18,797 research outputs found

    A closure theory for the split energy-helicity cascades in homogeneous isotropic homochiral turbulence

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    We study the energy transfer properties of three dimensional homogeneous and isotropic turbulence where the non-linear transfer is altered in a way that helicity is made sign-definite, say positive. In this framework, known as homochiral turbulence, an adapted eddy-damped quasi-normal Markovian (EDQNM) closure is derived to analyze the dynamics at very large Reynolds numbers, of order 10510^5 based on the Taylor scale. In agreement with previous findings, an inverse cascade of energy with a kinetic energy spectrum like ∝k−5/3\propto k^{-5/3} is found for scales larger than the forcing one. Conjointly, a forward cascade of helicity towards larger wavenumbers is obtained, where the kinetic energy spectrum scales like ∝k−7/3\propto k^{-7/3}. By following the evolution of the closed spectral equations for a very long time and over a huge extensions of scales, we found the developing of a non monotonic shape for the front of the inverse energy flux. The very long time evolution of the kinetic energy and integral scale in both the forced and unforced cases is analyzed also.Comment: 8 pages, 3 figure

    Household Sector Borrowing in the Euro Area: A Micro Data Persective

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    This paper uses microdata from the EU-SILC (Statistics on Income and Living Conditions) to generate structural information for the euro area on the incidence of household indebtedness and of the burden to service debt. It distinguishes this incidence according to relevant characteristics such as income, age and employment status, all elements that can be cross-examined in the light of theories such as the life-cycle hypothesis. Overall, income appears as the dominant feature determining the debt status of a household. The paper also examines the evolution of indebtedness and debt service burdens over time and compares it with the US. In general, the results suggest that the macroeconomic implications of indebtedness for monetary transmission and financial stability are not associated with the mean but with the tails of the distribution.household indebtedness, financial vulnerability, micro survey data, monetary transmission.
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