Nonlinear screening effect in an ultrarelativistic degenerate electron-positron gas

Details Nonlinear screening effect in an ultrarelativistic degenerate electron-positron gas Nonlinear screening effect in an ultrarelativistic degenerate electron-positron gas

Nov 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009phpl...16k2307t&link_type=abstract

Physics of Plasmas, Volume 16, Issue 11, pp. 112307-112307-6 (2009).

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Astrophysical Plasma, Electron-Positron Interactions, Nonlinear Differential Equations, Plasma Fluctuations, Plasma Nonlinear Processes, Plasma Thermodynamics, Poisson Equation, Relativistic Plasmas, Thomas-Fermi Model, Relativistic Plasmas, Nonlinear Phenomena: Waves, Wave Propagation, And Other Interactions, Thermodynamics Of Plasmas, Fluctuation And Chaos Phenomena

Scientific paper

Nonlinear screening process in an ultrarelativistic degenerate electron-positron gas has been investigated by deriving a generalized nonlinear Poisson equation for the electrostatic potential. In the simple one-dimensional case, the nonlinear Poisson equation leads to Debye-like (Coulomb-like) solutions at distances larger (less) than the characteristic length. When the electrostatic energy is larger than the thermal energy, this nonlinear Poisson equation converts into the relativistic Thomas-Fermi equation whose asymptotic solution in three dimensions shows that the potential field goes to zero at infinity much more slowly than the Debye potential. The possibility of the formation of a bound state in electron-positron plasma is also indicated. Further, it is investigated that the strong spatial fluctuations of the potential field may reduce the screening length and that the root mean square of this spatial fluctuating potential goes to zero for large r rather slowly as compared to the case of the Debye potential.

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