Static and dynamical aspects of the metastable states of first order transition systems

Tomoaki Nogawa; Nobuyasu Ito; Hiroshi Watanabe

doi:10.1016/j.phpro.2011.06.003

Static and dynamical aspects of the metastable states of first order transition systems

Tomoaki Nogawa, Nobuyasu Ito, Hiroshi Watanabe

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Scopus citations

Abstract

We numerically study the metastable states of the 2d Potts model. Both of equilibrium and relaxation properties are investigated focusing on the finite size effect. The former is investigated by finding the free energy extremal point by the Wang-Landau sampling and the latter is done by observing the Metropolis dynamics after sudden heating. It is explicitly shown that with increasing system size the equilibrium spinodal temperature approaches the bistable temperature in a power-law and the size-dependence of the nucleation dynamics agrees with it. In addition, we perform finite size scaling of the free energy landscape at the bistable point.

Original language	English (US)
Title of host publication	Physics Procedia
Publisher	Elsevier BV
Pages	76-80
Number of pages	5
DOIs	https://doi.org/10.1016/j.phpro.2011.06.003
State	Published - Jul 22 2011
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2022-06-24
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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10.1016/j.phpro.2011.06.003

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title = "Static and dynamical aspects of the metastable states of first order transition systems",

abstract = "We numerically study the metastable states of the 2d Potts model. Both of equilibrium and relaxation properties are investigated focusing on the finite size effect. The former is investigated by finding the free energy extremal point by the Wang-Landau sampling and the latter is done by observing the Metropolis dynamics after sudden heating. It is explicitly shown that with increasing system size the equilibrium spinodal temperature approaches the bistable temperature in a power-law and the size-dependence of the nucleation dynamics agrees with it. In addition, we perform finite size scaling of the free energy landscape at the bistable point.",

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

note = "KAUST Repository Item: Exported on 2022-06-24 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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doi = "10.1016/j.phpro.2011.06.003",

language = "English (US)",

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T1 - Static and dynamical aspects of the metastable states of first order transition systems

AU - Nogawa, Tomoaki

AU - Ito, Nobuyasu

AU - Watanabe, Hiroshi

N1 - KAUST Repository Item: Exported on 2022-06-24 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.

PY - 2011/7/22

Y1 - 2011/7/22

N2 - We numerically study the metastable states of the 2d Potts model. Both of equilibrium and relaxation properties are investigated focusing on the finite size effect. The former is investigated by finding the free energy extremal point by the Wang-Landau sampling and the latter is done by observing the Metropolis dynamics after sudden heating. It is explicitly shown that with increasing system size the equilibrium spinodal temperature approaches the bistable temperature in a power-law and the size-dependence of the nucleation dynamics agrees with it. In addition, we perform finite size scaling of the free energy landscape at the bistable point.

AB - We numerically study the metastable states of the 2d Potts model. Both of equilibrium and relaxation properties are investigated focusing on the finite size effect. The former is investigated by finding the free energy extremal point by the Wang-Landau sampling and the latter is done by observing the Metropolis dynamics after sudden heating. It is explicitly shown that with increasing system size the equilibrium spinodal temperature approaches the bistable temperature in a power-law and the size-dependence of the nucleation dynamics agrees with it. In addition, we perform finite size scaling of the free energy landscape at the bistable point.

UR - http://hdl.handle.net/10754/679315

UR - https://linkinghub.elsevier.com/retrieve/pii/S1875389211003348

UR - http://www.scopus.com/inward/record.url?scp=84856856779&partnerID=8YFLogxK

U2 - 10.1016/j.phpro.2011.06.003

DO - 10.1016/j.phpro.2011.06.003

M3 - Conference contribution

SP - 76

EP - 80

BT - Physics Procedia

PB - Elsevier BV

ER -

Static and dynamical aspects of the metastable states of first order transition systems

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