Application of the KAM Theorem to the Frenkel-Kontorova Model
by Professor Bambi Hu
Abstract: The Frenkel-Kontorova (FK) model is an old model first proposed in 1938. It describes a chain of atoms connected by springs in the presence
of an external potential. This deceptively simple model however exhibits very rich and complex behaviors. The FK model has found applications in many physical systems such as adsorbed monolayers, Josephson junctions, charge density waves, magnetic spirals, and tribilogy. The modern study of the FK model was heralded by Aubry by using the powerful Kolmogorov-Arnold-Moser (KAM) theorem. In this talk we will report our recent studies of the static and dynamical properties of the FK model.
For More Information: Paul A. Pearce Email: P.Pearce@ms.unimelb.edu.au