We define a random process for the construction of multiaffine fields, given the scaling exponents for the structure functions. The difference with analogous processes for positive defined multifractal measures is stressed. In particular our methods can be used for the study of the scaling laws exhibited by the velocity field in three dimensional fully developed turbulence. We also discuss the probability distribution functions for the increments of the signal in the scaling range.
A Random Process for the Construction of Multiaffine Fields / R., Benzi; L., Biferale; Crisanti, Andrea; G., Paladin; M., Vergassola; Vulpiani, Angelo. - In: PHYSICA D-NONLINEAR PHENOMENA. - ISSN 0167-2789. - STAMPA. - 65:(1993), pp. 352-358. [10.1016/0167-2789(93)90060-E]
A Random Process for the Construction of Multiaffine Fields
CRISANTI, Andrea;VULPIANI, Angelo
1993
Abstract
We define a random process for the construction of multiaffine fields, given the scaling exponents for the structure functions. The difference with analogous processes for positive defined multifractal measures is stressed. In particular our methods can be used for the study of the scaling laws exhibited by the velocity field in three dimensional fully developed turbulence. We also discuss the probability distribution functions for the increments of the signal in the scaling range.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
