منابع مشابه
Slow modes in passive advection
The anomalous scaling in the Kraichnan model of advection of the passive scalar by a random velocity field with non-smooth spatial behavior is traced down to the presence of slow resonance-type collective modes of the stochastic evolution of fluid trajectories. We show that the slow modes are organized into infinite multiplets of descendants of the primary conserved modes. Their presence is lin...
متن کاملSlow modes in passive scalar turbulent advection.
This communication describes the computation of slow modes in a generic shell model of passive turbulent advection. It is argued that the propagator for the correlation functions possesses a ladder of slow modes associated with each zero mode. These slow modes decay algebraically fast, as opposed to exponential. Using the explicit form of the propagator of the 2-point structure function, we sho...
متن کاملIntermittency of Passive Advection†
An explanation of the origin of intermittency in the fully developed turbulence remains one of the main open problems of theoretical hydrodynamics. Quantitatively, intermittency is measured by deviations from Kolmogorov’s scaling of the velocity correlators. Below, we shall describe a recent progress in the understanding of intermittency in a simple system describing the passive advection of a ...
متن کاملPassive advection in nonlinear medium
Turbulence is a very nonequilibrium state of nature, which becomes stationary if energy is supplied permanently at large scales. To construct a theory of turbulence means to describe temporal and spatial distributions of velocity and variety of different thermodynamic characteristics of the fluid, i.e., density if turbulence is compressible, temperature if thermo-advection is applied, relative ...
متن کاملAnalysis of passive scalar advection in parallel shear flows: Sorting of modes at intermediate time scales
The time evolution of a passive scalar advected by parallel shear flows is studied for a class of rapidly varying initial data. Such situations are of practical importance in a wide range of applications from microfluidics to geophysics. In these contexts, it is well-known that the long-time evolution of the tracer concentration is governed by Taylor’s asymptotic theory of dispersion. In contra...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 1998
ISSN: 0022-4715,1572-9613
DOI: 10.1023/a:1023212600779