371 research outputs found
Oblique electromagnetic instabilities for an ultra relativistic electron beam passing through a plasma
We present an investigation of the electromagnetic instabilities which are
trig gered when an ultra relativistic electron beam passes through a plasma.
The linear growth rate is computed for every direction of propagation of the
unstable modes, and temperatures are modelled using simple waterbag
distribution functions. The ultra relativistic unstable spectrum is located
around a very narrow band centered on a critical angle which value is given
analytically. The growth rate of modes propagating in this direction decreases
like k^(-1/3).Comment: 5 pages, 3 figures, to appear in EuroPhysics Letter
Spectral density in resonance region and analytic confinement
We study the role of finite widths of resonances in a nonlocal version of the
Wick-Cutkosky model. The spectrum of bound states is known analytically in this
model and forms linear Regge tragectories. We compute the widths of resonances,
calculate the spectral density in an extension of the Breit-Wigner {\it ansatz}
and discuss a mechanism for the damping of unphysical exponential growth of
observables at high energy due to finite widths of resonances.Comment: 13 pages, RevTeX, 6 figures. Revised version with typographical
corrections and additional comments in conclusion
Time Delay Between Dst Index and Magnetic Storm Related Structure in the Solar Wind
Benson et al. (2015, this volume) selected 10 large magnetic storms, with associated Dst minimum values less than or equal to -100 nT, for which high-latitude topside ionospheric electron density profiles are available from topside-sounder satellites. For these 10 storms, we performed a superposition of Dst and interplanetary parameters B, v, N(sub p) and T(sub p). We have found that two interplanetary parameters, namely B and v, are sufficient to reproduce Dst with correlation coefficient cc approximately 0.96 provided that the interplanetary parameter times are taken 0.15 days earlier than the associated Dst times. Thus we have found which part of the solar wind is responsible for each phase of the magnetic storm. This result is also verified for individual storms as well. The total duration of SRS (storm related structure in the solar wind) is 4 - 5 days which is the same as the associated Dst interval of the magnetic storm
PCT, spin and statistics, and analytic wave front set
A new, more general derivation of the spin-statistics and PCT theorems is
presented. It uses the notion of the analytic wave front set of
(ultra)distributions and, in contrast to the usual approach, covers nonlocal
quantum fields. The fields are defined as generalized functions with test
functions of compact support in momentum space. The vacuum expectation values
are thereby admitted to be arbitrarily singular in their space-time dependence.
The local commutativity condition is replaced by an asymptotic commutativity
condition, which develops generalizations of the microcausality axiom
previously proposed.Comment: LaTeX, 23 pages, no figures. This version is identical to the
original published paper, but with corrected typos and slight improvements in
the exposition. The proof of Theorem 5 stated in the paper has been published
in J. Math. Phys. 45 (2004) 1944-195
Non-Localizability and Asymptotic Commutativity
The mathematical formalism commonly used in treating nonlocal highly singular
interactions is revised. The notion of support cone is introduced which
replaces that of support for nonlocalizable distributions. Such support cones
are proven to exist for distributions defined on the Gelfand-Shilov spaces
, where . This result leads to a refinement of previous
generalizations of the local commutativity condition to nonlocal quantum
fields. For string propagators, a new derivation of a representation similar to
that of K\"{a}llen-Lehmann is proposed. It is applicable to any initial and
final string configurations and manifests exponential growth of spectral
densities intrinsic in nonlocalizable theories.Comment: This version is identical to the initial one whose ps and pdf files
were unavailable, with few corrections of misprint
Diffusive Radiation in One-dimensional Langmuir Turbulence
We calculate spectra of radiation produced by a relativistic particle in the
presence of one-dimensional Langmuir turbulence which might be generated by a
streaming instability in the plasma, in particular, in the shock front or at
the shock-shock interactions. The shape of the radiation spectra is shown to
depend sensitively on the angle between the particle velocity and electric
field direction. The radiation spectrum in the case of exactly transverse
particle motion is degenerate and similar to that of spatially uniform Langmuir
oscillations. In case of oblique propagation, the spectrum is more complex, it
consists of a number of power-law regions and may contain a distinct
high-frequency spectral peak. %at \omega=2\omega\pe \gamma^2. The emission
process considered is relevant to various laboratory plasma settings and for
astrophysical objects as gamma-ray bursts and collimated jets.Comment: 4 pages, 1 figure, accepted for Phys. Rev.
Coherent charge transport through molecular wires: "Exciton blocking" and current from electronic excitations in the wire
We consider exciton effects on current in molecular nanojunctions, using a
model comprising a two two-level sites bridge connecting free electron
reservoirs. Expanding the density operator in the many-electron eigenstates of
the uncoupled sites, we obtain a 16X16 density matrix in the bridge subspace
whose dynamics is governed by Liuoville equation that takes into account
interactions on the bridge as well as electron injection and damping to and
from the leads. Our consideration can be considerably simplified by using the
pseudospin description based on the symmetry properties of Lie group SU(2). We
study the influence of the bias voltage, the Coulomb repulsion and the
energy-transfer interactions on the steady-state current and in particular
focus on the effect of the excitonic interaction between bridge sites. Our
calculations show that in case of non-interacting electrons this interaction
leads to reduction in the current at high voltage for a homodimer bridge. In
other words, we predict the effect of \textquotedblleft
exciton\textquotedblright blocking. The effect of \textquotedblleft
exciton\textquotedblright blocking is modified for a heterodimer bridge, and
disappears for strong Coulomb repulsion at sites. In the latter case the
exciton type interactions can open new channels for electronic conduction. In
particular, in the case of strong Coulomb repulsion, conduction exists even
when the electronic connectivity does not exist.Comment: 14 pages, 15 figure
Spin 1 fields in Riemann-Cartan space-times "via" Duffin-Kemmer-Petiau theory
We consider massive spin 1 fields, in Riemann-Cartan space-times, described
by Duffin-Kemmer-Petiau theory. We show that this approach induces a coupling
between the spin 1 field and the space-time torsion which breaks the usual
equivalence with the Proca theory, but that such equivalence is preserved in
the context of the Teleparallel Equivalent of General Relativity.Comment: 8 pages, no figures, revtex. Dedicated to Professor Gerhard Wilhelm
Bund on the occasion of his 70th birthday. To appear in Gen. Rel. Grav.
Equations numbering corrected. References update
Pseudoclassical description of scalar particle in non-Abelian background and path-integral representations
Path-integral representations for a scalar particle propagator in non-Abelian
external backgrounds are derived. To this aim, we generalize the procedure
proposed by Gitman and Schvartsman 1993 of path-integral construction to any
representation of SU(N) given in terms of antisymmetric generators. And for
arbitrary representations of SU(N), we present an alternative construction by
means of fermionic coherent states. From the path-integral representations we
derive pseudoclassical actions for a scalar particle placed in non-Abelian
backgrounds. These actions are classically analyzed and then quantized to prove
their consistency
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