Brownian theory of 2D turbulence and generalized thermodynamics
arXiv:cond-mat/0209098 · doi:10.1016/j.physd.2004.11.004
Abstract
We propose a new parametrization of 2D turbulence based on generalized thermodynamics and Brownian theory. Explicit relaxation equations are obtained that should be easily implementable in numerical simulations for three typical types of turbulent flows. Our parametrization is related to previous ones but it removes their defects and offers attractive new perspectives.
Submitted to Phys. Rev. Lett
References in corpus (5)
- Generalized thermodynamics and Fokker-Planck equations. Applications to stellar dynamics, two-dimensional turbulence and Jupiter's great red spot
- Anomalous diffusion and collapse of self-gravitating Langevin particles in D dimensions
- Post-collapse dynamics of self-gravitating Brownian particles in D dimensions
- Generalized Fokker-Planck equations and effective thermodynamics
- Estimate of blow-up and relaxation time for self-gravitating Brownian particles and bacterial populations
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