Simulation and Visualization of collective dynamics

Abstract

I present a computational simulation and the corresponding interactive visualization of a two-dimensional system of hard disk oscillators obeying Langevin dynamics and interacting. The visualization is carried out through a real-time 3D graphics package from Python called Visual Python, which allows visualization with a higher degree of interactivity. The Kuramoto model will be implemented as a mathematical model used to describe the synchronization of a large set of weakly coupled oscillators. The simulation results confirm that in the absence of hard core interactions the time required to synchronize increases linearly with the particle density. Excluded volume interactions lead to a more involved dependence of synchronization time with particle density.