Elementary Theory of Transport Phenomena in Charged-Particle System under Electric Field

抄録

A method to evaluate the transport coefficients of charged particles under an electric field is developed. Two velocity-distribution functions Ψ_s(v₀) and Ψ_c(v′) are introduced in addition to the usual velocity-distribution function f(v). Here, Ψ_s(v₀)dv₀ and Ψ_c(v′)dv are the probabilities of a charged particle starting a new flight with a velocity in the range v₀, dv₀, and making a collision at a velocity in the range v′, dv′, respectively. The velocity-dispersion functions through flight, H(v′, v₀), and through scattering, S(v₀′, v′) are used to determine Ψ_s(v₀). Since H(v′, v₀) includes the full information on the flight of charged particles, the transport coefficients defined in real space have to be expressed directly by Ψ_s(v₀). The velocity-distribution function f(v) and the transport coefficients defined in velocity space are also expressed by Ψ_s(v₀). This method is simple but is applicable to anisotropic systems.