Phase Transition between Stationary States. II : Liapounoff Function in Benard Problem
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概要
- 論文の詳細を見る
At first the method of constructing the Liapounoff function which gives the necessary and sufficient criterion for the stability of a stationary state is presented. It is shown that it amounts to finding the scalar product with respect to which the operator appearing in the equation of motion becomes symmetric. Next the Liapounoff function with this property is constructed in the case of Benard problem. It is demonstrated that in this special case the symmetrization of the operator can be effected by introducing a suitable weighting function in the expression for the general evolution criterion, but it cannot be effected by introducing a weighting function in the excess entropy production.
- 理論物理学刊行会の論文
- 1975-02-25
著者
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Hori Jun-ichi
Department Of Physics Hokkaido University
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Hori Junichi
Department Of Physics Hokkaido University
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SHIMADA Ippei
Atomic Energy research Institute, College of Science and Technology Nihon University
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Shimada Ippei
Department Of Physics Hokkaido University
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Shimada Ippei
Department Of Physic Hokkaido University
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Hori Jun-ichi
Department Of Physics Faculty Of Science Hokkaido University
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SHIMADA Ippei
Department of Physics, Hokkaido University
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Hori Junichi
Department of Physics, Hokkaido University
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