Inverse Monte Carlo renormalization group transformations for critical phenomena.
We introduce a computationally stable inverse Monte Carlo renormalization group transformation method that provides a number of advantages for the calculation of critical properties. We are able to simulate the fixed point of a renormalization group for arbitrarily large lattices without critical slowing down. The log-log scaling plots obtained with this method show remarkable linearity, leading to accurate estimates for critical exponents. We illustrate this method with calculations in two- and three-dimensional Ising models for a variety of renormalization group transformations.
Ron
Dorit
D
Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel.
Swendsen
Robert H
RH
Brandt
Achi
A