Accurate Estimate of the Critical Exponentνfor Self-Avoiding Walks via a Fast Implementation of the Pivot Algorithm

2010/02/01 by Nathan Clisby · 1 citation
Biochemistry, Genetics and Molecular Biology · Materials Science · Mathematics · Physics and Astronomy · #Block Copolymer Self-Assembly #Protein Structure and Dynamics #Theoretical and Computational Physics #cond-mat.stat-mech #math-ph #math.MP #physics.chem-ph

paper · pdf · doi:10.1103/physrevlett.104.055702

published as Phys. Rev. Lett. 104, 055702 (2010) · 5 pages, 3 figures

openalex publication_date 2010/02/01 · arxiv created 2010/02/02 · arxiv updated 2010/02/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

We introduce a fast implementation of the pivot algorithm for self-avoiding walks, which we use to obtain large samples of walks on the cubic lattice of up to 33x106 steps. Consequently the critical exponent nu for three-dimensional self-avoiding walks is determined to great accuracy; the final estimate is nu=0.587 597(7). The method can be adapted to other models of polymers with short-range interactions, on the lattice or in the continuum.

Citations

• Critical exponents of theN-vector model

Cited by

• Confined polymers in the extended de Gennes regime