Theoretical and Mathematical Physics

The Frenkel-Kontorova Model

Concepts, Methods, and Applications

Authors: Braun, Oleg M., Kivshar, Yuri

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eBook 101,14 €
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  • ISBN 978-3-662-10331-9
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Hardcover 124,75 €
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Softcover 124,75 €
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  • ISBN 978-3-642-07397-7
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About this book

This book presents an overview of the basic concepts, methods and applications of nonlinear low-dimensional solid-state physics based on the Frenkel--Kontorova model and its generalizations. It allows a nonspecialist to acquire foundations in the interdisciplinary concepts and methods of both solid-state physics and nonlinear science. It covers many important topics such as the nonlinear dynamics of discrete systems, the dynamics of solitons and their interaction, commensurate and incommensurate systems, statistical mechanics of nonlinear systems, ratchets, and nonequilibrium dynamics of interacting many-body systems. Also treated are the principal nonlinear equations along with the properties of their localized solutions and methods for their analysis.

 

Reviews

From the reviews:

"[...] the book of Oleg Braun and Yury Kivshar deserves one's close attention and provides thorough insight into a well-known physical paradigm. The sheer fact of providing all this information in one piece of work deserves its own merit, and the contribution of the authors' own work bears its own value. The volume will undoubtedly prove to be a valuable source of information to researchers who are familiar with soliton theories, and will provide inspiration to those less familiar." (Physicalia 2005, 57, page 209)

"Braun and Kivshar have managed to write a comparatively compact and yet informative description of the FK model. It is stocked with a huge reference list that is invaluable for any serious researcher. The authors avoid delving into specific applications in order to concentrate on making transparent the fundamental physical concepts. Hence, the contents of the book should attract interest from both solid state physicists and researchers in the nonlinear sciences." (Contemporary Physics 2004, 45, page 537-538) 

"The book of Oleg Braun and Yury Kivshar deserves one’s close attention and provides thorough insight into a well-known physical paradigm. The sheer fact of providing all this information (previously dispersed among numerous technical articles) in one piece of work deserves its own merit, and the contribution of the author’s own work bears its own value. The volume will undoubtedly prove to be a valuable source of information to researchers who are familiar with soliton theories, and will provide inspiration to those less familiar." (Ioannis Kourakis, Physicalia, Vol. 57 (3), 2005)

"The book has thirteen chapters. … It is stocked with a huge reference list that is invaluable for any serious researcher. The authors avoid delving into specific applications in order to concentrate on making transparent the fundamental physical concepts. Hence, the contents of the book should attract interest from both solid state physicists and researchers in the nonlinear sciences." (J. Hartley, Contemporary Physics, Vol. 45 (6), 2004)


Table of contents (13 chapters)

Buy this book

eBook 101,14 €
price for Spain (gross)
  • ISBN 978-3-662-10331-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,75 €
price for Spain (gross)
  • ISBN 978-3-540-40771-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 124,75 €
price for Spain (gross)
  • ISBN 978-3-642-07397-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The Frenkel-Kontorova Model
Book Subtitle
Concepts, Methods, and Applications
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-10331-9
DOI
10.1007/978-3-662-10331-9
Hardcover ISBN
978-3-540-40771-3
Softcover ISBN
978-3-642-07397-7
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XVIII, 472
Topics