Title: The Frenkel-Kontorova Model
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.
Subjects: Surfaces (Physics), Physics, Solid state physics, Nonlinear theories, Dynamical Systems and Complexity Statistical Physics, Spectroscopy and Microscopy, Thin Films Surfaces and Interfaces, Mathematical and Computational Physics Theoretical, Condensed Matter Physics