wuhan 430074, Peoples R China. | |
Source Publication | Journal of Physics A-Mathematical and General
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2005 | |
Volume | 38Issue:41Pages:8861-8872 |
ISSN | 0305-4470 |
Abstract | We present a model of polydisperse granular mixture with a power-law size distribution subjected to Brownian forces. The driven inelastic mixture which has n components can be regarded as 'granular gas'. The stationary state where the mixture reaches is the result of the balance between the dissipation and random forces which inject energies. We have studied the nonequilibrium properties of the system by means of Monte Carlo method. When the typical relaxation time tau of the driving Brownian process is greater than the mean collision time tau(c), the velocity probability distribution strongly deviates from the Gaussian one and the system has a strong spatial clustering. We define the partial granular temperature and the global granular temperature of the multi-component mixture. The partial granular temperature is the average kinetic energy per particle of the same component and the global one is the statistic average value per partial granular temperature of the mixture. One of the most useful properties of the temperature, i.e., the independence from the thermal substance, is lost. We introduce a fractal dimension D as a measurement of the inhomogeneity of the size distribution of the mixture. Our simulations represent that the deviation and clusterization become more and more pronounced with the increasing value of the fractal dimension D. The global granular temperature decreases, and dissipated energy per particle increases as D augments. |
Subject Area | 力学 |
DOI | 10.1088/0305-4470/38/41/003 |
Indexed By | SCI |
Language | 英语 |
WOS ID | WOS:000233112500005 |
WOS Keyword | EFFECTIVE THERMAL-CONDUCTIVITY ; PARTICLES ; FLOWS ; HYDRODYNAMICS ; COLLAPSE |
WOS Research Area | Physics |
WOS Subject | Physics, Multidisciplinary ; Physics, Mathematical |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/15715 |
Collection | 力学所知识产出(1956-2008) |
Corresponding Author | Zhang, DM (reprint author), Huazhong Univ Sci & Technol, Dept Phys, 1037 Luoyu Rd, Wuhan 430074, Peoples R China. |
Recommended Citation GB/T 7714 | Zhang DM,Li R,Su XY,et al. Kinetic Approach to One-Dimensional Non-Uniform Granular Gases[J]. Journal of Physics A-Mathematical and General,2005,38,41,:8861-8872. |
APA | Zhang DM,Li R,Su XY,Pan GJ,Yu BM,&Zhang, DM .(2005).Kinetic Approach to One-Dimensional Non-Uniform Granular Gases.Journal of Physics A-Mathematical and General,38(41),8861-8872. |
MLA | Zhang DM,et al."Kinetic Approach to One-Dimensional Non-Uniform Granular Gases".Journal of Physics A-Mathematical and General 38.41(2005):8861-8872. |
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