Evaporation-condensation transition of the two-dimensional Potts model in the microcanonical ensemble

Tomoaki Nogawa; Nobuyasu Ito; Hiroshi Watanabe

doi:10.1103/PhysRevE.84.061107

Evaporation-condensation transition of the two-dimensional Potts model in the microcanonical ensemble

Tomoaki Nogawa, Nobuyasu Ito, Hiroshi Watanabe

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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. © 2011 American Physical Society.

Original language	English (US)
Journal	Physical Review E
Volume	84
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.84.061107
State	Published - Dec 5 2011
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-I1-005-04
Acknowledgements: This work was partly supported by Award No. KUK-I1-005-04 made by King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.1103/PhysRevE.84.061107

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title = "Evaporation-condensation transition of the two-dimensional Potts model in the microcanonical ensemble",

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. {\textcopyright} 2011 American Physical Society.",

author = "Tomoaki Nogawa and Nobuyasu Ito and Hiroshi Watanabe",

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AU - Ito, Nobuyasu

AU - Watanabe, Hiroshi

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N2 - 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. © 2011 American Physical Society.

AB - 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. © 2011 American Physical Society.

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Evaporation-condensation transition of the two-dimensional Potts model in the microcanonical ensemble

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