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Published on: December 4, 2017
Evaporation-condensation transition of the two-dimensional Potts model in the microcanonical ensemble
Tomoaki Nogawa1, Nobuyasu Ito, Hiroshi Watanabe
1Department of Applied Physics, The University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan. nogawa@serow.t.u-tokyo.ac.jp
Abstract:
The evaporation-condensation transition of the Potts model on a square lattice is numerically investigated by the Wang-Landau sampling method. An intrinsically system-size-dependent discrete transition between supersaturation state and phase-separation state is observed in the microcanonical ensemble by changing constrained internal energy. We calculate the microcanonical temperature, as a derivative of microcanonical entropy, and condensation ratio, and perform a finite-size scaling of them to indicate the clear tendency of numerical data to converge to the infinite-size limit predicted by phenomenological theory for the isotherm lattice gas model.
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