Projects per year
Abstract / Description of output
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 |
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Number of pages | 5 |
Journal | Physical Review E |
Volume | 100 |
Issue number | 4 |
DOIs | |
Publication status | Published - 14 Oct 2019 |
Keywords / Materials (for Non-textual outputs)
- physics.flu-dyn
- hep-th
- nlin.CD
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Dive into the research topics of 'Information production in homogeneous isotropic turbulence'. Together they form a unique fingerprint.Projects
- 1 Finished
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Particle Theory at the Higgs Centre
Ball, R., Berera, A., Boyle, P., Callison-Burch, C., Del Debbio, L., Gardi, E., Kennedy, A., O'Connell, D., Zwicky, R., Berera, A., Boyle, P., Buckley, A., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., Kenway, R., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/14 → 30/09/18
Project: Research