A new Monte Carlo simulation for two models of self-avoiding lattice trees in two dimensions |
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Authors: | Sergio Caracciolo Ueli Glaus |
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Affiliation: | (1) Institute for Advanced Study, 08540 Princeton, New Jersey;(2) Present address: Scuola Normale Superiore, Pisa;(3) Present address: Sezione di Pisa, INFN, 56100 Pisa, Italy;(4) ETH-Hönggerberg, CH-8093 Zürich, Switzerland |
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Abstract: | By means of a new Monte Carlo sampling of a grand canonical ensemble, we verify universality for the critical exponents and of two models of lattice trees constrained to be self-avoiding on sites or on bonds. The attrition constants are also obtained. This algorithm, a generalization of that recently proposed by Berretti and Sokal for random walks, appears to optimize the critical slowing down in the scaling region. Systematic and statistical errors are carefully estimated. |
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Keywords: | Branched polymers lattice animals universality dimensional reduction |
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