Statistics – Computation
Scientific paper
Feb 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.176..171i&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 176, no. 2, Feb. 1991, p. 171-189, 191-215.
Statistics
Computation
22
Electrical Resistivity, Fermi Liquids, Neutron Stars, Particle Collisions, Stellar Cores, Stellar Magnetic Fields, Computational Astrophysics, Cosmic Plasma, Degenerate Matter, Fermions, Momentum Transfer
Scientific paper
The paper presents the general equations describing the conductivity and resistivity tensors in a multicomponent plasma of strongly degenerate fermions with a magnetic field. The equations are derived in terms of rates of momentum transfer in particle collisions. Closed-form equations are found for two-, three-, and four-component plasmas. The universal temperature and magnetic field dependence of the conductivity and resistivity are demonstrated by scaling relations. For the presence and absence of electrically neutral particles in a plasma, two qualitatively different magnetic field dependences of the transverse resistivity are described in the high-field limit where s is greater than 2. The expression for the momentum transfer rate in collisions between different particles is simplified and shown in forms for further applications. The general theory of electrical conductivity of a multicomponent mixture of degenerate fermions in the magnetic field is applied to matter in neutron star interiors at densities greater than rho0, where rho0 equals 2.8 x 10 to the 14th g/cu cm is the standard nuclear matter density.
Iakovlev D. G.
Shalybkov Dmitry A.
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