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Random One‐Dimensional Classical Magnet
Author(s) -
Krzemiński S.
Publication year - 1977
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.2220800228
Subject(s) - spins , curse of dimensionality , isotropy , magnet , spin (aerodynamics) , physics , thermodynamic limit , statistical physics , specific heat , work (physics) , extension (predicate logic) , condensed matter physics , classical mechanics , thermodynamics , quantum mechanics , mathematics , computer science , statistics , programming language
For the thermodynamic quantities (specific heat, spin‐spin correlation functions, magnetic susceptibility) of an impure one‐dimensional system of classical spins of arbitrary dimensionality with arbitrary, isotropic nearest‐neighbour interactions rigorous expressions are found in the thermodynamic limits. The quenched approximation is considered for both, site and bond impurity models. The present theory is an extension of Liu and Joseph's work for the pure case.