2013•Japanese Journal of Applied PhysicsOpen access

Coulomb Logarithm Formulae for Collisions between Species with Different Temperatures

M. Honda

Abstract

This brief note proposes the practically useful Coulomb logarithm formulae that can be applied to collisions between any particles in a plasma consisting of various species with different temperatures. The classical and quantum-mechanical formulae of the Coulomb logarithm are both derived and are seamlessly connected. Their wide and flexible applicability is suitable for implementation in numerical codes. The formulae proposed can recover the previously-known ones that are valid for specific cases.

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Key concepts: Logarithm, Coulomb, Explicit formulae, Physics, Mathematics, Applied mathematics, Statistical physics, Quantum mechanics