Condensed Matter Physics, 2013, vol. 16, No. 2, 23603:1-10
DOI:10.5488/CMP.16.23603
arXiv:1307.2027
Title:
Universality versus nonuniversality in asymmetric fluid criticality
Author(s):
 
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M.A. Anisimov
(Institute for Physical Science and Technology, University of Maryland,
College Park, MD 20742)
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Critical phenomena in real fluids demonstrate a combination of universal
features caused by the divergence of long-range fluctuations of density and
nonuniversal (system-dependent) features associated with specific
intermolecular interactions. Asymptotically, all fluids belong to the
Ising-model class of universality. The asymptotic power laws for the
thermodynamic properties are described by two independent universal critical
exponents and two independent nonuniversal critical amplitudes; other
critical amplitudes can be obtained by universal relations. The nonuniversal
critical parameters (critical temperature, pressure, and density) can be
absorbed in the property units. Nonasymptotic critical behavior of fluids
can be divided in two parts, symmetric ("Ising-like") and asymmetric
("fluid-like"). The symmetric nonasymptotic behavior contains a new
universal exponent (Wegner exponent) and the system-dependent crossover
scale (Ginzburg number) associated with the range of intermolecular
interactions, while the asymmetric features are generally described by an
additional universal exponent and by three nonasymptotic amplitudes
associated with mixing of the physical fields into the scaling fields.
Key words:
fluids, critical point, universality, complete scaling
PACS:
64.60.F-
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