Comment on ``Dynamical Foundations of Nonextensive Statistical Mechanics"

TL;DR

This paper critiques Beck's proposed linear stochastic model for nonextensive statistical mechanics, presenting new experimental data that contradicts the model's predictions in fluid turbulence.

Contribution

It provides new experimental evidence challenging the validity of Beck's linear model in describing turbulence-related PDFs.

Findings

Beck's linear model does not match experimental turbulence data

New experiments show discrepancies with theoretical predictions

The results question the applicability of the proposed stochastic framework

Abstract

In a recent letter, Christian Beck described a theoretical link between a family of stochastic differential equations and the probability density functions (PDF) derived from the formalism of nonextensive statistical mechanics. He applied the theory to explain experimentally measured PDFs from fully developed fluid turbulence. Here we present new experimental results with better statistics which show that the linear model propose by C. Beck does not capture the experimental observations.