M. Yu. Kovalevsky, “Quasi-averages in the solution of the classification problem for equilibriums of condensed media with a spontaneously broken symmetry”, TMF, 2009, Volume 160, Number 2,Pages <nobr>290

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Quasi-averages in the solution of the classification problem for equilibriums of condensed media with a spontaneously broken symmetry

M. Yu. Kovalevsky^ab

^a Belgorod State University, Belgorod, Russia
^b National Scientific Center " Kharkov Physico-Technical Institute", Kharkov, Ukraine

Abstract: We develop a statistical approach for solving the classification problem for equilibriums of degenerate condensed media. We introduce generators of unbroken and spatial symmetries of an equilibrium and use them to derive the classification equations for the order parameter. We elucidate the mechanism of the appearance of additional thermodynamic parameters characterizing both homogeneous and inhomogeneous equilibriums. We solve the classification problem for equilibriums of various liquid crystals analytically.

Keywords: equilibrium, quasi-average, order parameter, classification equation, liquid crystal, thermodynamic parameter.

Received: 30.12.2008

DOI: 10.4213/tmf6399