Mean Field Theories And Dual Variation - Mathematical Structures Of The Mesoscopic Model (atlantis Studies In Mathematics For Engineering And Science)
by Takashi Suzuki /
2015 / English / PDF
3.8 MB Download
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.
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.
