Fluctuation-induced first-order transition and dynamic scaling in Rayleigh-Bénard convection

Y. Shiwa; H. Matsunaga; M. Yoshikawa; H. Yoshitomi

doi:10.1103/PhysRevE.49.2082

Fluctuation-induced first-order transition and dynamic scaling in Rayleigh-Bénard convection

Y. Shiwa, H. Matsunaga, M. Yoshikawa, H. Yoshitomi

Hydrogen Utilization Engineering

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Abstract

We study the ordering dynamics of the Rayleigh-Bénard convective patterns using the cell-dynamical-system model. Evidence for a fluctuation-induced first-order transition is presented. The simulation result confirms the theoretical prediction to exhibit the dynamic scaling with a characteristic length scale l(t)∼t1/2.

Original language	English
Pages (from-to)	2082-2086
Number of pages	5
Journal	Physical Review E
Volume	49
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.49.2082
Publication status	Published - 1994

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.49.2082

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title = "Fluctuation-induced first-order transition and dynamic scaling in Rayleigh-B{\'e}nard convection",

abstract = "We study the ordering dynamics of the Rayleigh-B{\'e}nard convective patterns using the cell-dynamical-system model. Evidence for a fluctuation-induced first-order transition is presented. The simulation result confirms the theoretical prediction to exhibit the dynamic scaling with a characteristic length scale l(t)∼t1/2.",

author = "Y. Shiwa and H. Matsunaga and M. Yoshikawa and H. Yoshitomi",

year = "1994",

doi = "10.1103/PhysRevE.49.2082",

language = "English",

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AU - Shiwa, Y.

AU - Matsunaga, H.

AU - Yoshikawa, M.

AU - Yoshitomi, H.

PY - 1994

Y1 - 1994

N2 - We study the ordering dynamics of the Rayleigh-Bénard convective patterns using the cell-dynamical-system model. Evidence for a fluctuation-induced first-order transition is presented. The simulation result confirms the theoretical prediction to exhibit the dynamic scaling with a characteristic length scale l(t)∼t1/2.

AB - We study the ordering dynamics of the Rayleigh-Bénard convective patterns using the cell-dynamical-system model. Evidence for a fluctuation-induced first-order transition is presented. The simulation result confirms the theoretical prediction to exhibit the dynamic scaling with a characteristic length scale l(t)∼t1/2.

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DO - 10.1103/PhysRevE.49.2082

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JO - Physical Review E

JF - Physical Review E

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Fluctuation-induced first-order transition and dynamic scaling in Rayleigh-Bénard convection

Abstract

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