1,054 research outputs found

    Suppression of turbulent dynamo in time irreversible turbulence

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    The conventional theory of magnetic field generation in a turbulent flow considers time-reversible random flows. However, real turbulent flows are known to be time irreversible: the presence of energy cascade is an intrinsic property of turbulence. We generalize the 'standard' model to account for the irreversibility. We show that even small time asymmetry leads to significant suppression of the dynamo effect at low magnetic Prandtl numbers, increases the generation threshold and may even make generation impossible for any magnetic Reynolds number. We calculate the magnetic energy increment as a function of the parameters of the flow

    Stationary solution for quasi-homogeneous small-scale magnetic field advected by non-Gaussian turbulent flow

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    We consider fluctuations of magnetic field excited by external force and advected by isotropic turbulent flow. It appears that non-Gaussian velocity gradient statistics and finite region of pumping force provide the existence of stationary solution. The mean-square magnetic field is calculated for arbitrary velocity gradient statistics. An estimate for possible feedback of magnetic field on velocity shows that, for wide range of parameters, stationarity without feedback would take place even in the case of intensive pumping of magnetic field.Comment: 7 pages, 2 figure

    No feedback is possible in small-scale turbulent magnetic field

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    Evolution of stochastically homogeneous magnetic field advected by incompressible turbulent flow with large magnetic Prandtl numbers is considered at the scales less than Kolmogorov viscous scale. It is shown that, despite unlimited growth of the magnetic field, its feedback on the fluid's dynamics remains negligibly small.Comment: 7 pages, 1 figur

    Material surfaces in stochastic flows: integrals of motion and intermittency

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    We consider the line, surface and volume elements of fluid in stationary isotropic incompressible stochastic flow in dd-dimensional space and investigate the long-time evolution of their statistic properties. We report the discovery of a family of d!1d!-1 stochastical integrals of motion that are universal in the sense their explicit form does not depend on the statistics of velocity. Only one of them has been discussed previously

    CONTRAST: a discriminative, phylogeny-free approach to multiple informant de novo gene prediction

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    CONTRAST is a gene predictor that directly incorporates information from multiple alignments and uses discriminative machine learning techniques to give large improvements in prediction over previous methods

    Evolution of localized magnetic field perturbations and the nature of turbulent dynamo

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    Kinematic dynamo in incompressible isotropic turbulent flows with high magnetic Prandtl number is considered. The approach interpreting an arbitrary magnetic field distribution as a superposition of localized perturbations (blobs) is proposed. We derive a relation between stochastic properties of a blob and a stochastically homogenous distribution of magnetic field advected by the same stochastic flow. This relation allows to investigate the evolution of a localized blob at late stage when its size exceeds the viscous scale. It is shown that in 3-dimansional flows, the average magnetic field of the blob increases exponentially in the inertial range of turbulence, as opposed to the late-Batchelor stage when it decreases. Our approach reveals the mechanism of dynamo generation in the inertial range both for blobs and homogenous contributions. It explains the absence of dynamo in the two-dimensional case and its efficiency in three dimensions. We propose the way to observe the mechanism in numerical simulations.Comment: 10 pages, 1 figur
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