Warm cascades and anomalous scaling in a diffusion model of turbulence.
A phenomenological turbulence model in which the energy spectrum obeys a nonlinear diffusion equation is analyzed. The general steady state contains a nonlinear mixture of the constant-flux Kolmogorov and fluxless thermodynamic components. Such "warm cascade" solutions describe a bottleneck phenomenon of spectrum stagnation near the dissipative scale. Transient self-similar solutions describing a finite-time formation of steady cascades are analyzed and found to exhibit nontrivial scaling behavior.
Connaughton
Colm
C
Laboratoire de Physique Statistique de l'Ecole Normale Supérieur, associé au CNRS, 24 Rue Lhomond, 75231 Paris Cedex 05, France.
Nazarenko
Sergey
S