BROAD HISTOGRAM METHOD FOR CONTINUOUS SYSTEMS: THE XY-MODEL

José D. Muñoz () and Hans J. Herrmann ()
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José D. Muñoz: Institute for Computer Applications 1, Stuttgart University, Pfaffenwaldring 27, D-70569 Stuttgart, Germany;
Hans J. Herrmann: Institute for Computer Applications 1, Stuttgart University, Pfaffenwaldring 27, D-70569 Stuttgart, Germany

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 01, 95-113

Abstract: We propose a way of implementing the Broad Histogram Monte Carlo method to systems with continuous degrees of freedom, and we apply these ideas to investigate the three-dimensional XY-model with periodic boundary conditions. We have found an excellent agreement between our method and traditional Metropolis results for the energy, the magnetization, the specific heat and the magnetic susceptibility on a very large temperature range. For the calculation of these quantities in the temperature range0.7

Keywords: Monte Carlo simulations; Broad histogram method; 3D XY-Model; Continuous systems; Microcanonical simulations; Density-of-states function (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S0129183199000061

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