Abstract
In this chapter we discuss several examples of the physical systems where the FK model plays an important role. We demonstrate how to introduce a simplified model accounting for the basic features of the system’s dynamics, and also mention why in many cases the standard FK model should be generalized to take into account other important features, such as nonsinusoidal external potential, anharmonic coupling between the particles, thermal effects, higher dimension effects, etc. However, the main purpose of this chapter is not only to list examples of different physical systems that can be analyzed effectively with the help of the FK model but also provide an important guideline for deriving low-dimensional models in other applications of nonlinear physics.
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© 2004 Springer-Verlag Berlin Heidelberg
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Braun, O.M., Kivshar, Y.S. (2004). Physical Models. In: The Frenkel-Kontorova Model. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10331-9_2
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DOI: https://doi.org/10.1007/978-3-662-10331-9_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07397-7
Online ISBN: 978-3-662-10331-9
eBook Packages: Springer Book Archive