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  • 1
    Electronic Resource
    Electronic Resource
    Nonlinear bound on unstable field energy in relativistic electron beams and plasmas (1989)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 1 (1989), S. 195-203 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: This paper makes use of Fowler's method [J. Math Phys. 4, 559 (1963)] to determine the nonlinear thermodynamic bound on field energy in unstable plasmas or electron beams in which the electrons are relativistic. Treating the electrons as the only active plasma component, the nonlinear Vlasov–Maxwell equations and the associated global conservation constraints are used to calculate the lowest upper bound on the field energy [ΔEF]max that can evolve for the general initial electron distribution function fb 0≡fb(x,p,0). The results are applied to three choices of the initial distribution function fb 0. Two of the distribution functions have an inverted population in momentum p⊥ perpendicular to the magnetic field B0eˆz, and the third distribution function reduces to a bi-Maxwellian in the nonrelativistic limit. The lowest upper bound on the efficiency of radiation generation, ηmax=[ΔEF]max/[V−1∫d3x∫ d3p(γ−1)mc2fb 0], is calculated numerically over a wide range of system parameters for varying degrees of initial anisotropy.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.859087
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  • 2
    Electronic Resource
    Electronic Resource
    Filamental quenching of the current-driven ion-cyclotron instability (1985)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 28 (1985), S. 432-434 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Experimental evidence is presented on the effect of the finite width of the current channel for the excitation of the current-driven ion-cyclotron instability. The results are in agreement with the nonlocal theory of Bakshi, Ganguli, and Palmadesso.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865412
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  • 3
    Electronic Resource
    Electronic Resource
    Electromagnetic Weibel instability in a fully relativistic bi-Maxwellian plasma (1989)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 1 (1989), S. 1336-1338 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Detailed properties of the classical electromagnetic Weibel instability in a relativistic unmagnetized plasma are investigated for a fully relativistic bi-Maxwellian distribution. In particular, exact analytical expressions for the range of unstable wavenumbers, conditions for the instability, and the growth rate of the unstable mode for weak anisotropy are derived. The analysis shows that relativistic effects tend to stabilize the Weibel instability.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858961
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