5,112 research outputs found

    A Variational Principle for the Asymptotic Speed of Fronts of the Density Dependent Diffusion--Reaction Equation

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    We show that the minimal speed for the existence of monotonic fronts of the equation ut=(um)xx+f(u)u_t = (u^m)_{xx} + f(u) with f(0)=f(1)=0f(0) = f(1) = 0, m>1m >1 and f>0f>0 in (0,1)(0,1) derives from a variational principle. The variational principle allows to calculate, in principle, the exact speed for arbitrary ff. The case m=1m=1 when f′(0)=0f'(0)=0 is included as an extension of the results.Comment: Latex, postcript figure availabl

    Spontaneous flow transition in active polar gels

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    We study theoretically the effects of confinement on active polar gels such as the actin network of eukaryotic cells. Using generalized hydrodynamics equations derived for active gels, we predict, in the case of quasi one-dimensional geometry, a spontaneous flow transition from a homogeneously polarized immobile state for small thicknesses, to a perturbed flowing state for larger thicknesses. The transition is not driven by an external field but by the activity of the system. We suggest several possible experimental realizations.Comment: 7 pages, 3 figures. To appear in Europhys. Let

    A Nuclear Physics Program at the ATLAS Experiment at the CERN Large Hadron Collider

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    The ATLAS collaboration has significant interest in the physics of ultra-relativistic heavy ion collisions. We submitted a Letter of Intent to the United States Department of Energy in March 2002. The following document is a slightly modified version of that LOI. More details are available at: http://atlas.web.cern.ch/Atlas/GROUPS/PHYSICS/SM/ionsComment: Letter of Intent submitted to the United States Department of Energy Nuclear Physics Division in March 2002 (revised version
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