Inverse Monte Carlo Renormalization Group Transformations for Critical Phenomena
- 18 December 2002
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 89 (27) , 275701
- https://doi.org/10.1103/physrevlett.89.275701
Abstract
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.Keywords
This publication has 8 references indexed in Scilit:
- Calculation of effective Hamiltonians for renormalized or non-Hamiltonian systemsPhysical Review E, 2001
- Renormalization Multigrid (RMG): Statistically Optimal Renormalization Group Flow and Coarse-to-Fine Monte Carlo AccelerationJournal of Statistical Physics, 2001
- Monte Carlo Renormalization of the 3D Ising Model: Analyticity and ConvergencePhysical Review Letters, 1996
- Monte Carlo renormalized hamiltonianPhysics Letters A, 1984
- Monte Carlo calculation of renormalized coupling parameters. I.Ising modelPhysical Review B, 1984
- Monte Carlo calculation of renormalized coupling parameters. II.Ising modelPhysical Review B, 1984
- Monte Carlo Calculation of Renormalized Coupling ParametersPhysical Review Letters, 1984
- Monte Carlo Renormalization GroupPhysical Review Letters, 1979