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The Investigation of the Ferroelectric Phase Transition in Cluster Systems of Order–Disorder Type
Author(s) -
Yukhnovskii I. R.,
Korynevskii N. A.
Publication year - 1989
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.2221530217
Subject(s) - ferroelectricity , phase transition , quartic function , hamiltonian (control theory) , gaussian , cluster (spacecraft) , ising model , statistical physics , type (biology) , mathematics , physics , condensed matter physics , quantum mechanics , pure mathematics , computer science , dielectric , mathematical optimization , ecology , biology , programming language
The description of second‐order ferroelectric phase transitions in cluster systems of order–disorder type in the frames of the collective variables method is proposed. By means of the canonical Hubbard operator technique the Ising‐like form of the Hamiltonian is obtained. The partition function is represented as a functional integral over collective variables. The classification of collective variables according to their role in forming of the ferroelectric order parameter is made. For a consistent consideration of critical fluctuations of the order parameter a non‐Gaussian, quartic basic measure density is obtained.