Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-03-05
Physics
Condensed Matter
Statistical Mechanics
4 pages, RevTex, Submitted to Phys. Fluids
Scientific paper
10.1063/1.869826
Forced advection of passive scalar by a smooth $d$-dimensional incompressible velocity in the presence of a linear damping is studied. Acting separately advection and dumping do not lead to an essential intermittency of the steady scalar statistics, while being mixed together produce a very strong non-Gaussianity in the convective range: $q$-th (positive) moment of the absolute value of scalar difference, $<|\theta (t;{\bf r})-\theta (t;0)|^{q}> $ is proportional to $r^{\xi_{q}}$, $\xi _{q}=\sqrt{d^{2}/4+\alpha dq/[ (d-1)D]}-d/2$, where $\alpha /D$ measures the rate of the damping in the units of the stretching rate. Probability density function (PDF) of the scalar difference is also found.
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