Statistical foundations of liquid-crystal theory: II: Macroscopic balance laws.
Statistical foundations of liquid-crystal theory: II: Macroscopic balance laws.
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液晶理论的统计基础：II：宏观平衡定律。
DOI：
10.1007/s00205-012-0551-2
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发表时间：
2013
影响因子：
2.5
通讯作者：
Fried,Eliot
中科院分区：
文献类型：
--
作者：
Seguin,Brian;Fried,Eliot
工作状态空间确定考虑离散系统的刚性杆，我们使用非平衡统计力学推导出宏观平衡定律的液晶。一个满足刘维尔方程的概率函数可以作为导出每个宏观平衡的起点。出现在派生平衡的条款被解释为预期值和明确的公式，这些条款获得。在导出的平衡列表中出现了两个，张量惯性矩平衡和介观涨落平衡，这在以前提出的液晶宏观理论中不是标准的，但在结构介质的其他理论中有先例。
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.