# Information production in homogeneous isotropic turbulence

Arjun Berera, Daniel Clark

Research output: Contribution to journalArticlepeer-review

## Abstract

We study the Reynolds number scaling of the Kolmogorov-Sinai entropy and attractor dimension for three dimensional homogeneous isotropic turbulence through the use of direct numerical simulation. To do so, we obtain Lyapunov spectra for a range of different Reynolds numbers by following the divergence of a large number of orthogonal fluid trajectories. We find that the attractor dimension grows with the Reynolds number as Re$^{2.35}$ with this exponent being larger than predicted by either dimensional arguments or intermittency models. The distribution of Lyapunov exponents is found to be finite around $\lambda \approx 0$ contrary to a possible divergence suggested by Ruelle. The relevance of the Kolmogorov-Sinai entropy and Lyapunov spectra in comparing complex physical systems is discussed.
Original language English 5 Physical Review E 100 4 https://doi.org/10.1103/PhysRevE.100.041101 Published - 14 Oct 2019

## Keywords

• physics.flu-dyn
• hep-th
• nlin.CD