The classical granular temperature and slightly beyond
The classical granular temperature and slightly beyond
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DOI：
10.1016/j.powtec.2007.08.002
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发表时间：
2007-02
影响因子：
5.2
通讯作者：
D. Serero;C. Goldenberg;S. H. Noskowicz;I. Goldhirsch
中科院分区：
文献类型：
--
作者：
D. Serero;C. Goldenberg;S. H. Noskowicz;I. Goldhirsch
本文的目的之一是讨论颗粒温度的经典定义，它是对其热力学等价性的扩展，并且是一个有用的概念，它提供了流态化颗粒物质的重要表征。在回顾了一些基本概念和技术之后(重点是基本问题)，我们给出了一个系统的新结果，该系统可以表现出强烈的均分破坏，但符合经典颗粒流体力学的描述，即二元颗粒气体混合物。本文的第二个目的是给出一个同样适用于致密颗粒和分子固体的结果，即存在对连续介质力学方程中与热通量有关的弹性能的修正。后者与弹性能在应变上具有相同的(第二)量级。虽然最近对颗粒物质、玻璃和其他无序多体系统的温度的定义不在本文的范围内，但我们在结束语部分确实对这个问题提出了几点一般性意见。
One goal of this paper is to discuss the classical definition of granular temperature as an extension of its thermodynamic equivalent and a useful concept which provides an important characterization of fluidized granular matter. Following a review of some basic concepts and techniques (with emphasis on fundamental issues) we present new results for a system that can exhibit strong violations of equipartition, yet is amenable to description by classical granular hydrodynamics, namely a binary granular gas mixture. A second goal of this article is to present a result that pertains to dense granular and molecular solids alike, namely the existence of a correction to the elastic energy which is related to the heat flux in the equations of continuum mechanics. The latter is of the same (second) order in the strain as the elastic energy. Although recent definitions of temperatures for granular matter, glasses and other disordered many-body systems are not within the scope of this article we do make several general comments on this subject in the closing section.