A coalescence model for freely decaying two-dimensional turbulence

Details A coalescence model for freely decaying two-dimensional turbulence A coalescence model for freely decaying two-dimensional turbulence

1998-08-18

arxiv.org/abs/cond-mat/9808191v1

Europhys. Lett. 43, 671 (1998).

Physics

Condensed Matter

Statistical Mechanics

6 pages, 1 figure, to appear in Europhysics Letters

Scientific paper

10.1209/epl/i1998-00415-5

We propose a ballistic coalescence model (punctuated-Hamiltonian approach) mimicking the fusion of vortices in freely decaying two-dimensional turbulence. A temporal scaling behaviour is reached where the vortex density evolves like $t^{-\xi}$. A mean-field analytical argument yielding the approximation $\xi=4/5$ is shown to slightly overestimate the decay exponent $\xi$ whereas Molecular Dynamics simulations give $\xi =0.71\pm 0.01$, in agreement with recent laboratory experiments and simulations of Navier-Stokes equation.

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