Mean field theories and dual variation - mathematical structures of the Mesoscopic model [electronic resource]
- 作者： Suzuki, Takashi.
- 其他作者：
- 其他題名：
- Atlantis studies in mathematics for engineering and science,
- 出版： Paris : Atlantis Press :Imprint: Atlantis Press
- 版本：2nd ed.
- 叢書名： Atlantis studies in mathematics for engineering and science,v.11
- 主題： Mathematics , Mathematical analysis , Calculus of variations , Biomathematics , Mathematical physics , Analysis. , Calculus of Variations and Optimal Control; Optimization. , Genetics and Population Dynamics , Physiological, Cellular and Medical Topics.
- ISBN： 9789462391543 (electronic bk.) 、 9789462391536 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Chemotaxis -- Time Relaxization -- Toland Duality -- Phenomenology -- Phase Transition -- Critical Phenomena of Isolated Systems -- Self-Interacting Fluids -- Magnetic Fields -- Boltzmann-Poisson Equation -- Particle Kinetics -- Parabolic Equations -- Gauge Fields -- Higher- Dimensional Blowup.
- 摘要註: Mean field approximation has been adopted to describe macroscopic phenomena from microscopic overviews. It is still in progress; fluid mechanics, gauge theory, plasma physics, quantum chemistry, mathematical oncology, non-equilibirum thermodynamics. spite of such a wide range of scientific areas that are concerned with the mean field theory, a unified study of its mathematical structure has not been discussed explicitly in the open literature. The benefit of this point of view on nonlinear problems should have significant impact on future research, as will be seen from the underlying features of self-assembly or bottom-up self-organization which is to be illustrated in a unified way. The aim of this book is to formulate the variational and hierarchical aspects of the equations that arise in the mean field theory from macroscopic profiles to microscopic principles, from dynamics to equilibrium, and from biological models to models that arise from chemistry and physics.
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讀者標籤：
- 系統號： 005137411 | 機讀編目格式
館藏資訊
Mean field approximation has been adopted to describe macroscopic phenomena from microscopic overviews. It is still in progress; fluid mechanics, gauge theory, plasma physics, quantum chemistry, mathematical oncology, non-equilibirum thermodynamics. spite of such a wide range of scientific areas that are concerned with the mean field theory, a unified study of its mathematical structure has not been discussed explicitly in the open literature. The benefit of this point of view on nonlinear problems should have significant impact on future research, as will be seen from the underlying features of self-assembly or bottom-up self-organization which is to be illustrated in a unified way. The aim of this book is to formulate the variational and hierarchical aspects of the equations that arise in the mean field theory from macroscopic profiles to microscopic principles, from dynamics to equilibrium, and from biological models to models that arise from chemistry and physics.