1,935 research outputs found
Beam propagation in a Randomly Inhomogeneous Medium
An integro-differential equation describing the angular distribution of beams
is analyzed for a medium with random inhomogeneities. Beams are trapped because
inhomogeneities give rise to wave localization at random locations and random
times. The expressions obtained for the mean square deviation from the initial
direction of beam propagation generalize the "3/2 law".Comment: 4 page
Oseledets' Splitting of Standard-like Maps
For the class of differentiable maps of the plane and, in particular, for
standard-like maps (McMillan form), a simple relation is shown between the
directions of the local invariant manifolds of a generic point and its
contribution to the finite-time Lyapunov exponents (FTLE) of the associated
orbit. By computing also the point-wise curvature of the manifolds, we produce
a comparative study between local Lyapunov exponent, manifold's curvature and
splitting angle between stable/unstable manifolds. Interestingly, the analysis
of the Chirikov-Taylor standard map suggests that the positive contributions to
the FTLE average mostly come from points of the orbit where the structure of
the manifolds is locally hyperbolic: where the manifolds are flat and
transversal, the one-step exponent is predominantly positive and large; this
behaviour is intended in a purely statistical sense, since it exhibits large
deviations. Such phenomenon can be understood by analytic arguments which, as a
by-product, also suggest an explicit way to point-wise approximate the
splitting.Comment: 17 pages, 11 figure
Rotation sets of billiards with one obstacle
We investigate the rotation sets of billiards on the -dimensional torus
with one small convex obstacle and in the square with one small convex
obstacle. In the first case the displacement function, whose averages we
consider, measures the change of the position of a point in the universal
covering of the torus (that is, in the Euclidean space), in the second case it
measures the rotation around the obstacle. A substantial part of the rotation
set has usual strong properties of rotation sets
The Lyapunov exponent in the Sinai billiard in the small scatterer limit
We show that Lyapunov exponent for the Sinai billiard is with where
is the radius of the circular scatterer. We consider the disk-to-disk-map
of the standard configuration where the disks is centered inside a unit square.Comment: 15 pages LaTeX, 3 (useful) figures available from the autho
Helium Porosity Formation in Vanadium Alloys of V-Ti-Cr, V-W-Zr and V-W-Ta Systems in Comparison with Binary Alloys
Vanadium alloys are considered candidates for use as structural materials of fusion reactors. A large amount of helium will be accumulated in such materials. The presence of helium in the materials may result in gas swelling. This paper presents the results on helium porosity formation researches in VâTiâCr, VâWâZr and VâWâTa alloys obtained by means of TEM. Samples were irradiated by 40 keV ĐĐ”+ ions up to dose of 5 â
1020mâ2 at 923 K. Alloy Vâ4%Tiâ4%Cr has a smallest helium swelling among the ternary alloys and its swelling is significantly lower than swelling of dual VâTi and VâCr alloys. The swelling of the ternary Vâ2%Wâ1%Zr alloy is more than 3 times less than the swelling of vanadium, several times less than that of VâW alloys and slightly lower than the swelling of Vâ Zr alloys. Swelling increases by a factor of 1.5 with increasing of Zr content to 2% in the ternary Vâ2%Wâ1%Zr alloy. Similarly, gas swelling of ternary Vâ2%Wâ1%Ta alloy is significantly lower than that for binary VâW and VâTa alloys. Assumptions are made about the possible mechanisms of the effect of alloying elements in vanadium on helium porosity formation.
Keywords: vanadium alloys, swelling, helium, radiation resistance
Results and prospects on registration of reflected Cherenkov light of EAS from cosmic particles above 10^{15} eV
We give an overview of the SPHERE experiment based on detection of reflected
Vavilov-Cherenkov radiation (Cherenkov light) from extensive air showers in the
energy region E>10^{15} eV. A brief history of the reflected Cherenkov light
technique is given; the observations carried out with the SPHERE-2 detector are
summarized; the methods of the experimental datasample analysis are described.
The first results on the primary cosmic ray all-nuclei energy spectrum and mass
composition are presented. Finally, the prospects of the SPHERE experiment and
the reflected Cherenkov light technique are given.Comment: 4 pages, 3 figures, Proc. PANIC-201
Vacuum shell in the Schwarzschild-de Sitter world
We construct the classification scheme for all possible evolution scenarios
and find the corresponding global geometries for dynamics of a thin spherical
vacuum shell in the Schwarzschild-de Sitter metric. This configuration is
suitable for the modelling of vacuum bubbles arising during cosmological phase
transitions in the early Universe. The distinctive final types of evolution
from the local point of view of a rather distant observer are either the
unlimited expansion of the shell or its contraction with a formation of black
hole (with a central singularity) or wormhole (with a baby universe in
interior).Comment: 15 pages, 8 figure
- âŠ