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Possible symmetrization of Fisher's droplet picture nearT c : A bubble-droplet formula
Authors:D Stauffer  C S Kiang  G H Walker
Institution:(1) Physik Department T30, Technische Universität, 8046 Garching, Reaktor, West Germany;(2) Physics Department, Clark College, Atlanta, Georgia
Abstract:An expression for the pressure is proposed which leads to a symmetric equation of state for liquid and gas near the critical point. Our ldquobubble-dropletrdquo formula is similar to Fisher's cluster expansion but contains an additional term due to the density dependence of the surface tension. Also, it assumes the density difference between a droplet (or bubble) and the surrounding medium to be proportional tol – 1/delta and not to be independent of the droplet sizel. Then, the scaling homogeneity assumption and some scaling laws, includingdngr=2–agr, can be derived (d is dimensionality). The additional assumption of spherical droplets and bubbles leads to a new scaling law 1+beta=(d–1)ngr, which is only slightly violated in the lattice gas ford=2, 3, 4.Work partially supported by Research Corporation, a Frederick Gardner Cottrell grant aid.
Keywords:Surface tension  scaling laws  droplet model  critical point
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