Scaling Behavior of Turbulent Oscillators with Non-Local Interaction
Open Access
- 1 September 1995
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 94 (3) , 321-330
- https://doi.org/10.1143/ptp.94.321
Abstract
A general class of models is proposed for populations of biologically oscillating cells secreting substance whose rapid diffusion mediates the cell-cell interaction. Under certain conditions, such models are reduced to a system of non-locally coupled oscillators of the Ginzburg-Landau type. The last model in space dimension one is analyzed numerically, and some remarkable features of the turbulence generated are revealed. In particular, the correlations and fluctuations obey a power law similar to the one in the fully-devleoped Navier-Stokes turbulence except that our exponents change continuously with the coupling strength.Keywords
This publication has 1 reference indexed in Scilit:
- Kuramoto, Y., Chemical Oscillations, Waves, and Turbulence. Berlin‐Heidelberg‐New York‐Tokyo, Springer‐Verlag 1984. VIII, 156 S., 41 Abb., DM 79,—. US $ 28.80. ISBN 3‐540‐13322‐4 (Springer Series in Synergetics 19)ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1986