4,398 research outputs found
Cut moments and a generalization of DGLAP equations
We elaborate a cut (truncated) Mellin moments (CMM) approach that is
constructed to study deep inelastic scattering in lepton-hadron collisions at
the natural kinematic constraints. We show that generalized CMM obtained by
multiple integrations of the original parton distribution as well
as ones obtained by multiple differentiations of this also satisfy
the DGLAP equations with the correspondingly transformed evolution kernel
. Appropriate classes of CMM for the available experimental kinematic
range are suggested and analyzed. Similar relations can be obtained for the
structure functions , being the Mellin convolution , where
is the coefficient function of the process.Comment: 11 page
Nonlinear broadening of the plasmon linewidth in a graphene stripe
In contrast to semiconductor structures, the experimentally observed plasma
resonances in graphene show an asymmetrical and rather broad linewidth. We show
that this can be explained by the linear electron energy dispersion in this
material and is related to the violation of the generalized Kohn theorem in
graphene.Comment: 5 pages, 3 figure
Noise-induced breakdown of coherent collective motion in swarms
We consider swarms formed by populations of self-propelled particles with
attractive long-range interactions. These swarms represent multistable
dynamical systems and can be found either in coherent traveling states or in an
incoherent oscillatory state where translational motion of the entire swarm is
absent. Under increasing the noise intensity, the coherent traveling state of
the swarms is destroyed and an abrupt transition to the oscillatory state takes
place.Comment: 6 pages, 5 figures; to appear in Phys. Rev.
Nonequilibrium pattern formation in chiral Langmuir monolayers with transmembrane flows
Nonequilibrium Langmuir monolayers including a fraction of chiral molecules
and subject to transmembrane flow are considered. The flow induces coherent
collective precession of chiral molecules. Our theoretical study shows that
splay interactions in this system lead to spatial redistribution of chiral
molecules and formation of spiral waves and target patterns observed in
experiments
Analysis of some localized boundary-domain integral equations
Some direct segregated localized boundary-domain integral equation (LBDIE) systems associated with the Dirichlet and Neumann boundary value problems (BVP) for a scalar "Laplace" PDE with variable coefficient are formulated and analysed. The parametrix is localized by multiplication with a radial localizing function. Mapping and jump properties of surface and volume integral potentials based on a localized parametrix and constituting the LBDIE systems are studied in a scale of Sobolev (Bessel potential) spaces. The main results established in the paper are the LBDIEs equivalence to the original variable-coefficient BVPs and the invertibility of the LBDIE operators in the corresponding Sobolev spaces
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About analysis of some localized boundary-domain integral equations for a variable-coefficient BVPs
Some direct localized boundary-domain integral equations (LBDIEs) associated with the Dirichlet and Neumann boundary value problems for the "Laplace" linear differential equation with a variable coefficient are formulated. The LBDIEs are based on a parametrix localized by a cut-off function. Applying the theory of pseudo-differential operators, invertibility of the localized volume potentials is proved first. This allows then to prove solvability, solution uniqueness and equivalence of the LBDIEs to the original BVP, and investigate the LBDIE operator invertibility in appropriate Sobolev spaces
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Localized boundary-domain integral equation formulation for mixed type problems
Copyright @ 2010 Walter de Gruyter GmbHSome modified direct localized boundary-domain integral equations (LBDIEs) systems associated with the mixed boundary value problem (BVP) for a scalar “Laplace” PDE with variable coefficient are formulated and analyzed. The main results established in the paper are the LBDIEs equivalence to the original variable-coefficient BVPs and the invertibility of the corresponding localized boundary-domain integral operators in appropriately chosen function spaces
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