| Abstract: |
| Nonlinear Schrodinger equation (NSE) is the simplest model for superfluid systems such as liquid helium and a dilute gas at ultralow temperatures. Superfluid turbulence can be realized as spatially and dynamically complicated structure of quantized vortices. Quantized vortices are vortices with discrete circulations, and stable topological line defects. Here we show our recent large-scale numerical works for superfluid turbulence with NSE. The first topic is fully-developed turbulence and existences of two scaling regimes with the Kolmogorov`s -5/3 power-law spectra separated by the mean inter-vortex spacing. The second topic is the opposite case to the first one; transition from superfluid turbulence to vortex-free dissipationless flow. We can regard this transition as simplest non-equilibrium phase transition having three independent critical exponents. |
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