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: Contribution to journal › Conference article › peer-review

4 Citations (Scopus)

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
Pages (from-to)	76-80
Number of pages	5
Journal	Physics Procedia
Volume	15
DOIs	https://doi.org/10.1016/j.phpro.2011.06.003
Publication status	Published - 2011
Externally published	Yes
Event	24th Annual Workshop on Recent Developments in Computer Simulation Studies in Condensed Matter Physics, CSP 2011 - Athens, GA, United States Duration: 2011 Feb 21 → 2011 Feb 25

Keywords

First order transition
Hysteresis
Nucleation

ASJC Scopus subject areas

Physics and Astronomy(all)

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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.",

keywords = "First order transition, Hysteresis, Nucleation",

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

note = "Funding Information: This work was partly supported by Award No. and Technology (KAUST).; 24th Annual Workshop on Recent Developments in Computer Simulation Studies in Condensed Matter Physics, CSP 2011 ; Conference date: 21-02-2011 Through 25-02-2011",

year = "2011",

doi = "10.1016/j.phpro.2011.06.003",

language = "English",

volume = "15",

pages = "76--80",

journal = "Physics Procedia",

issn = "1875-3884",

publisher = "Elsevier BV",

}

TY - JOUR

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

AU - Nogawa, Tomoaki

AU - Ito, Nobuyasu

AU - Watanabe, Hiroshi

N1 - Funding Information: This work was partly supported by Award No. and Technology (KAUST).

PY - 2011

Y1 - 2011

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.

KW - First order transition

KW - Hysteresis

KW - Nucleation

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

U2 - 10.1016/j.phpro.2011.06.003

DO - 10.1016/j.phpro.2011.06.003

M3 - Conference article

AN - SCOPUS:84856856779

SN - 1875-3884

VL - 15

SP - 76

EP - 80

JO - Physics Procedia

JF - Physics Procedia

T2 - 24th Annual Workshop on Recent Developments in Computer Simulation Studies in Condensed Matter Physics, CSP 2011

Y2 - 21 February 2011 through 25 February 2011

ER -

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

Abstract

Keywords

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