ISSN:
1572-9613
Keywords:
Lattice trees
;
collapse transition
;
scaling and crossover behavior
;
Robbins-Monro algorithm
;
umbrella sampling Monte Carlo
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We investigate the collapse transition of lattice trees with nearest neighbor attraction in two and three dimensions. Two methods are used: (1) 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02180197
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