122 research outputs found
On radiative damping in plasma-based accelerators
Radiative damping in plasma-based electron accelerators is analyzed. The
electron dynamics under combined influence of the constant accelerating force
and the classical radiation reaction force is studied. It is shown that
electron acceleration cannot be limited by radiation reaction. If initially the
accelerating force was stronger than the radiation reaction force then the
electron acceleration is unlimited. Otherwise the electron is decelerated by
radiative damping up to a certain instant of time and then accelerated without
limits. Regardless of the initial conditions the infinite-time asymptotic
behavior of an electron is governed by self-similar solution providing
unlimited acceleration. The relative energy spread induced by the radiative
damping decreases with time in the infinite-time limit
Chern-Simons Correlations on (2+1)D Lattice
We have computed the contribution of zero modes to the value of the number of
particles in the model of discrete (2+1)-dimensional nonlinear Schr\"odinger
equation. It is shown for the first time that in the region of small values of
the Chern-Simons coefficient k there exists a universal attraction between
field configurations. For k=2 this phenomenon may be a dynamic origin of the
semion pairing in high temperature superconducting state of planar systems.Comment: 9 pages, 2 figures Sabj-class: Strongly Correlated Electron
Stability of solitary waves for the generalized higher-order Boussinesq equation
This work studies the stability of solitary waves of a class of sixth-order
Boussinesq equations.Comment: 32 pages. Submitte
Energy Bounds of Linked Vortex States
Energy bounds of knotted and linked vortex states in a charged two-component
system are considered. It is shown that a set of local minima of free energy
contains new classes of universality. When the mutual linking number of vector
order parameter vortex lines is less than the Hopf invariant, these states have
lower-lying energies.Comment: 4 pages, Latex2
Saturable discrete vector solitons in one-dimensional photonic lattices
Localized vectorial modes, with equal frequencies and mutually orthogonal
polarizations, are investigated both analytically and experimentally in a
one-dimensional photonic lattice with saturable nonlinearity. It is shown that
these modes may span over many lattice elements and that energy transfer among
the two components is both phase and intensity dependent. The transverse
electrically polarized mode exhibits a single-hump structure and spreads in
cascades in saturation, while the transverse magnetically polarized mode
exhibits splitting into a two-hump structure. Experimentally such discrete
vector solitons are observed in lithium niobate lattices for both coherent and
mutually incoherent excitations.Comment: 4 pages, 5 figures (reduced for arXiv
Quantum vortices in systems obeying a generalized exclusion principle
The paper deals with a planar particle system obeying a generalized exclusion
principle (EP) and governed, in the mean field approximation, by a nonlinear
Schroedinger equation. We show that the EP involves a mathematically simple and
physically transparent mechanism, which allows the genesis of quantum vortices
in the system. We obtain in a closed form the shape of the vortices and
investigate its main physical properties.
PACS numbers: 03.65.-w, 03.65.Ge, 05.45.YvComment: 7 pages, 4 figure
Photon- and meson-induced reactions on the nucleon
In an unitary effective Lagrangian model we develop a unified description of
both meson scattering and photon-induced reactions on the nucleon. Adding the
photon to an already existing model for meson-nucleon scattering yields both
Compton and meson photoproduction amplitudes. In a simultaneous fit to all
available data involving the final states , , ,
and the parameters of the nucleon resonances are
extracted.Comment: 57 pages, 14 figures, LaTex (uses Revtex and graphicx). Submitted to
Phys. Rev. C. References updated, Fig. 14 change
On a higher dimensional version of the Benjamin--Ono equation
We consider a higher dimensional version of the Benjamin--Ono equation,
, where
denotes the Riesz transform with respect to the first
coordinate. We first establish sharp space--time estimates for the associated
linear equation. These estimates enable us to show that the initial value
problem for the nonlinear equation is locally well-posed in -Sobolev
spaces , with if and if . We also provide ill-posedness results.Comment: We also show that in dimension 2 our results are shar
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