Relativistic Langmuir solitons - Applications to pulsars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Electrostatic Waves, Pulsars, Relativistic Plasmas, Schroedinger Equation, Solitary Waves, Stellar Models, Bessel Functions, Debye Length, Distribution Functions, Landau Damping, Magnetic Fields, Nonlinear Equations, Plasma Density

Scientific paper

With reference to pulsars the propagation of nonlinear Langmuir waves in a one-dimensional relativistic Vlasov plasma in the presence of a strong magnetic field is analyzed. The nonlinear Schroedinger equation is derived, the stability of this equation is evaluated, and it is shown that very wide Langmuir envelope solitons of frequency-independent width occur in relativistic plasmas. The theory developed is applied to a self-consistent pulsar model that includes relativistic thermal effects. The results indicate that relativistic Langmuir solitons can occur in the turbulent plasma in the vicinity of neutron stars, and the model predicts the observed 100% linear polarization. It is concluded that these solitons are the sources of coherent radiation for radio pulsars.

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