Spatiotemporal Oscillation Patterns in the Collective Relaxation Dynamics of Interacting Particles in Periodic Potentials

摘要

We demonstrate the emergence of self-organized structures in the course ofthe relaxation of an initially excited, dissipative and finite chain ofinteracting particles in a periodic potential towards its many particleequilibrium configuration. Specifically we observe a transition from an inphase correlated motion via phase randomized oscillations towards oscillationswith a phase difference $\pi$ between adjacent particles thereby yielding thegrowth of long time transient spatiotemporal oscillation patterns. Parametermodifications allow for designing these patterns, including steady states andeven states that combine in phase and correlated out of phase oscillationsalong the chain. The complex relaxation dynamics is based on finite sizeeffects together with an evolution running from the nonlinear to the linearregime thereby providing a highly unbalanced population of the center of massand relative motion.