Critical theory of turbulence in incompressible fluids

Details Critical theory of turbulence in incompressible fluids Critical theory of turbulence in incompressible fluids

1996-02-22

arxiv.org/abs/cond-mat/9602123v1

Physics

Condensed Matter

6 pages, plain TeX

Scientific paper

The Navier-Stokes equation describes the deterministic evolution of incompressible fluids. The effects of random initial conditions on solutions of this equation are studied. It is shown that there is an infrared stable fixed point accessible within the epsilon expansion, about $d_c=4,$ with a particular choice of viscosity. The behaviour of the usual viscous fluid is obtained as a relevant perturbation about this fixed point, with the usual viscosity serving as $T-T_c.$

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