Publication
Title
Proposed relationship between the exponents $\gamma$ and $\eta$ at liquid-vapour critical point via the dimensionality d
Author
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.
Language
English
Source (journal)
Physics and chemistry of liquids. - London
Publication
London : 2011
ISSN
0031-9104
Volume/pages
49:2(2011), p. 270-273
ISI
000288667200012
Full text (Publisher's DOI)
UAntwerpen
 Faculty/Department Research group Publication type Subject Affiliation Publications with a UAntwerp address