Multicanonical Multigrid Monte Carlo

Abstract

To further improve the performance of Monte Carlo simulations of first-order phase transitions we propose to combine the multicanonical approach with multigrid techniques. We report tests of this proposition for the $d$-dimensional ${\Phi }^4$ field theory in two different situations. First, we study quantum tunneling for $d=1$ in the continuum limit, and second, we investigate first-order phase transitions for $d=2$ in the infinite volume limit. Compared with standard multicanonical simulations we obtain improvement factors of several resp. of about one order of magnitude.

12 pages LaTex, 1 PS figure appended. FU-Berlin preprint FUB-HEP 9/93

References in corpus (7)

• Multicanonical Ensemble: A New Approach to Simulate First-order Phase Transitions
• Properties of Interfaces in the two and three dimensional Ising Model
• Monte Carlo Calculation of the Surface Free Energy for the 2d 7-state Potts Model, and an Estimate for 4d SU(3) Gauge Theory
• Observation of FSS for a First Order Phase Transition
• Multicanonical Cluster Algorithm and the 2-D 7-State Potts Model
• The Confined-Deconfined Interface Tension in Quenched QCD using the Histogram Method
• A Multicanonical Algorithm and the Surface Free Energy in SU(3) Pure Gauge Theory

Cited by in corpus (10)

• Multibondic Cluster Algorithm for Monte Carlo Simulations of First-Order Phase Transitions
• Generalized Ensemble Simulations for Complex Systems
• Optimal Energy Estimation in Path-Integral Monte Carlo Simulations
• Application of Multicanonical Multigrid Monte Carlo Method to the Two-Dimensional ${\varphi }^4$-Model: Autocorrelations and Interface Tension
• Overcoming the critical slowing down of flat-histogram Monte Carlo simulations: Cluster updates and optimized broad-histogram ensembles
• Fast Flat-Histogram Method for Generalized Spin Models
• Multigrid Method versus Staging Algorithm for PIMC Simulations
• Introduction to Multicanonical Monte Carlo Simulations
• Autocorrelation study of the Θ transition for a coarse-grained polymer model
• Multilevel Monte Carlo for quantum mechanics on a lattice