65,421 research outputs found
The detection of the electric field vertical distribution underneath thundercloud: Principle and applications
During the Florida 89 experiment at Kennedy Space Center, a new system was used in order to obtain the vertical distribution of the electric field underneath thunderstorms. It consists of a standard shutter field mill at ground level and five other field sensors suspended from a cable fastened to a tethered balloon located at an altitude of about 1000 meters. It also includes a reception station for telemetered information transmitted by sensors, a processing system in order to store data, and real time display on a screen to show the simultaneous field variations at each level along with the instantaneous electric field profile. The first results obtained show the great importance of the electric field vertical distribution. The field detected at a height of 600m reaches 65 kV/m while that at the surface does not exceed 5 kV/m. The field intensity in altitude is a better criterion for determining the right moment to launch a rocket devoted to flash triggering. Using Gauss's law, the simultaneous field variations at several levels are used in order to evaluate charge densities. Average values close to 1nC.m(-3) are calculated in layers up to 600 m. The calculation of different average charge densities leads to the characterization of the layer between cloud and ground just before the leader propagation in the case of cloud to ground flash
Elaboration of the New Paradigm of Interdisciplinary Investigations
In the article, the problem of construction a meta-theory for approaching the complex phenomena of Reality is discussed. The integrated information system is formulated. Such postulate is a suggested basis for creation of a unified methodology of cognition (investigation) which makes it possible to elaborate a new paradigm of interdisciplinary investigations as a separate scientific discipline which has its own methods and special objects. The article will be of interest to philosophers and methodologists of scienc
Remarks on magnetic flows and magnetic billiards, Finsler metrics and a magnetic analog of Hilbert's fourth problem
We interpret magnetic billiards as Finsler ones and describe an analog of the
string construction for magnetic billiards. Finsler billiards for which the law
"angle of incidence equals angle of reflection" are described. We characterize
the Finsler metrics in the plane whose geodesics are circles of a fixed radius.
This is a magnetic analog of Hilbert's fourth problem asking to describe the
Finsler metrics whose geodesics are straight lines.Comment: 27 pages, 6 figure
On the Cartan matrix of Mackey algebras
Let k be a field of characteristic p>0, and G be a finite group. The first
result of this paper is an explicit formula for the determinant of the Cartan
matrix of the Mackey algebra mu_k(G) of G over k. The second one is a formula
for the rank of the Cartan matrix of the cohomological Mackey algebra comu_k(G)
of G over k, and a characterization of the groups G for which this matrix is
non singular. The third result is a generalization of this rank formula and
characterization to blocks of comu_k(G) : in particular, if b is a block of kG,
the Cartan matrix of the corresponding block comu_k(b) of comu_k(G) is non
singular if and only if b is nilpotent with cyclic defect groups
Exact scaling functions of the multichannel Kondo model
We reinvestigate the large degeneracy solution of the multichannel Kondo
problem, and show how in the universal regime the complicated integral
equations simplifying the problem can be mapped onto a first order differential
equation. This leads to an explicit expression for the full zero-temperature
scaling functions at - and away from - the intermediate non Fermi Liquid fixed
point, providing complete analytic information on the universal low - and
intermediate - energy properties of the model. These results also apply to the
widely-used Non Crossing Approximation of the Anderson model, taken in the
Kondo regime. An extension of this formalism for studying finite temperature
effects is also proposed and offers a simple approach to solve models of
strongly correlated electrons with relevance to the physics of heavy fermion
compounds.Comment: 4 pages, 2 figures. Submitted to PRB. Minor changes in v
The role of the Beltrami parametrization of complex structures in 2-d Free Conformal Field Theory
This talk gives a review on how complex geometry and a Lagrangian formulation
of 2-d conformal field theory are deeply related. In particular, how the use of
the Beltrami parametrization of complex structures on a compact Riemann surface
fits perfectly with the celebrated locality principle of field theory, the
latter requiring the use infinite dimensional spaces. It also allows a direct
application of the local index theorem for families of elliptic operators due
to J.-M. Bismut, H. Gillet and C. Soul\'{e}. The link between determinant line
bundles equipped with the Quillen\'s metric and the so-called holomorphic
factorization property will be addressed in the case of free spin b-c
systems or more generally of free fields with values sections of a holomorphic
vector bundles over a compact Riemann surface.Comment: Actes du Colloque "Complex Geometry '98
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