The Frenkel-Kontorova Model
Subtitle: Concepts, Methods, and Applications
By: by Oleg M. Braun, Yuri S. Kivshar
Contributors: Kivshar, Yuri S.
Series: Texts and Monographs in Physics; Texts and Monographs in Physics
Publisher: Springer Berlin Heidelberg
Published: 2004
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 475
ISBN-13: 9783642073977; 9783662103319
Subjects: Surfaces (Physics); Physics
Description: 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.
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Table of contents: title: From the contents: Introduction; title: Physical Models; title: Kinks; title: Breathers; title: The Ground-State Problem; title: Statistical Mechanics; title: T =/ 0 Dynamics; title: Driven Systems; title: Ratchets; title: Chain of a Finite Length; title: Two-Dimensional Models; title: Conclusion.