1997/02/06 by B. M. Levitan, Boris Levitan, Levitan, Boris +2
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Dynamics and Fractals #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9702061
12 pages, RevTex, 3 ps figures
arxiv created 1997/02/06 · openalex publication_date 1997/02/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the long time behavior of the survivors' area in the scaling state of two dimensional soap froth. We relate this problem to the recently studied temporal decay of the fraction of Potts spins that have never been flipped till time t. The results of our topological simulations are consistent with the value θ=1 for the scaling exponent of the survivors' areas, in agreement with a recently obtained analytical result. We find, however, that the relaxation time needed to get into the scaling regime depends on the degree of randomness in the topological rearrangements and becomes very large in the deterministic limit.