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Série Progress of Theoretical Physics
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Progress of Theoretical Physics, Vol.81 No.3. Statics and Dynamics of the Benard Convection Rolls in an Intermediate-Aspect-Ratio Vessel / H. Yahata
in Progress of theoretical physics
Titre de série : Progress of Theoretical Physics, Vol.81 No.3 Titre : Statics and Dynamics of the Benard Convection Rolls in an Intermediate-Aspect-Ratio Vessel Type de document : articles et extraits Auteurs : H. Yahata, Auteur Année de publication : 1989 Importance : p.592-602 ISBN/ISSN/EAN : 0033-068X Langues : Français (fre) Résumé : Spatial structure and temporal evolution of thermal convection appearing in an intermediate-aspect-ratio box are studied using a model system of coupled-mode equations. The model simultaneously contains two kinds of the mode variables each representing the convection roll state with a definite total number of the rolls. The two are different from each other in the associated total number of the rolls. The 112-mode system is used to clarify spatial and temporal behavior of the convection rolls appearing in a rectangular box of proportions 10 × 4 × 1 at the Prandtl number s = 7. Actual computations were performed for several chosen sets of the total number of the rolls. For the model consisting of the 6- and 10-rolls states, the transition from the 10- to the 6-roll state occurs with an increase of the Rayleigh number R, and an oscillatory motion with the frequency of the order of 10 mHz appears at higher Rayleigh numbers. By contrast, for the model consisting of the 6- and the 8-roll states, the 6-roll state dominates the spatial pattern over a wide range of R, and the system at higher values of R develops extremely slow oscillations with the frequency of the order of 1 mHz. Finally, for the model consisting of the 6- and the 12-roll states, although the 6-roll state likewise dominates the spatial pattern, the frequency of the oscillatory motion at higher values of R turns out to be of the order of 100 mHz, which is comparable to that widely observed in convection experiments on small-aspect-ratio systems.
in Progress of theoretical physics
Progress of Theoretical Physics, Vol.81 No.3. Statics and Dynamics of the Benard Convection Rolls in an Intermediate-Aspect-Ratio Vessel [articles et extraits] / H. Yahata, Auteur . - 1989 . - p.592-602.
ISSN : 0033-068X
Langues : Français (fre)
Résumé : Spatial structure and temporal evolution of thermal convection appearing in an intermediate-aspect-ratio box are studied using a model system of coupled-mode equations. The model simultaneously contains two kinds of the mode variables each representing the convection roll state with a definite total number of the rolls. The two are different from each other in the associated total number of the rolls. The 112-mode system is used to clarify spatial and temporal behavior of the convection rolls appearing in a rectangular box of proportions 10 × 4 × 1 at the Prandtl number s = 7. Actual computations were performed for several chosen sets of the total number of the rolls. For the model consisting of the 6- and 10-rolls states, the transition from the 10- to the 6-roll state occurs with an increase of the Rayleigh number R, and an oscillatory motion with the frequency of the order of 10 mHz appears at higher Rayleigh numbers. By contrast, for the model consisting of the 6- and the 8-roll states, the 6-roll state dominates the spatial pattern over a wide range of R, and the system at higher values of R develops extremely slow oscillations with the frequency of the order of 1 mHz. Finally, for the model consisting of the 6- and the 12-roll states, although the 6-roll state likewise dominates the spatial pattern, the frequency of the oscillatory motion at higher values of R turns out to be of the order of 100 mHz, which is comparable to that widely observed in convection experiments on small-aspect-ratio systems.
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http://ptp.ipap.jp/link?PTP/81/592/URL Progress of Theoretical Physics, Vol.51 No.1. A new expansion of the master equation / H. Mori
in Progress of theoretical physics
Titre de série : Progress of Theoretical Physics, Vol.51 No.1 Titre : A new expansion of the master equation Type de document : articles et extraits Auteurs : H. Mori, Auteur ; H. Fujisaka, Auteur ; Shigematsu, Auteur Année de publication : 1974 Importance : p.109-122 ISBN/ISSN/EAN : 0033-068X Langues : Français (fre)
in Progress of theoretical physics
Progress of Theoretical Physics, Vol.51 No.1. A new expansion of the master equation [articles et extraits] / H. Mori, Auteur ; H. Fujisaka, Auteur ; Shigematsu, Auteur . - 1974 . - p.109-122.
ISSN : 0033-068X
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Code-barres Cote Support Localisation Section Disponibilité ART-7852-0 ART Document imprimé Bureau chercheur Bureau de VERGA Alberto Disponible Progress of Theoretical Physics, Vol. 8, No. 2. On the Formulation of Quantum Mechanics associated with Classical Pictures / Takehiko Takabayasi
in Progress of theoretical physics
Titre de série : Progress of Theoretical Physics, Vol. 8, No. 2 Titre : On the Formulation of Quantum Mechanics associated with Classical Pictures Type de document : articles et extraits Auteurs : Takehiko Takabayasi, Auteur Année de publication : 1952 Importance : p. 143-182 Langues : Français (fre) Résumé : By re-expressing the generalized Schrodinger equation in its coordinate representation in terms of amplitude and phase of the state vector, a quantum-mechanical change of a system can be made to correspond to an ensemble of classical motions of the system to which is added some internal potential. This ensemble may be taken as the statistical. This enables an alternative formulation of quantum mechanics with which is associated that classical picture. Such a formulation leads, however, if developed straightforwardly according to the picture, to a theoretical scheme quite different from that of ordinary quantum mechanics concerning the problems other than the equation of motion. Furthermore, this formulation is not applicable to Fermions when spin, or exclusion principle is taken into account. Bohm's recent renewed form of the statistical interpretation of quantum mechanics referring to this formulation is criticized in several points. On this formulation we can construct a singular ensemble which is shown to correspond to the transformation kernel of the wave function to infinitesimally later instant, and thus a connection between this formulation and that of Feynman's is taken out. Hydrodynamical picture formally equivalent to the statistical picture in one-body problems is also considered, and from such analogy certain formal generalization of Schrodinger equation is suggested.
in Progress of theoretical physics
Progress of Theoretical Physics, Vol. 8, No. 2. On the Formulation of Quantum Mechanics associated with Classical Pictures [articles et extraits] / Takehiko Takabayasi, Auteur . - 1952 . - p. 143-182.
Langues : Français (fre)
Résumé : By re-expressing the generalized Schrodinger equation in its coordinate representation in terms of amplitude and phase of the state vector, a quantum-mechanical change of a system can be made to correspond to an ensemble of classical motions of the system to which is added some internal potential. This ensemble may be taken as the statistical. This enables an alternative formulation of quantum mechanics with which is associated that classical picture. Such a formulation leads, however, if developed straightforwardly according to the picture, to a theoretical scheme quite different from that of ordinary quantum mechanics concerning the problems other than the equation of motion. Furthermore, this formulation is not applicable to Fermions when spin, or exclusion principle is taken into account. Bohm's recent renewed form of the statistical interpretation of quantum mechanics referring to this formulation is criticized in several points. On this formulation we can construct a singular ensemble which is shown to correspond to the transformation kernel of the wave function to infinitesimally later instant, and thus a connection between this formulation and that of Feynman's is taken out. Hydrodynamical picture formally equivalent to the statistical picture in one-body problems is also considered, and from such analogy certain formal generalization of Schrodinger equation is suggested. Réservation
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