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

Handle URI:
http://hdl.handle.net/10754/598257
Title:
Evaporation-condensation transition of the two-dimensional Potts model in the microcanonical ensemble
Authors:
Nogawa, Tomoaki; Ito, Nobuyasu; Watanabe, Hiroshi
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.
Citation:
Nogawa T, Ito N, Watanabe H (2011) Evaporation-condensation transition of the two-dimensional Potts model in the microcanonical ensemble. Phys Rev E 84. Available: http://dx.doi.org/10.1103/PhysRevE.84.061107.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
KAUST Grant Number:
KUK-I1-005-04
Issue Date:
5-Dec-2011
DOI:
10.1103/PhysRevE.84.061107
PubMed ID:
22304040
Type:
Article
ISSN:
1539-3755; 1550-2376
Sponsors:
This work was partly supported by Award No. KUK-I1-005-04 made by King Abdullah University of Science and Technology (KAUST).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorNogawa, Tomoakien
dc.contributor.authorIto, Nobuyasuen
dc.contributor.authorWatanabe, Hiroshien
dc.date.accessioned2016-02-25T13:17:32Zen
dc.date.available2016-02-25T13:17:32Zen
dc.date.issued2011-12-05en
dc.identifier.citationNogawa T, Ito N, Watanabe H (2011) Evaporation-condensation transition of the two-dimensional Potts model in the microcanonical ensemble. Phys Rev E 84. Available: http://dx.doi.org/10.1103/PhysRevE.84.061107.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid22304040en
dc.identifier.doi10.1103/PhysRevE.84.061107en
dc.identifier.urihttp://hdl.handle.net/10754/598257en
dc.description.abstractThe 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.en
dc.description.sponsorshipThis work was partly supported by Award No. KUK-I1-005-04 made by King Abdullah University of Science and Technology (KAUST).en
dc.publisherAmerican Physical Society (APS)en
dc.titleEvaporation-condensation transition of the two-dimensional Potts model in the microcanonical ensembleen
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionUniversity of Tokyo, Tokyo, Japanen
kaust.grant.numberKUK-I1-005-04en

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