Optimized multicanonical simulations: A proposal based on classical fluctuation theory

• Type: Article in International Scientific Journal
• Date: 2006

Authors

Viana V Lopes (Author) Other; Miguel D Costa (Author) Other; Lopes dos Santos, JMBL (Author) FCUP; Toral, R (Author) Other

Journal

Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Vol. 74

ISSN: 1539-3755

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 15 Citations

Scopus - 18 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-004-H09

DOI: 10.1103/physreve.74.046702

Abstract (EN): We propose a 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9