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

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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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Authors and Affiliations

  1. National Scientific Center “Kharkov Physico-Technical Institute,”, Kharkov, Ukraine

    M. Yu. Kovalevskii

  2. Belgorod State University, Belgorod, Russia

    M. Yu. Kovalevskii

Authors
  1. M. Yu. Kovalevskii
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Correspondence to M. Yu. Kovalevskii.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 160, No. 2, pp. 290–303, August, 2009.

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Kovalevskii, M.Y. Quasi-averages in the solution of the classification problem for equilibriums of condensed media with a spontaneously broken symmetry. Theor Math Phys 160, 1113–1123 (2009). https://doi.org/10.1007/s11232-009-0104-5

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  • DOI: https://doi.org/10.1007/s11232-009-0104-5

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