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Название: Monte Carlo Study of the O-Point for Collapsing Trees
Авторы: Madras N., van Rensburg E.J.J.
We investigate the collapse transition of lattice trees with nearest neighbor attraction in two and three dimensions. Two methods are used: ( I ) A stochastic optimization process of the Robbins-Monro type, which is designed solely to locate the maximum value of the specific heat; and (2) umbrella sampling, which is designed to sample data over a wide temperature range, as well as to combat the quasiergodicity of Metropolis algorithms in the collapsed phase. We find good evidence that the transition is second order with a divergent specific heat, and that the divergence of the specific heat coincides with the metric collapse.