A RANDOM PROCESS FOR THE CONSTRUCTION OF MULTIAFFINE FIELDS

被引:101
作者
BENZI, R
BIFERALE, L
CRISANTI, A
PALADIN, G
VERGASSOLA, M
VULPIANI, A
机构
[1] UNIV ROMA LA SAPIENZA,DIPARTIMENTO FIS,I-00185 ROME,ITALY
[2] UNIV AQUILA,DIPARTIMENTO FIS,I-67010 COPPITO,ITALY
[3] OBSERV NICE,F-06304 NICE 4,FRANCE
来源
PHYSICA D | 1993年 / 65卷 / 04期
关键词
D O I
10.1016/0167-2789(93)90060-E
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:352 / 358
页数:7
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