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A. V. KLESHCHONOK, V. Yu. RESHETNYAK, and V. A. TATARENKO
«Instability of the Mesomorphic Phases Filled with Impurities in Relation to Formation of the Modulated Structures»
635–667 (2008)

PACS numbers: 05.50.+q, 05.65.+b, 61.30.Dk, 61.30.Gd, 61.30.Jf, 61.30.Pq, 82.70.Kj

Necessary thermodynamic conditions of appearance of modulated lamellarstructures within the framework of the non-uniform distribution of impurity rigid-ball-like particles intruded into the mesomorphic host medium are analyzed. The method of static fluctuation waves and the self-consistent-field approximation within the quasi-lattice-gas model are used. The externalcondition- dependent long-range indirect elastically-controlled interaction between impurity particles is induced by an interference of static directorfield curvatures and is considered as being responsible for the formation of superstructures. Such approach allows estimating the temperature of formation of the possible modulated structures and their spatial period.