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Statistical Foundations of Liquid-Crystal Theory II: Macroscopic Balance Laws
Archive for Rational Mechanics and Analysis ( IF 2.5 ) Pub Date : 2012-08-24 , DOI: 10.1007/s00205-012-0551-2
Brian Seguin 1 , Eliot Fried
Affiliation  

Working on a state space determined by considering a discrete system of rigid rods, we use nonequilibrium statistical mechanics to derive macroscopic balance laws for liquid crystals. A probability function that satisfies the Liouville equation serves as the starting point for deriving each macroscopic balance. The terms appearing in the derived balances are interpreted as expected values and explicit formulas for these terms are obtained. Among the list of derived balances appear two, the tensor moment of inertia balance and the mesofluctuation balance, that are not standard in previously proposed macroscopic theories for liquid crystals but which have precedents in other theories for structured media.

中文翻译:

液晶理论的统计基础 II:宏观平衡定律

在通过考虑刚性棒的离散系统确定的状态空间上工作,我们使用非平衡统计力学来推导出液晶的宏观平衡定律。满足 Liouville 方程的概率函数作为推导每个宏观平衡的起点。派生余额中出现的条款被解释为预期值,并获得这些条款的明确公式。在导出的平衡列表中出现了两个,惯性平衡张量平衡和介观波动平衡,它们不是先前提出的液晶宏观理论的标准,但在结构介质的其他理论中有先例。
更新日期:2012-08-24
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