Growing condensate in two-dimensional turbulence

Details Growing condensate in two-dimensional turbulence Growing condensate in two-dimensional turbulence

2006-12-22

arxiv.org/abs/nlin/0612052v2

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures. This version includes some additional phenomenological explanations of the results, additional references

Scientific paper

10.1103/PhysRevLett.99.084501

We report a numerical study, supplemented by phenomenological explanations, of ``energy condensation'' in forced 2D turbulence in a biperiodic box. Condensation is a finite size effect which occurs after the standard inverse cascade reaches the size of the system. It leads to emergence of a coherent vortex dipole. We show that the time growth of the dipole is self-similar, and it contains most of the injected energy, thus resulting in an energy spectrum which is markedly steeper than the standard $k^{-5/3}$ one. Once the coherent component is subtracted, however, the remaining fluctuations have a spectrum close to $k^{-1}$. The fluctuations decay slowly as the coherent part grows.

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