TY - JOUR

T1 - Dynamics of energy condensation in two-dimensional turbulence

AU - Chertkov, M.

AU - Connaughton, C.

AU - Kolokolov, I.

AU - Lebedev, V.

PY - 2007/8/21

Y1 - 2007/8/21

N2 - 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 the 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.

AB - 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 the 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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U2 - 10.1103/PhysRevLett.99.084501

DO - 10.1103/PhysRevLett.99.084501

M3 - Article

C2 - 17930951

AN - SCOPUS:34548152478

VL - 99

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 8

M1 - 084501

ER -