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Expansion of Free Energy in Terms of Correlation Functions within the Landau‐Ginzburg Model. II. Calculation in Two‐Dimensional and Three‐Dimensional Cases
Author(s) -
Madzhulis I.,
Kaupužs J.
Publication year - 1993
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221760104
Subject(s) - phase transition , critical exponent , statistical physics , correlation , critical point (mathematics) , energy (signal processing) , mathematics , correlation function (quantum field theory) , order (exchange) , landau theory , physics , mathematical physics , mathematical analysis , condensed matter physics , quantum mechanics , spectral density , statistics , geometry , finance , economics
Abstract The asymptotics of correlation functions and critical exponents are investigated within the Landau‐Ginz‐burg phase transition model for ferroclectrics. The new method proposed is based on a subsequent account for fluctuations. Both analytical and numerical calculations are performed showing that the method gives nontrivial critical exponents. Moreover, precise values are obtained in the two‐dimensional case below the phase transition point. The first‐order phase transition is observed in the three‐dimensional case.