English

Harmonious Representation of PDF's reflecting Large Deviations

Statistical Mechanics 2009-11-10 v1

Abstract

The framework of multifractal analysis (MFA) is distilled to the most sophisticated one. Within this transparent framework, it is shown that the harmonious representation of MFA utilizing two distinct Tsallis distribution functions, one for the tail part of probability density function (PDF) and the other for its center part, explains the recently observed PDF's of turbulence in the highest accuracy superior to the analyses based on other models such as the log-normal model and the pp model.

Keywords

Cite

@article{arxiv.cond-mat/0312143,
  title  = {Harmonious Representation of PDF's reflecting Large Deviations},
  author = {T. Arimitsu and N. Arimitsu},
  journal= {arXiv preprint arXiv:cond-mat/0312143},
  year   = {2009}
}

Comments

11 pages, 2 figures

R2 v1 2026-07-22T10:57:35.863Z