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

• Main Author: Suzuki, Takashi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2015.
• Edition: 2nd ed. 2015.
• Series: Atlantis Studies in Mathematics for Engineering and Science, 11
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Calculus of variations.; Biomathematics.; Mathematical physics.; Analysis.; Calculus of Variations and Optimal Control; Optimization.; Mathematical Physics.; Genetics and Population Dynamics.; Physiological, Cellular and Medical Topics.

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 th...

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.