Oleg M. Braun, Yuri S. Kivshar

The Frenkel-Kontorova Model (eBook, PDF)

Concepts, Methods, and Applications

• Format: PDF

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 472
• Erscheinungstermin: 14. März 2013
• Englisch
• ISBN-13: 9783662103319
• Artikelnr.: 53088688

Inhaltsangabe

1 Introduction.- 2 Physical Models.- 3 Kinks.- 4 Breathers.- 5 Ground State.- 6 Statistical Mechanics.- 7 Thermalized Dynamics.- 8 Driven Dynamics.- 9 Ratchets.- 10 Finite-Length Chain.- 11 Two-Dimensional Models.- 12 Conclusion.- 13 Historical Remarks.- References.

Rezensionen

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 attractinterest from both solid state physicists and researchers in the nonlinear sciences." (J. Hartley, Contemporary Physics, Vol. 45 (6), 2004)