Save 40% on select Business & Management books + FREE shipping or 50% on Physics eBooks!

Atlantis Studies in Mathematics for Engineering and Science

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

Authors: Suzuki, Takashi

Free Preview
  • Clarifying common mathematical structures used in wide area of sciences; physics, chemistry, biology
  • Striking mathematical phenomena emerged from these structures, recognized only by these new points of view; quantized blowup mechanism, spatially homogenization, interface regularity, and so forth
  • Linking of physical principles and mathematical analysis to nonlinear non-stationary models, that is the nonlinear spectral mechanics, especially valid in the region of near from equilibrium
see more benefits

Buy this book

eBook $99.00
price for USA in USD (gross)
  • ISBN 978-94-6239-154-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA in USD
  • ISBN 978-94-6239-153-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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 (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $99.00
price for USA in USD (gross)
  • ISBN 978-94-6239-154-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA in USD
  • ISBN 978-94-6239-153-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Mean Field Theories and Dual Variation - Mathematical Structures of the Mesoscopic Model
Authors
Series Title
Atlantis Studies in Mathematics for Engineering and Science
Series Volume
11
Copyright
2015
Publisher
Atlantis Press
Copyright Holder
Atlantis Press and the author(s)
eBook ISBN
978-94-6239-154-3
DOI
10.2991/978-94-6239-154-3
Hardcover ISBN
978-94-6239-153-6
Series ISSN
1875-7642
Edition Number
2
Number of Pages
XIII, 444
Topics