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

Author:   Takashi Suzuki
Publisher:   Atlantis Press (Zeger Karssen)
Edition:   Second Edition 2015
Volume:   11
ISBN:  

9789462391536


Pages:   444
Publication Date:   01 December 2015
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Our Price $183.71 Quantity:  
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Mean Field Theories and Dual Variation - Mathematical Structures of the Mesoscopic Model


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Overview

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.

Full Product Details

Author:   Takashi Suzuki
Publisher:   Atlantis Press (Zeger Karssen)
Imprint:   Atlantis Press (Zeger Karssen)
Edition:   Second Edition 2015
Volume:   11
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   0.852kg
ISBN:  

9789462391536


ISBN 10:   946239153
Pages:   444
Publication Date:   01 December 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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