ISSN:
1089-7690
Source:
AIP Digital Archive
Topics:
Physics
,
Chemistry and Pharmacology
Notes:
Thermodynamics in the vicinity of a critical endpoint with nonclassical exponents α, β, γ, δ, ... , is analyzed in terms of density variables (mole fractions, magnetizations, etc.). The shapes of the isothermal binodals or two-phase coexistence curves are found at and near the endpoint for symmetric and nonsymmetric situations. The spectator- (or noncritical-) phase binodal at T=Te is characterized by an exponent (δ+1)/δ ((similar, equals)1.21) with leading corrections of relative order 1/δ ((similar, equals)0.21), θ4/βδ ((similar, equals)0.34) and 1−(βδ)−1 ((similar, equals)0.36); in contrast to classical (van der Waals, mean field, etc.) theory, the critical endpoint binodal is singular with a leading exponent (1−α)/β ((similar, equals)2.73) and corrections which are elucidated; the remaining, λ-line binodals also display the "renormalized exponent," (1−α)/β but with more singular corrections. [The numerical values quoted here pertain to (d=3)-dimensional-fluid or Ising-type systems.] © 2001 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.1373665
Permalink