Jm. Debierre et Rm. Bradley, NUMERICAL ESTIMATE OF A SCALING EXPONENT CHARACTERIZING FLUCTUATING DIFFUSION FRONTS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(1), 1996, pp. 1238-1240
We perform large scale Monte Carlo simulations of the fragmentation of
bond percolation cluster perimeters on the square lattice at the perc
olation threshold. Using our data, we obtain a very accurate estimate
for a scaling exponent that characterizes the fluctuations of a diffus
ion front. Our estimate provides strong support for a prediction made
by J. F. Gouyet and Y. Boughaleb [Phys. Rev. B 40, 4760 (1989)].