ISSN:
1572-9613
Keywords:
Surface tension
;
scaling laws
;
droplet model
;
critical point
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01011387
Permalink
