Quasi-averages in the solution of the classification problem for equilibriums of condensed media with a spontaneously broken symmetry |
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Authors: | M Yu Kovalevskii |
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Institution: | (2) Department of Chemical Engineering and Minerva Center for Nonlinear Physics of Complex Systems, Technion – Israel Institute of Technology, Haifa, Israel; |
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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. |
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Keywords: | |
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