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Possible symmetrization of Fisher's droplet picture nearT c : A bubble-droplet formula

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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/δ and not to be independent of the droplet sizel. Then, the scaling homogeneity assumption and some scaling laws, includingdν=2−α, can be derived (d is dimensionality). The additional assumption of spherical droplets and bubbles leads to a new scaling law 1+β=(d−1)ν, which is only slightly violated in the lattice gas ford=2, 3, 4.

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Authors and Affiliations

  1. Physik Department T30, Technische Universität, 8046 Garching, Reaktor, West Germany

    D. Stauffer

  2. Physics Department, Clark College, Atlanta, Georgia

    C. S. Kiang & G. H. Walker

Authors
  1. D. Stauffer
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  2. C. S. Kiang
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  3. G. H. Walker
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Additional information

Work partially supported by Research Corporation, a Frederick Gardner Cottrell grant aid.

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Stauffer, D., Kiang, C.S. & Walker, G.H. Possible symmetrization of Fisher's droplet picture nearT c : A bubble-droplet formula. J Stat Phys 3, 323–330 (1971). https://doi.org/10.1007/BF01011387

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  • DOI: https://doi.org/10.1007/BF01011387

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