Collapse versus Turbulence

TL;DR

This paper investigates how Chern-Simons gauge fields influence self-focusing in a (2+1)-dimensional nonlinear Schrödinger model, revealing reduced critical power and the emergence of turbulence-like behavior under certain boundary conditions.

Contribution

It demonstrates the impact of Chern-Simons gauge fields on self-focusing thresholds and identifies conditions for turbulent hydrodynamic regimes in the model.

Findings

Chern-Simons fields lower the critical power for self-focusing

Existence of turbulence-like regimes under specific boundary conditions

Hydrodynamic-type turbulent motions observed in the model

Abstract

We study the solutions of the equations of motion in the gauged (2+1)-dimensional nonlinear Schr\"odinger model. The contribution of Chern-Simons gauge fields leads to a significant decrease of the critical power of self-focusing. We also show that at appropriate boundary conditions in the considered model there exists a regime of turbulent motions of hydrodynamic type.