Abstract
One-dimensional monatomic and diatomic chains with harmonic coupling between neighbouring sites and an on-site anharmonic potential V(φ) = Cφ2n+2 + Bφn+2 + Aφ2 + D are examined in the displacive limit, which serves as a model for a structural phase transition. It is shown that these systems admit kinks, nonlinear phonons and periodon solutions. The eigenfunctions of the small oscillations about the kink solutions are also obtained. This complete set of eigenfunctions has been used to investigate the influence of impurities on the amplitude kink for n = 1 case of the potential. The kink solution change near the impurity is evaluated with the help of linear perturbation theory.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. A. Krumhansl and J. R. Schrieffer, Phys. Rev. B11 (1975) 3535.
B. Dey, J. Phys. C: Solid State Physics 19 (1986) 3365.
B. I. Henry and J. Oitmaa, Aust. J. Phys. 36 (1983) 339.
B. Dey, Proc. SSP Symp. (India) 29C (1986) 137 and unpublished (1986).
P. M. Morse and H. Feshbach in Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vol. 2, p. 1651.
V. L. Aksenov, A. Yu. Didyk and R. Zakula, Preprint E17–84–483, JINR, DUBNA (1984).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dey, B. (1988). Nonlinear Chains and Kink-Impurity Interactions. In: Lakshmanan, M. (eds) Solitons. Springer Series in Nonlinear Dynamics . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73193-8_16
Download citation
DOI: https://doi.org/10.1007/978-3-642-73193-8_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-73195-2
Online ISBN: 978-3-642-73193-8
eBook Packages: Springer Book Archive