On the existence of critical exponents for self-avoiding walks-Reference-Cited by-同舟云学术

On the existence of critical exponents for self-avoiding walks

Published:2022-10-07 Issue:41 Volume:55 Page:415206
ISSN:1751-8113
Container-title:Journal of Physics A: Mathematical and Theoretical
language:
Short-container-title:J. Phys. A: Math. Theor.

Author:

Guttmann Anthony J^ORCID,Jensen Iwan^ORCID

Abstract

Abstract We describe some ideas of John Hammersley for proving the existence of critical exponents for two-dimensional self-avoiding walks and provide numerical evidence for their correctness.

Publisher

IOP Publishing

Subject

General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://iopscience.iop.org/article/10.1088/1751-8121/ac943a/pdf

Reference29 articles.

1. Logarithmic correction for the susceptibility of the four-dimensional weakly self-avoiding walk: a renormalisation group analysis;Bauerschmidt;Commun. Math. Phys.,2015

2. Finite-order correlation length for four-dimensional weakly self-avoiding walk and |ϕ|4 spins;Bauerschmidt;Ann. Henri Poincaré,2017

3. Accurate estimate of the critical exponent ν for self-avoiding walks via a fast implementation of the pivot algorithm;Clisby;Phys. Rev. Lett.,2010

4. Scale-free Monte Carlo method for calculating the critical exponent γ of self-avoiding walks;Clisby;J. Phys. A: Math. Theor.,2017

5. Polymer network of fixed topology: renormalization exact critical exponent γ in two dimensions, and d = 4 − ϵ;Duplantier;Phys. Rev. Lett.,1986

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