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Generalized Additive Entropies in Fully Developed Turbulence

Fluid Dynamics 2007-05-23 v1 Materials Science Mathematical Physics math.MP

Abstract

We explore a possible application of the additive generalization of the Boltzmann-Gibbs-Shannon entropy proposed in [A.N. Gorban, I.V. Karlin, Phys. Rev. E, 67:016104 (2003)] to fully developed turbulence. The predicted probability distribution functions are compared with those obtained from Tsallis' entropy and with experimental data. Consequences of the existence of hidden subsystems are illustrated.

Keywords

Cite

@article{arxiv.physics/0305121,
  title  = {Generalized Additive Entropies in Fully Developed Turbulence},
  author = {Patrick Ilg and Iliya V. Karlin and Alexander N. Gorban},
  journal= {arXiv preprint arXiv:physics/0305121},
  year   = {2007}
}

Comments

9 pages, 3 figures

R2 v1 2026-07-22T18:56:16.158Z