Envelope solitons and nonstationary shocks created by intense neutrino beams in dense plasmas

Shukła, P. K.; Stenflo, L.; Tsintsadze, Levan N.; Цинцадзе, Н. Л.

doi:10.1063/1.1488142

Physics of Plasmas

2002

DOI: 10.1063/1.1488142

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Envelope solitons and nonstationary shocks created by intense neutrino beams in dense plasmas

P. K. Shukła

L. Stenflo

Levan N. Tsintsadze

et al.

Abstract: The nonlinear interaction between intense neutrino beams and sound waves in dense plasmas is considered. Accordingly, a Schrödinger-type equation is derived for the amplitude wave function of neutrinos interacting with a background plasma via the weak Fermi force. The neutrino driving (ponderomotive) force pushes the plasma electrons locally, thereby creating space charge electric fields through which the inertial ions are reinforced. It is shown that the nonlinearly coupled neutrinos and the ion sound perturb… Show more

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Cited by 4 publications

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“…( 2) can be used to obtain a Schro¨dinger equation for a neutrino (antineutrino) wave packet Éðr; tÞ [19] (see also Ref. [20,21] for a similar treatment of neutrino-electron interactions)…”

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Splitting and Focusing of Neutrino Collective States

2004

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It is shown that the collective nonlinear interactions between intense neutrino or anti-neutrino fluxes and a dense neutrino plasma are governed by a multidimensional coupled cubic Schrödinger equation in which the interaction potential is positive or negative depending on the neutrino type. The cubic Schrödinger equation describes the splitting and focusing of intense neutrino beams due to the nonlinear excitations associated with the modifications of the individual neutrino energies in a dense neutrino background. Keywords: neutrino properties, supernova neutrinos, ultra high energy photons and neutrinosNeutrinos and anti-neutrinos are produced in the Sun and in supernovae during violent processes. The propagation of intense neutrinos in ionised media (dense plasmas) is a topic of current interest in view of the fact that neutrinos may be massive [1]. Because of their weak interaction with charged and neutral particles, neutrinos (or anti-neutrinos) can travel great distances without being affected appreciably by material obstacles. Massive neutrinos can account for neutrino oscillations and associated flavour change in solar plasmas [2,3], while in supernovae and cosmology they may play a decisive role in reviving shocks for supernovae explosions, as well as in accounting for the missing dark matter in our Universe [4].In the present paper, we employ a semi-classical approach to consider the nonlinear interaction between neutrinos and anti-neutrinos in neutrino plasmas. Using an effective field theory approach, a system of coupled nonlinear Schrödinger equations is derived, and it is shown that these equations admit splitting and focusing of intense neutrino (or anti-neutrino) beams due to the nonlinearities associated with the weak nuclear forces of the neutrinos/anti-neutrinos that are interacting with the background neutrinos. ‡

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Splitting and Focusing of Neutrino Collective States

2004

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A specific property of electromagnetic waves interacting with dust-laden plasma

et al. 2006

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The propagation pattern of electromagnetic waves (EMWs) in dusty plasmas is quite different from that in electron-ion plasmas. For instance, here the ponderomotive force acts on dust grains as a negative pressure, and a nonlinear Schrödinger equation with an additional nonlinear term is obtained. Based on this equation, the modulation instability is examined and it is shown that the growth rate becomes maximum when that additional term compensates the diffraction term. The main part of this work is devoted to the localization of the grains by the EMW. Considering both subsonic and supersonic regimes, it has been shown that under certain conditions the grains are localized and the ions circumnavigate the grains, whereas the electrons escape from the region of localization. Further, the localization of grains by the EMW is found to be shape-dependent of the pulse. Comparing pancake and light bullet shaped pulses in the supersonic regime, and it is shown that only the light bullet shape leads to the compression of grains. Finally, investigating nonstationary solution, it is shown that for some parameters, the nonlinear wave breaking and the formation of a shock wave can take place.

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A new mode and its interaction through ponderomotive force in electron-positron-ion plasmas

2011

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A new mode is found in e-p-i plasma in the presence of density and temperature difference of lighter particles. The electron beam induced Cherenkov instability condition for the excitation of positron sound wave is obtained for the system under consideration. Zakharov’s equation with sign modification due to negative Ponderomotive pressure is obtained. Nonlinear Schrödinger wave equation for the envelope type solitary waves is derived. Both stationary and nonstationary solutions are found and the subsonic and supersonic limits are also discussed. In the stationary case, rarefactive type solitary solution is obtained, whereas the nonstationary case yields the ion acoustic shock like structure solution which is very interesting. The importance of the study with relevance to both laboratory and astrophysical plasmas is pointed out.

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Envelope solitons and nonstationary shocks created by intense neutrino beams in dense plasmas

Cited by 4 publications

References 26 publications

Splitting and Focusing of Neutrino Collective States

Splitting and Focusing of Neutrino Collective States

A specific property of electromagnetic waves interacting with dust-laden plasma

A new mode and its interaction through ponderomotive force in electron-positron-ion plasmas

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