Kadanoff-Baym equations for near-Kolmogorov turbulence
Esteban Calzetta
TL;DR
This paper develops a theoretical framework using the Schwinger-Keldysh effective action to derive Kadanoff-Baym equations, modeling the relaxation process of turbulence towards Kolmogorov scaling.
Contribution
It introduces a novel application of quantum field theory techniques to describe turbulence dynamics and relaxation to Kolmogorov turbulence.
Findings
Derived Kadanoff-Baym equations for turbulence relaxation
Established a consistent set of equations for velocity and pressure correlations
Provided a new theoretical approach to turbulence modeling
Abstract
We use the 2 particle irreducible Schwinger-Keldysh effective action to set up consistent equations for the velocity and pressure correlations of a turbulent flow. We use these equations to derive the Kadanoff-Baym equations describing the relaxation to Kolmogorov turbulence in the absence of mean velocities.
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Taxonomy
TopicsFluid Dynamics and Turbulent Flows · Meteorological Phenomena and Simulations · Stochastic processes and financial applications