Formation of the bi-directional energy cascade in low-frequency damped wave-turbulent systems
1 Department of Mathematical Sciences, Rensselaer Polytechnic Institute - Troy, NY 12180, USA
2 Physics Department, New York City College of Technology, City University of New York Brooklyn, NY 11201, USA
Received: 13 June 2015
Accepted: 17 October 2015
We demonstrate that in wave-turbulent systems, an inverse energy flux can be formed in addition to the conventional direct energy flux if large-scale wave damping is present. Such a bi-directional energy cascade can be understood in terms of the wave energy transfer on the temperature wave background. The formation of the bi-directional cascade provides an effective mechanism for global coupling between the scales where the turbulent fluctuations at small scales are affected by the wave distribution at large scales due to the total energy conservation. We discuss physical systems where this scenario is realized.
PACS: 47.27.-i – Turbulent flows / 68.03.Kn – Dynamics (capillary waves)
© EPLA, 2015