1,370 research outputs found

    On the Phenomenology of Hydrodynamic Shear Turbulence

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    The question of a purely hydrodynamic origin of turbulence in accretion disks is reexamined, on the basis of a large body of experimental and numerical evidence on various subcritical (i.e., linearly stable) hydrodynamic flows. One of the main points of this paper is that the length scale and velocity fluctuation amplitude which are characteristic of turbulent transport in these flows scale like Rem−1/2Re_m^{-1/2}, where RemRe_m is the minimal Reynolds number for the onset of fully developed turbulence. From this scaling, a simple explanation of the dependence of RemRe_m with relative gap width in subcritical Couette-Taylor flows is developed. It is also argued that flows in the shearing sheet limit should be turbulent, and that the lack of turbulence in all such simulations performed to date is most likely due to a lack of resolution, as a consequence of the effect of the Coriolis force on the large scale fluctuations of turbulent flows. These results imply that accretion flows should be turbulent through hydrodynamic processes. If this is the case, the Shakura-Sunyaev α\alpha parameter is constrained to lie in the range 10−3−10−110^{-3}-10^{-1} in accretion disks, depending on unknown features of the mechanism which sustains turbulence. Whether the hydrodynamic source of turbulence is more efficient than the MHD one where present is an open question.Comment: 31 pages, 3 figures. Accepted for publication in Ap

    Metal-Insulator Transition in the Two-Dimensional Hubbard Model at Half-Filling with Lifetime Effects within the Moment Approach

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    We explore the effect of the imaginary part of the self-energy, ImÎŁ(k⃗,ω)Im\Sigma(\vec{k},\omega), having a single pole, Ω(k⃗,ω)\Omega(\vec{k},\omega), with spectral weight, α(k⃗)\alpha(\vec{k}), and quasi-particle lifetime, Γ(k⃗)\Gamma(\vec{k}), on the density of states. We solve the set of parameters, Ω(k⃗,ω\Omega(\vec{k},\omega), α(k⃗)\alpha(\vec{k}), and Γ(k⃗)\Gamma(\vec{k}) by means of the moment approach (exact sum rules) of Nolting. Our choice for ÎŁ(k,ω)\Sigma(k,\omega), satisfies the Kramers - Kronig relationship automatically. Due to our choice of the self - energy, the system is not a Fermi liquid for any value of the interaction, a result which is also true in the moment approach of Nolting without lifetime effects. By increasing the value of the local interaction, U/WU/W, at half-filling (ρ=1/2\rho = 1/2), we go from a paramagnetic metal to a paramagnetic insulator, (Mott metal - insulator transition (MMITMMIT)) for values of U/WU/W of the order of U/W≄1U/W \geq 1 (WW is the band width) which is in agreement with numerical results for finite lattices and for infinity dimensions (D=∞D = \infty). These results settle down the main weakness of the spherical approximation of Nolting: a finite gap for any finite value of the interaction, i.e., an insulator for any finite value of U/WU/W. Lifetime effects are absolutely indispensable. Our scheme works better than the one of improving the narrowing band factor, B(k⃗)B(\vec{k}), beyond the spherical approximation of Nolting.Comment: 5 pages and 5 ps figures (included

    Cross-sectional survey of users of internet depression communities

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    Background: Internet-based depression communities provide a forum for individuals to communicate and share information and ideas. There has been little research into the health status and other characteristics of users of these communities. Methods: Online cross-sectional survey of Internet depression communities to identify depressive morbidity among users of Internet depression communities in six European countries; to investigate whether users were in contact with health services and receiving treatment; and to identify user perceived effects of the communities. Results: Major depression was highly prevalent among respondents (varying by country from 40% to 64%). Forty-nine percent of users meeting criteria for major depression were not receiving treatment, and 35% had no consultation with health services in the previous year. Thirty-six percent of repeat community users who had consulted a health professional in the previous year felt that the Internet community had been an important factor in deciding to seek professional help. Conclusions: There are high levels of untreated and undiagnosed depression in users of Internet depression communities. This group represents a target for intervention. Internet communities can provide information and support for stigmatizing conditions that inhibit more traditional modes of information seeking
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