2010/10/06 by Domingos S. P. Salazar, Giovani L. Vasconcelos · 21 citations
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Cascade #Chemistry #Combustion and flame dynamics #Distribution (mathematics) #Energy cascade #Fluid Dynamics and Turbulent Flows #Hierarchy #Hypergeometric distribution #Hypergeometric function #Intermittency #Jet (fluid) #Mathematical analysis #Mathematics #Mechanics #Physics #Power law #Probability distribution #Statistical Mechanics and Entropy #Statistical physics #Statistics #Stochastic differential equation #Turbulence #cond-mat.stat-mech #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.82.047301
published in Physical Review E 82(4), 047301 (American Physical Society) · 10 pages, 2 figures. To appear in Physical Review E
arxiv created 2010/10/06 · openalex publication_date 2010/10/25 · arxiv updated 2010/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A model of intermittency is presented in which the dynamics of the rates of energy transfer between successive steps in the energy cascade is described by a hierarchy of stochastic differential equations. The probability distribution of velocity increments is calculated explicitly and expressed in terms of generalized hypergeometric functions of the type (n)F(0), which exhibit power-law tails. The model predictions are found to be in good agreement with experiments on a low temperature gaseous helium jet. It is argued that distributions based on the functions (n)F(0) might be relevant also for other physical systems with multiscale dynamics.