The Frenkel-Kontorova model : concepts, methods, and applications

Bibliographic Information

The Frenkel-Kontorova model : concepts, methods, and applications

O.M. Braun, Y.S. Kivshar

(Texts and monographs in physics)

Springer, c2004

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Includes bibliographical references and index

Description and Table of Contents

Description

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. The book 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, and nonequilibrium dynamics of interacting many-body systems.

Table of Contents

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.

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