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Critical Behaviour near the Intersection of Second‐Order Phase Transition Lines in a Random System
Author(s) -
Izyumov Yu. A.,
Skryabin Yu. N.,
Laptev V. M.
Publication year - 1978
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.2220870204
Subject(s) - intersection (aeronautics) , phase transition , renormalization group , critical point (mathematics) , order (exchange) , statistical physics , mathematics , transition point , fixed point , binary number , condensed matter physics , physics , mathematical physics , mathematical analysis , thermodynamics , engineering , arithmetic , finance , aerospace engineering , economics
The critical behaviour of inhomogeneous systems with the coupled order parameters is studied by means of Wilson's renormalization group theory. A disordered binary magnet, which is characterized by the mixed exchange interactions, is the example of those systems. It is shown that there is no stable fixed point in the system corresponding to the intersection of phase transition lines, and, hence, the second‐order phase transition cannot take place in it.