Title
Refined semi-empirical formula for liquid-vapour critical point exponent delta and its relevance to the random field Ising modelRefined semi-empirical formula for liquid-vapour critical point exponent delta and its relevance to the random field Ising model
Author
Faculty/Department
Faculty of Sciences. Physics
Research group
Department of Physics
Publication type
article
Publication
London,
Subject
Physics
Chemistry
Source (journal)
Physics and chemistry of liquids. - London
Volume/pages
49(2011):5, p. 684-692
ISSN
0031-9104
ISI
000299701600012
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Recent work in D. J. Klein and N. H. March, Phys. Lett. A 372, 5052 (2008) has considered, by a semi-empirical approach, the critical exponent delta at the liquid-vapour critical point as a function of dimensionality D. Here we first refine delta(d'), again semi-empirically, but with better results for other critical exponents, especially eta(d'). The resulting form of delta(d') is then utilised to discuss the random field Ising model. Systems with random fields are expected to exhibit drastically modified critical properties. We discuss the relation between a d-dimensional spin system in a random field with a d'-dimensional spin assembly in a zero magnetic field. A further matter focused in here concerns effective reduced dimensionality and hyperscaling relations. We conclude by assessing the way in which the available experimental results relate to the issues raised above.
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