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Quantized turbulence physics.

Demosthenes Kivotides¹, Anthony Leonard

¹Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA 91125, USA.

Physical Review Letters

|July 15, 2003

Summary

This study details the physics of reconnecting vortex filaments, revealing turbulent phenomena like Kolmogorov

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Area of Science:

Fluid Dynamics
Turbulence Theory
Mathematical Physics

Background:

Vortex dynamics are crucial for understanding turbulent flows.
Quantized circulation in superfluids and superconductors offers a unique physical system to study turbulence.
Reconnecting vortex filaments are a key feature in many turbulent phenomena.

Purpose of the Study:

To elaborate the physics of systems of unconstrained, reconnecting vortex filaments.
To investigate the phenomenology of this structured turbulent system.
To analyze the energy spectrum and structure functions.

Main Methods:

Modeling vortex filaments with dynamic finite cores.
Incorporating Biot-Savart and viscous forces.
Analyzing the resulting energy spectrum and structure functions.

Main Results:

Observed an inertial range with Kolmogorov's k(-5/3) energy spectrum scaling.
Identified Kolmogorov's linear in r scaling for the third-order longitudinal structure function.
Demonstrated a purely structured turbulent system.

Conclusions:

The studied system exhibits characteristic turbulent scaling laws.
Reconnecting vortex filaments with quantized circulation provide a model for fundamental turbulence research.
The findings contribute to the understanding of energy transfer in turbulent flows.

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