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Molecular dynamics calculation for the modified xy model
Authors:Peter Litz  Stefan Langenbach  Alfred Hüller
Affiliation:(1) Institut für Theoretische Physik I, Universität Erlangen, W-8520 Erlangen, Germany;(2) Present address: Siemens AG, Munich, Germany;(3) Present address: Neugebauer Software, Nuremberg, Germany
Abstract:In order to demonstrate the effectiveness of molecular dynamics (MD) for the determination of the density of states of a system that suffers an abrupt change of state, we have performed extensive calculations for the modified rotor model, defined by the interaction potentialV(phiv) = 2J{1 – [cos(phiv/2)]p2} between neighboring rotors. Our results for 2-dimensionalL×L lattices withL=8, 16, 32, and 64 demonstrate clearly that the transition is continuous forp2les24, but suggest a first-order transition forp2ges28.
Keywords:Modifiedxy model  first order-transitions  molecular dynamics calculations.
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