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The Dilute Random‐Field Ising Model by the Finite Cluster Approximation
Author(s) -
El Atri A.,
Saber M.
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.2221760222
Subject(s) - ising model , phase diagram , statistical physics , cluster (spacecraft) , phase transition , mathematics , simple (philosophy) , diagram , order (exchange) , distribution (mathematics) , physics , phase (matter) , condensed matter physics , mathematical analysis , quantum mechanics , statistics , computer science , philosophy , epistemology , programming language , finance , economics
Using the finite cluster approximation, the phase diagram of site‐diluted three‐dimensional simple cubic Ising models with a random field is determined. The phase diagram exhibits only second‐order transition or second‐order and first‐order transition lines, according to an appropriate probability distribution of these random variables.