Monte Carlo test of dimensional reduction for branched polymers in three dimensions

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, , Citation U Glaus 1985 J. Phys. A: Math. Gen. 18 L609 DOI 10.1088/0305-4470/18/10/010

0305-4470/18/10/L609

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.

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10.1088/0305-4470/18/10/010