3,148 research outputs found
Relativistic Charge Form Factor of the Deuteron
Relativistic integral representation in terms of experimental neutron-proton
scattering phase shifts alone is used to compute the charge form factor of the
deuteron . The results of numerical calculations of
are presented in the interval of the four-momentum transfers
squared . Zero and the prominent secondary maximum
in are the direct consequences of the change of sign in the
experimental - phase shifts. Till the point the
total relativistic correction to is positive and reaches the
maximal value of 25% at .Comment: 9 pages, LaTeX, 2 postscript figures, uses wor-sci.sty, epsf.st
Magnetic Radius of the Deuteron
The root-mean square radius of the deuteron magnetic moment distribution, , is calculated for several realistic models of the --interaction.
For the Paris potential the result is fm. The
dependence of on the choice of model, relativistic effects and
meson exchange currents is investigated. The experimental value of is
also considered. The necessity of new precise measurements of the deuteron
magnetic form factor at low values of is stressed.Comment: 4 pages, RevTe
Defense and security policies of the Russian Federation
Este artigo descreve as polÃticas de segurança e defesa da Federação Russa, enfatizando as envolventes externas que condicionam e definem a elencagem das prioridades pelo governo em termos de
modernização militar para a próxima décad
Navier-Stokes hydrodynamics of thermal collapse in a freely cooling granular gas
We employ Navier-Stokes granular hydrodynamics to investigate the long-time
behavior of clustering instability in a freely cooling dilute granular gas in
two dimensions. We find that, in circular containers, the homogeneous cooling
state (HCS) of the gas loses its stability via a sub-critical pitchfork
bifurcation. There are no time-independent solutions for the gas density in the
supercritical region, and we present analytical and numerical evidence that the
gas develops thermal collapse unarrested by heat diffusion. To get more
insight, we switch to a simpler geometry of a narrow-sector-shaped container.
Here the HCS loses its stability via a transcritical bifurcation. For some
initial conditions a time-independent inhomogeneous density profile sets in,
qualitatively similar to that previously found in a narrow-channel geometry.
For other initial conditions, however, the dilute gas develops thermal collapse
unarrested by heat diffusion. We determine the dynamic scalings of the flow
close to collapse analytically and verify them in hydrodynamic simulations. The
results of this work imply that, in dimension higher than one, Navier-Stokes
hydrodynamics of a dilute granular gas is prone to finite-time density blowups.
This provides a natural explanation to the formation of densely packed clusters
of particles in a variety of initially dilute granular flows.Comment: 18 pages, 19 figure
Growth rates of the Weibel and tearing mode instabilities in a relativistic pair plasma
We present an algorithm for solving the linear dispersion relation in an
inhomogeneous, magnetised, relativistic plasma. The method is a generalisation
of a previously reported algorithm that was limited to the homogeneous case.
The extension involves projecting the spatial dependence of the perturbations
onto a set of basis functions that satisfy the boundary conditions (spectral
Galerkin method). To test this algorithm in the homogeneous case, we derive an
analytical expression for the growth rate of the Weibel instability for a
relativistic Maxwellian distribution and compare it with the numerical results.
In the inhomogeneous case, we present solutions of the dispersion relation for
the relativistic tearing mode, making no assumption about the thickness of the
current sheet, and check the numerical method against the analytical
expression.Comment: Accepted by PPC
Differential Form of the Collision Integral for a Relativistic Plasma
The differential formulation of the Landau-Fokker-Planck collision integral
is developed for the case of relativistic electromagnetic interactions.Comment: Plain TeX, 5 page
Ultra-relativistic electrostatic Bernstein waves
A new general form of the dispersion relation for electrostatic Bernstein waves in ultra-relativistic pair plasmas, characterized by a−1 = kBT/(mec2)  1, is derived in this paper. The parameter Sp = aΩ0/ωp, where Ω0 is the rest cyclotron frequency for electrons or positrons and ωp is the electron (or positron) plasma frequency, plays a crucial role in characterizing these waves. In particular, Sp has a restricted range for permitted wave solutions; this range is effectively unlimited for classical plasmas, but is significant for the ultra-relativistic case. The characterization of these waves is applied in particular to the presence of such plasmas in pulsar atmospheres
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