Stochastic Navier-Stokes equation for a compressible fluid: two-loop approximation
Statistical Mechanics
2018-10-09 v1
Abstract
A model of fully developed turbulence of a compressible fluid is briefly reviewed. It is assumed that fluid dynamics is governed by a stochastic version of Navier-Stokes equation. We show how corresponding field theoretic-model can be obtained and further analyzed by means of the perturbative renormalization group. Two fixed points of the RG equations are found. The perturbation theory is constructed within formal expansion scheme in parameter , which describes scaling behavior of random force fluctuations. Actual calculations for fixed points' coordinates are performed to two-loop order.
Cite
@article{arxiv.1810.03462,
title = {Stochastic Navier-Stokes equation for a compressible fluid: two-loop approximation},
author = {M. Hnatič and N. M. Gulitskiy and T. Lučivjanský and L. Mižišin and V. Škultéty},
journal= {arXiv preprint arXiv:1810.03462},
year = {2018}
}
Comments
talk presented at CHAOS conference 2018, Rome. arXiv admin note: substantial text overlap with arXiv:1803.07908