Geodesic
Quasi-averages in the~solution of the~classification problem for equilibriums of condensed media with
Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 2, pp. 290-303

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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, liquid crystal, thermodynamic parameter.
Mots-clés : classification equation 
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     author = {M. Yu. Kovalevsky},
     title = {Quasi-averages in the~solution of the~classification problem for equilibriums of condensed media with},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {290--303},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2009_160_2_a4/}
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M. Yu. Kovalevsky. Quasi-averages in the~solution of the~classification problem for equilibriums of condensed media with. Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 2, pp. 290-303. http://geodesic.mathdoc.fr/item/TMF_2009_160_2_a4/