title: Statistical foundations of liquid-crystal theory: II: Macroscopic balance laws.
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.
authors.affiliation: Department of Mathematics and Statistics, 805 Sherbrooke Street West, Montreal, QC H3A 2K6, Tel.: 514-398-2998, , bseguin@math.mcgill.ca.
authors.forename: Brian
authors.initials: B
authors.lastname: Seguin
authors.forename: Eliot
authors.initials: E
authors.lastname: Fried
keywords: Reynolds stress; Statistical mechanics; balance laws; discrete-to-continuum limit; fluctuations
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jun;67(6 Pt 1):061701
references.pmid: 16241238
references.citation: Arch Ration Mech Anal. 2012 Dec 1;206(3):1039-1072
references.pmid: 23772091