We derive from the Navier-Stokes equation an exact equation satisfied by the dissi-pation rate correlation function, < ǫ(x + r, t + τ)ǫ(x, t) >, which we study in the equal time limit. We exploit its mathematical similarity to the corresponding equation derived from the 1-dimensional stochastic Burgers equation to show that the main intermittency exponents are µ 1 = 2 − ζ 6 and µ 2 = 2 ˜ z 4 − ...

This paper provides a rigorous, self contained analysis of the intermittent behavior of turbulent diffusion models with a mean gradient. The intermittency can be described as large spikes randomly occurring in the time sequence of a passive tracer or exponential like fat tails in the probability density function. This type of passive tracer intermittency is subtle and occurs without any positiv...

The spatial scaling law and intermittency of the V2O5 surface roughness has been investigated by atomic force microscopy. The intermittency of the height fluctuations has been checked by two different methods, first, by measuring the scaling exponent of the qth moment of height-difference fluctuations i.e. Cq = 〈|h(x1)− h(x2)|q〉, and second, by defining the generating function Z(q, N) and gener...

A computational method is introduced to infer statistical information on boundarylayer perturbations upstream of laminar-turbulent transition in a supersonic boundary layer. The method uses the intermittency function as a basis, which specifies the amount of time a flow is turbulent at a given streamwise location. The methods yields a joint probability density function for amplitude and frequen...

The Hausdorff dimension of spectral measure for the graph Laplacian is shown exactly in terms an intermittency function. function can be estimated by using one-dimensional discrete Schrödinger operator method.

Some techniques for the study of intermittency by means of wavelet transforms, are presented on an example of synthetic turbulent signal. Several features of the turbulent field, that cannot be probed looking at standard structure function scaling, become accessible in this way. The concept of a directly measurable intermittency scale, distinct from the scale of the fluctuations, is introduced....

Self-similar properties of turbulence, suggested by Kolmogorov [2], have been intensively studied for a long time. The theory predicted simple scaling for the longitudinal velocity increments ur = u(x+r)−u(x), namely, 〈|ur| 〉 ∼ r. It became clear, however, that there are corrections to these scalings, usually attributed to intermittency. The only exception is the so-called 4/5thKolmogorov law [...

The possibility to study intermittency in a single event of high multiplicity is investigated in the framework of the α−model. It is found that, for cascade long enough, the dispersion of intermittency exponents obtained from individual events is fairly small. This fact opens the possibility to study the distribution of the intermittency parameters characterizing the cascades seen (by observing...

Intermittency is an essential property of astrophysical fluids, which demonstrate an extended inertial range. As intermittency violates self-similarity of motions, it gets impossible to naively extrapolate the properties of fluid obtained computationally with relatively low resolution to the actual astrophysical situations. In terms of Astrophysics, intermittency affects turbulent heating, mome...