556,645 research outputs found
Testing the Space-Time Structure of Event Generators
We report on work done in collaboration with Klaus Kinder-Geiger and John
Ellis which aims at connecting the space-time structure of event generator
simulations with observable output.Comment: 16 pages LaTeX, including 5 postscript figures. To appear in the
Proceedings of ``RHIC Physics and Beyond - Kay Kay Gee Day'' (Brookhaven
National Laboratory, 23 Oct 1998), ed. by B. Muller and R.D. Pisarski, AIP
Conference Proceeding
Plasma Modes Along the Open Field Lines of a Neutron Star
We consider electrostatic plasma modes along the open field lines of a
rotating neutron star. Goldreich-Julian charge density in general relativity is
analyzed for the neutron star with zero inclination. It is found that the
charge density is maximum at the polar cap and it remains almost same in
certain extended region of the pole. For a steady state Goldreich-Julian charge
density we found the usual plasma oscillation along the field lines; plasma
frequency resembles to the gravitational redshift close to the Schwarzschild
radius. We study the nonlinear plasma mode along the field lines. From the
system of equations under general relativity, a second order differential
equation is derived. The equation contains a term which describes the growing
plasma modes near Schwarzschild radius in a black hole environment. The term
vanishes with the distance far away from the gravitating object. For initially
zero potential and field on the surface of a neutron star, Goldreich-Julian
charge density is found to create the plasma mode, which is enhanced and
propagates almost without damping along the open field lines. We briefly
outline our plan to extend the work for studying soliton propagation along the
open field lines of strongly gravitating objects
Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions
Properties of the four families of recently introduced special functions of
two real variables, denoted here by , and , are studied. The
superscripts and refer to the symmetric and antisymmetric functions
respectively. The functions are considered in all details required for their
exploitation in Fourier expansions of digital data, sampled on square grids of
any density and for general position of the grid in the real plane relative to
the lattice defined by the underlying group theory. Quality of continuous
interpolation, resulting from the discrete expansions, is studied, exemplified
and compared for some model functions.Comment: 22 pages, 10 figure
- …