Description

Book Synopsis
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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Mean Field Theories and Dual Variation - Mathematical Structures of the Mesoscopic Model

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    A Hardback by Takashi Suzuki

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      View other formats and editions of Mean Field Theories and Dual Variation - Mathematical Structures of the Mesoscopic Model by Takashi Suzuki

      Publisher: Atlantis Press (Zeger Karssen)
      Publication Date: 01/12/2015
      ISBN13: 9789462391536, 978-9462391536
      ISBN10: 946239153X
      Also in:
      Mathematics Calculus and mathematical analysis Optimization Mathematical / Computational / Theoretical physics

      Description

      Book Synopsis
      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.

      Table of Contents





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