MICROCANONICAL DETERMINATION OF THE ORDER PARAMETER CRITICAL EXPONENT

Alfred Hüller and Michel Pleimling
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Alfred Hüller: Institut für Theoretische Physik I, Universität Erlangen-Nürnberg, D – 91058 Erlangen, Germany
Michel Pleimling: Institut für Theoretische Physik I, Universität Erlangen-Nürnberg, D – 91058 Erlangen, Germany

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 07, 947-956

Abstract: A highly efficient Monte Carlo method for the calculation of the density of states of classical spin systems is presented. As an application, we investigate the density of statesΩN(E, M)of two- and three-dimensional Ising models withNspins as a function of energyEand magnetizationM. For a fixed energy lower than a critical valueEc,Nthe density of states exhibits two sharp maxima atM = ± Msp(E)which define the microcanonical spontaneous magnetization. An analysis of the formMsp(E) ∝ (Ec, ∞- E)βεyields very good results for the critical exponent βε, thus demonstrating that critical exponents can be determined by analyzing directly the density of states of finite systems.

Keywords: Monte Carlo method; density of states; microcanonical analysis; classical spin system; critical exponents; 64.60.Fr; 05.10.-a; 05.50.+q; 64.60.-i (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0129183102003693

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