Ebook: The Frenkel-Kontorova Model: Concepts, Methods, and Applications
- Genre: Physics // Solid State Physics
- Tags: Statistical Physics Dynamical Systems and Complexity, Solid State Physics, Spectroscopy and Microscopy, Surfaces and Interfaces Thin Films, Theoretical Mathematical and Computational Physics, Condensed Matter Physics
- Series: Texts and Monographs in Physics
- Year: 2004
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages I-XVIII
Introduction....Pages 1-8
Physical Models....Pages 9-30
Kinks....Pages 31-98
Breathers....Pages 99-140
Ground State....Pages 141-194
Statistical Mechanics....Pages 195-242
Thermalized Dynamics....Pages 243-290
Driven Dynamics....Pages 291-342
Ratchets....Pages 343-364
Finite-Length Chain....Pages 365-382
Two-Dimensional Models....Pages 383-430
Conclusion....Pages 431-434
Historical Remarks....Pages 435-440
Back Matter....Pages 441-475
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.
Content:
Front Matter....Pages I-XVIII
Introduction....Pages 1-8
Physical Models....Pages 9-30
Kinks....Pages 31-98
Breathers....Pages 99-140
Ground State....Pages 141-194
Statistical Mechanics....Pages 195-242
Thermalized Dynamics....Pages 243-290
Driven Dynamics....Pages 291-342
Ratchets....Pages 343-364
Finite-Length Chain....Pages 365-382
Two-Dimensional Models....Pages 383-430
Conclusion....Pages 431-434
Historical Remarks....Pages 435-440
Back Matter....Pages 441-475
....