30,825 research outputs found
Random matrix study for a three-terminal chaotic device
We perform a study based on a random-matrix theory simulation for a
three-terminal device, consisting of chaotic cavities on each terminal. We
analyze the voltage drop along one wire with two chaotic mesoscopic cavities,
connected by a perfect conductor, or waveguide, with one open mode. This is
done by means of a probe, which also consists of a chaotic cavity that measure
the voltage in different configurations. Our results show significant
differences with respect to the disordered case, previously considered in the
literature.Comment: Proccedings of the V Leopoldo Garcia-Colin Mexican Meeting on
Mathematical and Experimental Physic
Linearization of nonlinear connections on vector and affine bundles, and some applications
A linear connection is associated to a nonlinear connection on a vector
bundle by a linearization procedure. Our definition is intrinsic in terms of
vector fields on the bundle. For a connection on an affine bundle our procedure
can be applied after homogenization and restriction. Several applications in
Classical Mechanics are provided
The Berwald-type linearisation of generalised connections
We study the existence of a natural `linearisation' process for generalised
connections on an affine bundle. It is shown that this leads to an affine
generalised connection over a prolonged bundle, which is the analogue of what
is called a connection of Berwald type in the standard theory of connections.
Various new insights are being obtained in the fine structure of affine bundles
over an anchored vector bundle and affineness of generalised connections on
such bundles.Comment: 25 page
Luminosity segregation versus fractal scaling in the galaxy distribution
In this letter I present results from a correlation analysis of three galaxy
redshift catalogs: the SSRS2, the CfA2 and the PSCz. I will focus on the
observation that the amplitude of the two--point correlation function rises if
the depth of the sample is increased. There are two competing explanations for
this observation, one in terms of a fractal scaling, the other based on
luminosity segregation. I will show that there is strong evidence that the
observed growth is due to a luminosity dependent clustering of the galaxies.Comment: 7 pages, EPL in pres
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