Extreme long-time dynamic Monte Carlo simulations for metastable decay in the d = 3 Ising ferromagnet

Miroslav Kolesik; M. A. Novotny; Per Arne Rikvold

doi:10.1142/S0129183103004279

Extreme long-time dynamic Monte Carlo simulations for metastable decay in the d = 3 Ising ferromagnet

Miroslav Kolesik, M. A. Novotny, Per Arne Rikvold

Optical Sciences

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We study the extreme long-time behavior of the metastable phase of the three-dimensional Ising model with Glauber dynamics in an applied magnetic field and at a temperature below the critical temperature. For these simulations, we use the advanced simulation method of projective dynamics. The algorithm is described in detail, together with its application to the escape from the metastable state. Our results for the field dependence of the metastable lifetime are in good agreement with theoretical expectations and span more than 50 decades in time.

Original language	English (US)
Pages (from-to)	121-131
Number of pages	11
Journal	International Journal of Modern Physics C
Volume	14
Issue number	1
DOIs	https://doi.org/10.1142/S0129183103004279
State	Published - Jan 2003

Keywords

Dynamic Monte Carlo
Ising
Metastability
Time scales

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Computer Science Applications
Computational Theory and Mathematics

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10.1142/S0129183103004279

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abstract = "We study the extreme long-time behavior of the metastable phase of the three-dimensional Ising model with Glauber dynamics in an applied magnetic field and at a temperature below the critical temperature. For these simulations, we use the advanced simulation method of projective dynamics. The algorithm is described in detail, together with its application to the escape from the metastable state. Our results for the field dependence of the metastable lifetime are in good agreement with theoretical expectations and span more than 50 decades in time.",

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note = "Funding Information: Useful discussions with S. J. Mitchell are acknowledged. This research was funded partly by the US National Science Foundation through grants DMR-9871455 and DMR-0120310. Miroslav Kolesik was partly supported by the Slovak Grant Agency through Grant 2/7174/20.",

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AU - Kolesik, Miroslav

AU - Novotny, M. A.

AU - Rikvold, Per Arne

N1 - Funding Information: Useful discussions with S. J. Mitchell are acknowledged. This research was funded partly by the US National Science Foundation through grants DMR-9871455 and DMR-0120310. Miroslav Kolesik was partly supported by the Slovak Grant Agency through Grant 2/7174/20.

PY - 2003/1

Y1 - 2003/1

N2 - We study the extreme long-time behavior of the metastable phase of the three-dimensional Ising model with Glauber dynamics in an applied magnetic field and at a temperature below the critical temperature. For these simulations, we use the advanced simulation method of projective dynamics. The algorithm is described in detail, together with its application to the escape from the metastable state. Our results for the field dependence of the metastable lifetime are in good agreement with theoretical expectations and span more than 50 decades in time.

AB - We study the extreme long-time behavior of the metastable phase of the three-dimensional Ising model with Glauber dynamics in an applied magnetic field and at a temperature below the critical temperature. For these simulations, we use the advanced simulation method of projective dynamics. The algorithm is described in detail, together with its application to the escape from the metastable state. Our results for the field dependence of the metastable lifetime are in good agreement with theoretical expectations and span more than 50 decades in time.

KW - Dynamic Monte Carlo

KW - Ising

KW - Metastability

KW - Time scales

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Extreme long-time dynamic Monte Carlo simulations for metastable decay in the d = 3 Ising ferromagnet

Abstract

Keywords

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