Entropy Change through Rayleigh-Bénard Convective Transition with Rigid Boundaries

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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5 pages, 4 figures

Scientific paper

10.1143/JPSJ.76.064006

The previous investigation on Rayleigh-B\'enard convection of a dilute classical gas [T. Kita: J. Phys. Soc. Jpn. {\bf 75} (2006) 124005] is extended to calculate entropy change of the convective transition with the rigid boundaries. We obtain results qualitatively similar to those of the stress-free boundaries. Above the critical Rayleigh number, the roll convection is realized among possible steady states with periodic structures, carrying the highest entropy as a function of macroscopic mechanical variables.

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