Transverse Electrical Conductivity of a Relativistic Gas in an Intense Magnetic Field

Statistics – Computation

Scientific paper

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Scientific paper

The transverse electrical conductivity is computed for a system of degenerate relativistic electrons in a strong magnetic field H~1010-1013 G. As suggested by pulsar models, such fields exist in nature in collapsed bodies, like neutron stars. The present computation is valid in the outer regions of the star where the scatterers are not degenerate, while the electrons are taken to be at zero temperature. The scattering mechanism is assumed to be the electron-ion Coulomb scattering. Numerical values of the transverse conductivity are given in the range 109<=H<=1013 G, and a comparison is made with the longitudinal and zero-field conductivities. It is found that for densities 107<=ρ<=5×107, σII~20σ0 and σ0~3σ⊥. As the density increases, both σ⊥ and σII tend to σ0.

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