Abstract
We describe a microcanonical ensemble theory with a rigorous statistical mechanics basis which can be used for exact analytic calculations or Monte Carlo simulations of discrete systems. As an example we present results of simulations of a two dimensional Ising model on a square lattice in both the canonical and the microcanonical ensemble. The specific heat shows a difference of 16% for a 30x30 Ising model and 10% for a 60x60 Ising model system in zero magnetic field in 2-dimensions near the maximum in the specific heats.
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© 1997 Springer-Verlag Berlin Heidelberg
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Ray, J.R., Freléchoz, C. (1997). Large Finite-Size Effects of Discrete Systems in Microcanonical Ensemble Monte Carlo Simulations. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics IX. Springer Proceedings in Physics, vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60597-0_13
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DOI: https://doi.org/10.1007/978-3-642-60597-0_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64470-2
Online ISBN: 978-3-642-60597-0
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