A nonlocal Monte Carlo algorithm for lattice trees

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Published under licence by IOP Publishing Ltd
, , Citation E J Janse van Rensburg and N Madras 1992 J. Phys. A: Math. Gen. 25 303 DOI 10.1088/0305-4470/25/2/013

0305-4470/25/2/303

Abstract

A new nonlocal algorithm for the simulation of trees on the lattice Zd is proposed. The authors study the implementation and the properties of the algorithm, and show that it is decisively better than an algorithm which performs only local moves. They use the new algorithm to investigate the properties of lattice trees in two, three, four, eight and nine dimensions.

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10.1088/0305-4470/25/2/013