TY - JOUR

T1 - Dissipative stationary plasmas

T2 - Kinetic modeling, Bennett's pinch and generalizations

AU - Kiessling, Michael K.H.

AU - Lebowitz, Joel L.

PY - 1994

Y1 - 1994

N2 - The structure of the self-consistent electromagnetic fields, E, B, and one-particle distribution functions, fs, of a stationary dissipative unbounded S-species plasma, which satisfy a system of Maxwell-Vlasov-Fokker- Planck-Boltzmann equations with velocity-independent (effective) dissipation coefficients and applied constant electric field ℰ, is studied. It is proven that when the plasma is invariant along the direction of ℰ, then (a) the fs are given by S drifting Maxwell-Boltzmann distributions, with densities satisfying self-consistent Poisson-Boltzmann equations of the type first considered by Bennett for S=2; (b) all smooth radial current profiles with normalized particle densities satisfy a generalized Bennett relation; (c) Bennett's current profile is the only fully conformally invariant one; (d) there exist other radial solutions with profiles different from Bennett's.

AB - The structure of the self-consistent electromagnetic fields, E, B, and one-particle distribution functions, fs, of a stationary dissipative unbounded S-species plasma, which satisfy a system of Maxwell-Vlasov-Fokker- Planck-Boltzmann equations with velocity-independent (effective) dissipation coefficients and applied constant electric field ℰ, is studied. It is proven that when the plasma is invariant along the direction of ℰ, then (a) the fs are given by S drifting Maxwell-Boltzmann distributions, with densities satisfying self-consistent Poisson-Boltzmann equations of the type first considered by Bennett for S=2; (b) all smooth radial current profiles with normalized particle densities satisfy a generalized Bennett relation; (c) Bennett's current profile is the only fully conformally invariant one; (d) there exist other radial solutions with profiles different from Bennett's.

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U2 - 10.1063/1.870639

DO - 10.1063/1.870639

M3 - Article

AN - SCOPUS:0000815228

SN - 1070-664X

VL - 1

SP - 1841

EP - 1849

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 6

ER -