Monte Carlo test of dimensional reduction for branched polymers in three dimensions
- 11 July 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (10) , L609-L615
- https://doi.org/10.1088/0305-4470/18/10/010
Abstract
By a Monte Carlo simulation of a grand canonical ensemble for a lattice tree model of branched polymers in three dimensions the author obtains the estimates theta =1.501+or-0.043, nu =0.495+or-0.013 for the critical exponents. These estimates strongly support the exact conjecture theta =3/2, nu =1/2 by Parisi and Sourlas (1981) obtained using dimensional reduction. The attrition constant mu is also estimated.Keywords
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