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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 160, Number 2, Pages 290–303
DOI: https://doi.org/10.4213/tmf6399 (Mi tmf6399) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

M. Yu. Kovalevskyab

a Belgorod State University, Belgorod, Russia
b National Scientific Center " Kharkov Physico-Technical Institute", Kharkov, Ukraine
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DOI: https://doi.org/10.4213/tmf6399
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
English version:
Theoretical and Mathematical Physics, 2009, Volume 160, Issue 2, Pages 1113–1123
DOI: https://doi.org/10.1007/s11232-009-0104-5
Bibliographic databases:
Language: Russian
Citation: M. Yu. Kovalevsky, “Quasi-averages in the solution of the classification problem for equilibriums of condensed media with a spontaneously broken symmetry”, TMF, 160:2 (2009), 290–303; Theoret. and Math. Phys., 160:2 (2009), 1113–1123
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\crossref{https://doi.org/10.1007/s11232-009-0104-5}
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  • https://www.mathnet.ru/eng/tmf/v160/i2/p290
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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