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Random Bond Ising Model in Self‐Avoiding Walk Approximation
Author(s) -
Medvedev M. V.,
Sadovskii M. V.
Publication year - 1982
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.2221090104
Subject(s) - ising model , random walk , statistical physics , series (stratigraphy) , instability , convergence (economics) , condensed matter physics , range (aeronautics) , paramagnetism , square lattice ising model , mathematics , physics , materials science , quantum mechanics , statistics , geology , paleontology , economic growth , economics , composite material
Free energy of random bond Ising model is analysed by high‐temperature expansion in self‐avoiding walk approximation. Conditions of instability of the paramagnetic state are determined through the convergence criterion of the random high‐temperature series. Critical concentrations for the loss of the long‐range magnetic order are determined for different 2d and 3d lattices.