Open AccessComparison of complete scaling and a field-theoretic treatment of asymmetric fluid criticality
Author(s) -
C. E. Bertrand,
J. F. Nicoll,
М. А. Анисимов
Publication year - 2012
Publication title -
physical review e
Language(s) - English
Resource type - Journals
eISSN - 1550-2376
pISSN - 1539-3755
DOI - 10.1103/physreve.85.031131
Subject(s) - scaling , criticality , statistical physics , hamiltonian (control theory) , equation of state , exponent , connection (principal bundle) , mathematics , physics , mathematical physics , quantum mechanics , mathematical optimization , linguistics , philosophy , geometry , nuclear physics
We investigate the connection between the theory of complete scaling and a field-theoretic (FT) treatment of asymmetric fluid criticality. To facilitate the comparison, we develop an equation of state from a simplified form of the complete scaling transformations and systematically compare this equation of state with the equation of state generated by a FT treatment of an asymmetric Landau-Ginzburg-Wilson Hamiltonian. We find, with care in interpretation, that these two approaches may be read as equivalent up to terms involving an independent higher-order asymmetric correction-to-scaling exponent.National Science Foundation (U.S.). Division of Chemistry (CHE-1012052
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