Title
Proposed relationship between the exponents <tex>$\gamma$</tex> and <tex>$\eta$</tex> at liquid-vapour critical point via the dimensionality dProposed relationship between the exponents <tex>$\gamma$</tex> and <tex>$\eta$</tex> at liquid-vapour critical point via the dimensionality d
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):2, p. 270-273
ISSN
0031-9104
ISI
000288667200012
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In earlier work, Ma [S.K. MA, Phys. Rev. Lett., 29, 1311 (1972)] has studied the critical exponents γ and η for charged and neutral Bose gases. Here we use the result of Ma, valid for general dimensionality d but only to O(m-1), where m is the number of components of the Bose field, to write a relation between γ(d) and η(d) to O(m-1). This then motivates, but now for the Ising model, a relationship between the critical exponents γ and η, via the dimensionality d. We finally demonstrate a connection between the two renormalisation group eigenvalues yt and yh, via the critical exponent δ with a dimensional dependence.
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