Title
Inclusion of an applied magnetic field of arbitrary strength in the Ising model Inclusion of an applied magnetic field of arbitrary strength in the Ising model
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Amsterdam ,
Subject
Physics
Source (journal)
Physics letters: A. - Amsterdam, 1967, currens
Volume/pages
378(2014) :30-31 , p. 2295-2296
ISSN
0375-9601
ISI
000339697600061
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
By making use of the early work of Kowalski (1972) [4] in this Journal, we expose the simplicity by which, for the Ising chain, the partition function Z(1) (beta J, beta h), where h denotes the applied magnetic field strength, can be constructed from the zero-field limit Z(1) (beta J, 0) plus the explicit factor cosh(beta h). Secondly, we use mean-field theory for the Ising model in four dimensions to prove a similar functional relation; namely that the partition function Z(4)(beta J, beta h) is again solely a functional of the zero field partition function Z(4)(beta J, 0) and beta h. (c) 2014 Elsevier B.V. All rights reserved.
E-info
https://repository.uantwerpen.be/docman/iruaauth/7c3f48/80c8250.pdf
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