Critical droplet for the three-dimensional Ising model
- 21 April 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (6) , 1019-1025
- https://doi.org/10.1088/0305-4470/18/6/023
Abstract
The droplet model is investigated in the critical region by Monte Carlo simulation with a novel definition of droplets. The size distribution of droplets of size l is found to be nl approximately=l- tau exp(-(K-Kc)mu slzeta ), where (K-Kc)mu stands for the surface tension with K denoting the reduced temperature and slzeta for the surface area; the numerical constants are given by tau =2.21, mu =1.0 and zeta =0.78 for the simple cubic lattice. The droplet is prescribed properly by taking account of the density correlation between the centre and the perimeter, which has no singularity at the percolation point.Keywords
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