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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