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Title
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Proposed relationship between the exponents and at liquid-vapour critical point via the dimensionality d
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Author
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Abstract
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| 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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Language
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English
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Source (journal)
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Physics and chemistry of liquids. - London
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Publication
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London
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2011
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ISSN
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0031-9104
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DOI
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10.1080/00319104.2010.499514
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Volume/pages
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49
:2
(2011)
, p. 270-273
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ISI
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000288667200012
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Full text (Publisher's DOI)
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