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SUMMARY:Nonlinear Waves and Coherent Structures in Laser Induced Plasmas a
nd Polarized Vacuum
DTSTART;VALUE=DATE-TIME:20190405T120000Z
DTEND;VALUE=DATE-TIME:20190405T130000Z
DTSTAMP;VALUE=DATE-TIME:20200813T015245Z
UID:indico-event-79@cern.ch
DESCRIPTION:Starting from the Vlasov-Maxwell equations describing the dyna
mics of various species in a free quasi-neutral plasma\, an exact relativi
stic hydrodynamic closure for a special type of water-bag distributions sa
tisfying the Vlasov equation has been derived. In the case of magnetized q
uasi-neutral plasma\, the hydrodynamic substitution has been used to deriv
e the hydrodynamic equations governing the evolution of the plasma density
and the current velocity\, which are coupled to the wave equations for th
e self-consistent electromagnetic fields. \n\nBased on the method of multi
ple scales\, a system comprising a vector nonlinear Schrodinger equation f
or the transverse envelopes of the self-consistent plasma wakefield\, coup
led to a scalar nonlinear Schrodinger equation for the electron current ve
locity envelope for free plasma\, has been derived. In the case of magneti
zed plasma\, it has been shown that the whistler wave envelopes of the thr
ee basic modes satisfy a system of three coupled nonlinear Schrodinger equ
ations. Numerical examples for typical plasma parameters have been present
ed\, which demonstrate the relevance of the results thus obtained to the s
o-called shock laser-plasma acceleration. In addition\, it has been shown
that in the case of magnetized plasma\, the whistler waves facilitate the
transverse confinement considerably. \n\nFor the case of classical vacuum
polarization of Heisenberg-Euler type\, a derivative nonlinear Schrodinger
equation for the electromagnetic vector potential has been derived and it
s properties have been analysed. In the case\, where an external constant
magnetic field is applied\, a similar derivative nonlinear Schrodinger equ
ation has been derived. It has been shown that the external magnetic field
considerably enhances the solitary wave formation. This important effect
has been further discussed in view of a possible experiment called upon to
observe the effect of vacuum polarization and magnetization at high inten
sity electromagnetic fields. \n\nhttps://indico.eli-np.ro/event/79/
LOCATION:ELI-NP Big Meeting Room
URL:https://indico.eli-np.ro/event/79/
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