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

書誌事項

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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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

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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