Optimized multicanonical simulations: a new proposal based on classical fluctuation theory

Abstract

We propose a new recursive procedure to estimate the microcanonical density of states in multicanonical Monte Carlo simulations which relies only on measurements of moments of the energy distribution, avoiding entirely the need for energy histograms. This method yields directly a piecewise analytical approximation to the microcanonical inverse temperature, $\beta (E)$, and allows improved control over the statistics and efficiency of the simulations. We demonstrate its utility in connection with recently proposed schemes for improving the efficiency of multicanonical sampling, either with adjustment of the asymptotic energy distribution or with the replacement of single spin flip dynamics with collective updates.

8 pages, 10 figures

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Cited by in corpus (11)

• The density of states in gauge theories
• Microcanonical Approach to the Simulation of First-Order Phase Transitions
• Doubly degenerate orbital system in honeycomb lattice: implication of orbital state in layered iron oxide
• Searching for continuous phase transitions in 5D SU(2) lattice gauge theory
• Wang-Landau/Multibondic Cluster Simulations for Second-Order Phase Transitions
• Monte Carlo Sampling in Fractal Landscapes
• Efficiency of Monte Carlo Sampling in Chaotic Systems
• Importance Sampling of Rare Events in Chaotic Systems
• Extending canonical Monte Carlo methods
• Extended canonical Monte Carlo methods: Improving accuracy of microcanonical calculations using a re-weighting technique
• Projected single-spin flip dynamics in the Ising Model