title: Extended canonical Monte Carlo methods: Improving accuracy of microcanonical calculations using a reweighting technique.
abstract: Velazquez and Curilef [J. Stat. Mech. (2010); J. Stat. Mech. (2010)] have proposed a methodology to extend Monte Carlo algorithms that are based on canonical ensemble. According to our previous study, their proposal allows us to overcome slow sampling problems in systems that undergo any type of temperature-driven phase transition. After a comprehensive review about ideas and connections of this framework, we discuss the application of a reweighting technique to improve the accuracy of microcanonical calculations, specifically, the well-known multihistograms method of Ferrenberg and Swendsen [Phys. Rev. Lett. 63, 1195 (1989)]. As an example of application, we reconsider the study of the four-state Potts model on the square lattice L×L with periodic boundary conditions. This analysis allows us to detect the existence of a very small latent heat per site qL during the occurrence of temperature-driven phase transition of this model, whose size dependence seems to follow a power law qL(L)∝(1/L)z with exponent z≃0.26±0.02. Discussed is the compatibility of these results with the continuous character of temperature-driven phase transition when L→+∞.
authors: Departamento de Física, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta, Chile.
authors: L
authors: L
authors: Velazquez
authors: Department of Chemistry, University of Basel, Klingelbergstr. 80, 4056 Basel, Switzerland.
authors: J C
authors: JC
authors: Castro-Palacio