200,081 research outputs found
On the hydrostatic approximation of the Navier-Stokes equations in a thin strip
In this paper, we first prove the global well-posedness of a scaled
anisotropic Navier-Stokes system and the hydrostatic Navier-Stokes system in a
2-D striped domain with small analytic data in the tangential variable. Then we
justify the limit from the anisotropic Navier-Stokes system to the hydrostatic
Navier-Stokes system with analytic data
Resonant Tunneling through S- and U-shaped Graphene Nanoribbons
We theoretically investigate resonant tunneling through S- and U-shaped
nanostructured graphene nanoribbons. A rich structure of resonant tunneling
peaks are found eminating from different quasi-bound states in the middle
region. The tunneling current can be turned on and off by varying the Fermi
energy. Tunability of resonant tunneling is realized by changing the width of
the left and/or right leads and without the use of any external gates.Comment: 6 pages, 7 figure
Unitarity and Complete Reducibility of Certain Modules over Quantized Affine Lie Algebras
Let denote the quantized affine Lie algebra and
the quantized {\em nontwisted} affine Lie algebra. Let
be the category defined in section 3. We show that when
the deformation parameter is not a root of unit all integrable
representations of in the category are
completely reducible and that every integrable irreducible highest weight
module over corresponding to is equivalent to a
unitary module.Comment: 17 pages (minor errors corrected
Tunnelling Effect and Hawking Radiation from a Vaidya Black Hole
In this paper, we extend Parikh' work to the non-stationary black hole. As an
example of the non-stationary black hole, we study the tunnelling effect and
Hawking radiation from a Vaidya black hole whose Bondi mass is identical to its
mass parameter. We view Hawking radiation as a tunnelling process across the
event horizon and calculate the tunnelling probability. We find that the result
is different from Parikh's work because is the function of
Bondi mass m(v)
Experimental Implications for a Linear Collider of the SUSY Dark Matter Scenario
This paper presents the detection issues for the lightest slepton
\tilde{\tau}_1 at a future e^+e^- TeV collider given the dark matter
constraints set on the SUSY mass spectrum by the WMAP results. It intends to
illustrate the importance of an optimal detection of energetic electrons in the
very forward region for an efficient rejection of the
\gamma\gamma background. The TESLA parameters have been used in the case of
head-on collisions and in the case of a 10, mrad half crossing angle.Comment: 24 pages, 13 figures, Work presented at the International Conference
on Linear Colliders (LCWS04), 19-23 April 2004, Le Carre des Sciences, Paris,
Franc
Evolving small-world networks with geographical attachment preference
We introduce a minimal extended evolving model for small-world networks which
is controlled by a parameter. In this model the network growth is determined by
the attachment of new nodes to already existing nodes that are geographically
close. We analyze several topological properties for our model both
analytically and by numerical simulations. The resulting network shows some
important characteristics of real-life networks such as the small-world effect
and a high clustering.Comment: 11 pages, 4 figure
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