Turbulence is one of the most challenging and computationally expensive problems in physics; characterized by chaos but also governed by vortical structures, it is explained by directly solving the Navier–Stokes equations. This work is focused on Schrödinger fluids turbulence, out of the many types of turbulence, which is described by the Gross–Pitaevskii equation; here, vorticity comes from quantized vortex lines within the inviscid fluid. When T = 0 K, the classical fluid fraction within the fluid is negligible, and therefore, classical dissipation vanishes; in this case, dissipation comes in the form of phonon emissions. This chapter reviews the vortical structures in real-life turbulence, as well as turbulence within Schrödinger fluids in laboratory settings, and why it is important to understand its behaviour, especially through studying its energy dynamics. This chapter ends by outlining the structure of the entire thesis.

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Introduction

  • Adrian M. Parrado Almoguera

摘要

Turbulence is one of the most challenging and computationally expensive problems in physics; characterized by chaos but also governed by vortical structures, it is explained by directly solving the Navier–Stokes equations. This work is focused on Schrödinger fluids turbulence, out of the many types of turbulence, which is described by the Gross–Pitaevskii equation; here, vorticity comes from quantized vortex lines within the inviscid fluid. When T = 0 K, the classical fluid fraction within the fluid is negligible, and therefore, classical dissipation vanishes; in this case, dissipation comes in the form of phonon emissions. This chapter reviews the vortical structures in real-life turbulence, as well as turbulence within Schrödinger fluids in laboratory settings, and why it is important to understand its behaviour, especially through studying its energy dynamics. This chapter ends by outlining the structure of the entire thesis.