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- Title
Statistical Foundations of Liquid-Crystal Theory II: Macroscopic Balance Laws.
- Authors
Seguin, Brian; Fried, Eliot
- Abstract
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.
- Subjects
LIQUID crystals; BALANCE laws (Mechanics); DISCRETE systems; STATISTICAL mechanics; PROBABILITY theory; MATHEMATICAL formulas; APPLIED mathematics
- Publication
Archive for Rational Mechanics & Analysis, 2013, Vol 207, Issue 1, p1
- ISSN
0003-9527
- Publication type
Article
- DOI
10.1007/s00205-012-0551-2