Abstract
We present results of a stochastic simulation which determines the shape of a liquid drop, subject to gravity, on a wall. The system is modeled using an Ising model in a field gradient, with Kawasaki dynamics governing the time dependence. We can locate a phase transition between a hanging and a sliding phase with high precision and determine its critical exponents.
References
G. Macdougall and C. Ockrent,Proc. R. Soc. London A 180:151 (1942).
B. K. Larkin,J. Colloid Interface Sci. 23:305 (1967); R. A. Brown, F.M. Orr, and L.E. Scriven,J. Colloid Interface Sci. 73:76 (1980).
E. B. Dussan and R. T.-P. Chow,J. Fluid Mech. 137:1 (1983); E. B. Dussan,J. Fluid Mech. 151:1 (1985).
Y. Rotenberg, L. Boruvka, and A. W. Neumann,J. Colloid Interface Sci. 102:424 (1984).
R. K. P. Zia and A. Gittis,Phys. Rev. B 35:5907 (1987).
W. Selke,J. Stat. Phys. 56:609 (1989); T. W. Burkhardt, W. Selke, and T. Xue,J. Phys. A 22:L1129 (1989).
K. Kaski, private communication.
A. H. Romero, preprint.
Author information
Authors and Affiliations
Additional information
Communicated by D. Stauffer
Rights and permissions
About this article
Cite this article
Manna, S.S., Herrmann, H.J. & Landau1, D.P. A stochastic method to determine the shape of a drop on a wall. J Stat Phys 66, 1155–1163 (1992). https://doi.org/10.1007/BF01055723
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01055723