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Title: Slipping and tangential discontinuity instabilities in quasi-one-dimensional planar and cylindrical flows

Abstract

An analytical linear theory of instability of an electron beam with a nonuniform directional velocity (slipping instability) against perturbations with wavelengths exceeding the transverse beam size is offered. An analogy with hydrodynamic instabilities of tangential discontinuity of an incompressible liquid flow is drawn. The instability growth rates are calculated for particular cases and in a general form in planar and cylindrical geometries. The stabilizing effect of the external magnetic field is analyzed.

Authors:
 [1]
  1. Moscow State University (Russian Federation)
Publication Date:
OSTI Identifier:
22760301
Resource Type:
Journal Article
Journal Name:
Plasma Physics Reports
Additional Journal Information:
Journal Volume: 43; Journal Issue: 9; Other Information: Copyright (c) 2017 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-780X
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; ELECTRON BEAMS; HYDRODYNAMICS; INSTABILITY GROWTH RATES; LIQUID FLOW; MAGNETIC FIELDS

Citation Formats

Kuzelev, M. V., E-mail: kuzelev@mail.ru. Slipping and tangential discontinuity instabilities in quasi-one-dimensional planar and cylindrical flows. United States: N. p., 2017. Web. doi:10.1134/S1063780X17090057.
Kuzelev, M. V., E-mail: kuzelev@mail.ru. Slipping and tangential discontinuity instabilities in quasi-one-dimensional planar and cylindrical flows. United States. doi:10.1134/S1063780X17090057.
Kuzelev, M. V., E-mail: kuzelev@mail.ru. Fri . "Slipping and tangential discontinuity instabilities in quasi-one-dimensional planar and cylindrical flows". United States. doi:10.1134/S1063780X17090057.
@article{osti_22760301,
title = {Slipping and tangential discontinuity instabilities in quasi-one-dimensional planar and cylindrical flows},
author = {Kuzelev, M. V., E-mail: kuzelev@mail.ru},
abstractNote = {An analytical linear theory of instability of an electron beam with a nonuniform directional velocity (slipping instability) against perturbations with wavelengths exceeding the transverse beam size is offered. An analogy with hydrodynamic instabilities of tangential discontinuity of an incompressible liquid flow is drawn. The instability growth rates are calculated for particular cases and in a general form in planar and cylindrical geometries. The stabilizing effect of the external magnetic field is analyzed.},
doi = {10.1134/S1063780X17090057},
journal = {Plasma Physics Reports},
issn = {1063-780X},
number = 9,
volume = 43,
place = {United States},
year = {2017},
month = {9}
}