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Connection between generalized lattice model of multicomponent systems and Ginzburg–Landau theory
Author(s) -
Zakharov A. Yu.,
Zakharov M. A.,
Loginova O. V.
Publication year - 2004
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.20064
Subject(s) - helmholtz free energy , connection (principal bundle) , lattice (music) , statistical physics , physics , range (aeronautics) , integral equation , ginzburg–landau theory , mathematical physics , quantum mechanics , mathematics , mathematical analysis , materials science , magnetic field , geometry , acoustics , composite material
The basic principles of generalized lattice model of multicomponent condensed systems are formulated. Short‐range aspects of interatomic interactions are taken into account by means of the geometric constraints method. Long‐range aspects of the interactions taken into account in mean field approximation. The expression for Helmholtz free energy is obtained. Integral equations system for the equilibrium distributions of components is derived. The asymptotic properties of its solutions is investigated. Moments expansion of interatomic interactions and localization of integral terms in free energy is obtained. A Ginzburg–Landau‐like functional theory of free energy is derived. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2004