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Molecular Field Theory and Phase Transitions in Partially Finite Spin Systems
Author(s) -
Angelescu N.,
Costache G.,
Nenciu G.
Publication year - 1972
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.2220510121
Subject(s) - condensed matter physics , inverse , phase transition , field (mathematics) , homogeneous , magnetization , phase (matter) , limit (mathematics) , spin (aerodynamics) , field theory (psychology) , materials science , physics , mathematics , magnetic field , statistical physics , quantum mechanics , mathematical physics , thermodynamics , mathematical analysis , pure mathematics , geometry
A molecular field model of an homogeneous thin film with free surfaces is studied. The existence of one and only one phase transition, which is of second order, is proved. A study is made of the distribution of magnetization across the film thickness. In the limit of in‐ finite number of layers, a description of the bulk is obtained, which is equivalent to the Weiss molecular field description. The critical temperature of the film approaches the bulk critical temperature as the inverse square of the number of layers.