Monte Carlo Renormalization of the 3-D Ising model: Analyticity and Convergence

Preprint

5 February 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9602020

Abstract

We review the assumptions on which the Monte Carlo renormalization technique is based, in particular the analyticity of the block spin transformations. On this basis, we select an optimized Kadanoff blocking rule in combination with the simulation of a d=3 Ising model with reduced corrections to scaling. This is achieved by including interactions with second and third neighbors. As a consequence of the improved analyticity properties, this Monte Carlo renormalization method yields a fast convergence and a high accuracy. The results for the critical exponents are y_H=2.481(1) and y_T=1.585(3).

Keywords

MONTE CARLO RENORMALIZATION
RENORMALIZATION
CONVERGENCE
ANALYTICITY
ISING MODEL

All Related Versions

Version 1, 1996-02-05, ArXiv
Published version: Physical Review Letters, 76 (15), 2613.

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