Particles and Fields in Superfluids: Insights from the Two-dimensional Gross-Pitaevskii Equation

etc15 Tracking Number 186

We study the dynamics of active particles in two-dimensional superfluids at temperature $T=0$, for a variety of initial configurations, by carrying out extensive direct-numerical-simulations of the two-dimensional, Galerkin-truncated Gross-Pitaevskii equation. Our study elucidates the interplay of particles and fields, in both simple and turbulent flows. We show that particle collisions can be inelastic, if the repulsive interactions between particles is weak, and elastic otherwise. We show that assemblies of many particles and vortices yield turbulent spatiotemporal evolutions.