Possible symmetrization of Fisher's droplet picture nearT
c
: A bubble-droplet formula |
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Authors: | D Stauffer C S Kiang G H Walker |
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Institution: | (1) Physik Department T30, Technische Universität, 8046 Garching, Reaktor, West Germany;(2) Physics Department, Clark College, Atlanta, Georgia |
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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 bubble-droplet 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/ and not to be independent of the droplet sizel. Then, the scaling homogeneity assumption and some scaling laws, includingd=2–, can be derived (d is dimensionality). The additional assumption of spherical droplets and bubbles leads to a new scaling law 1+=(d–1), 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. |
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Keywords: | Surface tension scaling laws droplet model critical point |
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