Regensburg 2016 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Poster - Complex nonlinear systems

DY 30.2: Poster

Dienstag, 8. März 2016, 18:15–21:00, Poster C

From Number Theory to dynamics of ac+dc driven Frenkel-Kontorova model — •Jovan Odavic — Aachen University

The Frenkel - Kontorova (FK) model is widely used to describe systems where competition between length scales determines the ground state energy. Dissipative FK model has been often used as one of the most suitable models for description of different kinds of phenomena in many fields of physics, such as charge or spin density wave systems, vortex lattices, Josephson-junction arrays biased by external currents and in recent years even superconducting nanowires. Main feature of the model is the appearance of a step-like ( or staircase) behaviour in the response function which are due to dynamical mode-locking (synchronization) of the internal frequency with the applied external one. We will explore these step-like features and their connection to some number theory results.

Key reference: - J. Odavic, P. Mali, J. Tekic, Farey sequence in the appearance of subharmonic Shapiro steps, Phys. Rev. E 91, 052904 - J. Odavic, P. Mali, J. Tekic, M. Pantic, M. Pavkov Hrvojevic, Application of largest Lyapunov exponent analysis on the studies of dynamics under external forces, pre-print: http://arxiv.org/abs/1510.07267