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  • American Institute of Physics (AIP)  (7)
  • Institute of Physics  (7)
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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 9 (2002), S. 1555-1564 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A new numerical approach to solve the linear integrodifferential Fokker–Planck equation (FPE), which describes a collisional and magnetized plasma, is presented. For this purpose, the FPE is reduced to a simple set of ordinary differential equations, which can be easily solved, with the use of standard numerical methods. The transport coefficients induced by the first anisotropic distribution function computed by Braginskii [Reviews of Plasma Physics (Consultants Bureau, New York, 1965), Vol. 1] and improved by Epperlein and Haines [Phys. Fluids 29, 1029 (1986)], have been recovered. The viscosity coefficients are computed for arbitrary atomic numbers and arbitrary magnetic field strength and are compared to the results reported in the literature. © 2002 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 9 (2002), S. 35-46 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An analytical method to solve the time-dependent linearized Vlasov equation is carried out by making use of the method developed recently in the literature [K. Bendib and A. Bendib, Phys. Plasmas 6, 1500 (1999)]. The distribution function is computed with respect to the continued fractions and the collisionless transport coefficients are deduced. These transport coefficients have been used to close the fluid equations and it has been checked that the fluid and the kinetic response functions coincide very accurately for arbitrary normalized phase velocities ξ=ω/2kvt, where ω and k are the frequency and the wave number of the plasma modes and vt is the thermal velocity. The collisionless fluid equations have been expressed with respect to a phenomenological ratio of specific heats Γ(ξ) and a fluid damping rate ν(ξ), which include the kinetic effects. They are used to study the dispersion relation of the Langmuir waves and of the thermal filamentation instability. © 2002 American Institute of Physics.
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 7 (2000), S. 1386-1396 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The solution of the Fokker–Planck equation which contains the contribution of high-frequency electric fields is presented. For this, the projection operators of the Krook collision operator and the semicollisional propagator computed with the continued fractions were used. Both elastic and inelastic momentum transfer from the high-frequency electric field to electrons have been considered. The contributions of such high-frequency electric fields to the stress tensor and to the mean change of momentum due to electron–ion collisions are derived in the whole collisionality range. As a result, in the collisionless range, these contributions led to a new force which is 1.6 (instead of 4/3) more important than the Miller force. In the collisional range, the radiative force due to the inverse bremsstrahlung absorption is recovered and a new contribution which arises from the mean change of momentum due to collisions is found. © 2000 American Institute of Physics.
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 2807-2814 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A large amplitude electromagnetic wave propagating in a plasma is known to be subject to severe modulational and Raman instabilities. Previous works were devoted to the weakly relativistic limit and applied mainly to a cold underdense plasma. One extends these works to include the fully relativistic limit for a circularly polarized light for which one derives the dispersion relation in a one-dimensional plasma. The characteristics of the instabilities are also calculated in the case where the plasma is classically overdense, with 1〈(ωp/ω0)2〈γ, where ωp is the plasma frequency, ω0 is the laser frequency, and γ is the relativistic factor of an electron in the laser field. Particle-in-cell simulations confirm the results of the numerical solutions of the dispersion relation. For (ωp/ω0)2/γ=0.57 the growth rate can be as large as 0.52ω0. The nonlinear stage of the instability results in a strong heating of the electron distribution function. The theory is further extended to the case of an initially hot plasma, for which the dispersion relation of the instabilities is established. Its analytical solution is given in the case of a low density plasma. Particle-in-cell simulations are used to treat the general case. One observes a strong reduction of the growth rate of the instability, which tends to restore the possibility to propagate relativistic waves in plasmas. © 1995 American Institute of Physics.
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 6 (1999), S. 4008-4014 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The kinetic theory of the stationary and nonstationary thermal filamentation instability in fully ionized plasmas is presented. The collisionless transport limit is modeled by new transport coefficients corresponding to the convective heat flux and the temperature anisotropy. It is shown, in particular, that these effects decrease the instability growth rates by about a factor of 2, in conditions typical of current experiments. These two effects, combined with the collisional absorption of the light energy by the plasma electrons, lead to a thermal growth rate comparable to the one due to the ponderomotive drive. The comparison of the results obtained in this work with the principal results established in the literature, is also presented. © 1999 American Institute of Physics.
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  • 6
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 31 (1988), S. 711-713 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A new heat flux formula valid in strong inhomogeneous laser-produced plasmas has been derived from the Fokker–Planck equation. The nonlocal treatment of Luciani et al. [Phys. Rev. Lett. 51, 1664 (1983); Phys. Fluids 28, 835 (1985)] is improved by taking into account the electric potential effect. A simple and reliable phenomenological formula is proposed, which is in good agreement with numerical Fokker–Planck computations.
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  • 7
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 30 (1987), S. 1353-1361 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The local dispersion relation of weak magnetic modes for an arbitrary wavelength ranging from collisional to collisionless cases is derived. The convection velocity and the growth rate are explicitly computed. The convection effects are emphasized and a significant departure from collisional Nernst law is shown to occur even for rather low wavenumbers. In laser plasma experiments, this prevents the convection of intermediate scale magnetic structures generated near the critical layer toward high densities. An explicit convection velocity formula is proposed that is directly usable for numerical purposes. The mathematical tools used in this work are continuous fractions arising naturally from the Fokker–Planck equation with a Landau collisional operator, so that this method can be used to study collisional effects on other plasma modes.
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  • 8
    Publication Date: 2008-07-31
    Print ISSN: 0031-8949
    Electronic ISSN: 1402-4896
    Topics: Physics
    Published by Institute of Physics
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  • 9
    Publication Date: 2002-01-22
    Print ISSN: 0022-3727
    Electronic ISSN: 1361-6463
    Topics: Physics
    Published by Institute of Physics
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  • 10
    Publication Date: 2016-08-25
    Print ISSN: 0963-0252
    Electronic ISSN: 1361-6595
    Topics: Physics
    Published by Institute of Physics
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