965 research outputs found
Nonlinear structures: explosive, soliton and shock in a quantum electron-positron-ion magnetoplasma
Theoretical and numerical studies are performed for the nonlinear structures
(explosive, solitons and shock) in quantum electron-positron-ion
magnetoplasmas. For this purpose, the reductive perturbation method is employed
to the quantum hydrodynamical equations and the Poisson equation, obtaining
extended quantum Zakharov-Kuznetsov equation. The latter has been solved using
the generalized expansion method to obtain a set of analytical solutions, which
reflect the possibility of the propagation of various nonlinear structures. The
relevance of the present investigation to the white dwarfs is highlighted.Comment: 7 figure
Polarisation observables in lepton antilepton to proton antiproton reactions including lepton mass
General expressions, including the lepton mass, for the spin averaged
differential cross section for the annihilation reaction lepton antilepton to
proton antiproton are given, as well as general formulae for the single and
double spin asymmetries in the centre of mass frame. In particular we discuss
the single spin asymmetry, normal to the scattering plane, which measures the
relative phase difference between nucleon electromagnetic form factors
and . Recent experimental investigations of these form factors in the
space and time like region are reviewed. It is thought that measurements of the
phase of these form factors will provide fundamental information on the
internal nucleon structure. The phases between and are accessible
through polarisation observables measured in the antiproton proton to lepton
antilepton reaction, or in its time reversed process.Comment: 14 pages, to be submitted to EPJ
Fast electron slowing-down and diffusion in a high temperature coronal X-ray source
Finite thermal velocity modifications to electron slowing-down rates may be important for the deduction of solar flare total electron energy. Here we treat both slowing-down and velocity diffusion of electrons in the corona at flare temperatures, for the case of a simple, spatially homogeneous source. Including velocity diffusion yields a consistent treatment of both "accelerated" and "thermal" electrons. It also emphasises that one may not invoke finite thermal velocity target effects on electron lifetimes without simultaneously treating the contribution to the observed X-ray spectrum from thermal electrons. We present model calculations of the X-ray spectra resulting from injection of a power-law energy distribution of electrons into a source with finite temperature. Reducing the power-law distribution low-energy cutoff to lower and lower energies only increases the relative magnitude of the thermal component of the spectrum, because the lowest energy electrons simply join the background thermal distribution. Acceptable fits to RHESSI flare data are obtained using this model. These also demonstrate, however, that observed spectra may in consequence be acceptably consistent with rather a wide range of injected electron parameters
Evidence for topological nonequilibrium in magnetic configurations
We use direct numerical simulations to study the evolution, or relaxation, of
magnetic configurations to an equilibrium state. We use the full single-fluid
equations of motion for a magnetized, non-resistive, but viscous fluid; and a
Lagrangian approach is used to obtain exact solutions for the magnetic field.
As a result, the topology of the magnetic field remains unchanged, which makes
it possible to study the case of topological nonequilibrium. We find two cases
for which such nonequilibrium appears, indicating that these configurations may
develop singular current sheets.Comment: 10 pages, 5 figure
Two-stream instability in finite beams
The streaming instabilities of a finite beam of charged particles passing through a zero-temperature plasma are studied. It is shown that there are no eigenmodes associated with the instabilities. Nevertheless, by constructing wave-packet disturbances one is led to instabilities similar to those for a beam of infinite extent
Possible Method for Measuring the Proton Form Factors in Processes with and without Proton Spin Flip
The ratio of the squares of the electric and magnetic proton form factors is
shown to be proportional to the ratio of the cross sections for the elastic
scattering of an unpolarized electron on a partially polarized proton with and
without proton spin flip. The initial proton at rest should be polarized along
the direction of the motion of the final proton. Similar results are valid for
both radiative scattering and the photoproduction of pairs on a proton in
the Bethe--Heitler kinematics. When the initial proton is fully polarized in
the direction of the motion of the final proton, the cross section for the process, as well as for the and processes, without (with) proton spin flip is expressed only in terms of
the square of the electric (magnetic) proton form factor. Such an experiment on
the measurement of the cross sections without and with proton spin flip would
make it possible to acquire new independent data on the behavior of
and , which are necessary for resolving the
contradictions appearing after the experiment of the JLab collaboration on the
measurement of the proton form factors with the method of polarization transfer
from the initial electron to the final proton.Comment: 7 pages, revtex
On radiative corrections for unpolarized electron proton elastic scattering
A statistical analysis of the elastic unpolarized electron proton scattering
data shows that, at large momentum transfer, the size and the
dependence of the radiative corrections, as traditionally calculated and
applied, may induce large correlations of the parameters of the Rosenbluth fit,
which prevent a correct extraction of the electric proton form factor. Using
the electron QED structure (radiation) function approach the cross section of
elastic electron-proton scattering in leading and next-to leading
approximations is calculated and expressed as a correction to the Born cross
section, which is different for the electric and the magnetic contribution.
When properly applied to the data, it may give the solution to the problem of
the discrepancy of the polarized and unpolarized results on electron proton
scattering.Comment: 11 pagex, 5 figure
Transport coefficients and ladder summation in hot gauge theories
We show how to compute transport coefficients in gauge theories by
considering the expansion of the Kubo formulas in terms of ladder diagrams in
the imaginary time formalism. All summations over Matsubara frequencies are
performed and the analytical continuation to get the retarded correlators is
done. As an illustration of the procedure, we present a derivation of the
transport equation for the shear viscosity in the scalar theory. Assuming the
Hard Thermal Loop approximation for the screening of distant collisions of the
hard particles in the plasma, we derive a couple of integral equations for the
effective vertices which, to logarithmic accuracy, are shown to be identical to
the linearized Boltzmann equations previously found by Arnold, Moore and Yaffe.Comment: 34 pages, 7 figures v2. Added discussion on box topologies for the
ladder rungs. Version to appear in Phys. Rev.
Classical motion in force fields with short range correlations
We study the long time motion of fast particles moving through time-dependent
random force fields with correlations that decay rapidly in space, but not
necessarily in time. The time dependence of the averaged kinetic energy and
mean-squared displacement is shown to exhibit a large degree of universality;
it depends only on whether the force is, or is not, a gradient vector field.
When it is, p^{2}(t) ~ t^{2/5} independently of the details of the potential
and of the space dimension. Motion is then superballistic in one dimension,
with q^{2}(t) ~ t^{12/5}, and ballistic in higher dimensions, with q^{2}(t) ~
t^{2}. These predictions are supported by numerical results in one and two
dimensions. For force fields not obtained from a potential field, the power
laws are different: p^{2}(t) ~ t^{2/3} and q^{2}(t) ~ t^{8/3} in all dimensions
d\geq 1
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