Abstract
The dynamical conductivity of the Lorentz gas with spherically symmetric potentials is studied to lowest order in the density of scatterers. The frequency-dependent friction coefficient is calculated from the Fourier transform of the force–force time-correlation function determined by the dynamics of a single scattering process. The corresponding dynamical conductivity varies with frequency on the scale of the inverse collision time. As an example, the conductivity is calculated for a scattering potential of the Maxwell type.
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Felderhof, B.U. Dynamical Conductivity of the Dilute Lorentz Gas with Spherically Symmetric Scatterers. Journal of Statistical Physics 93, 307–329 (1998). https://doi.org/10.1023/B:JOSS.0000026736.41183.8b
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DOI: https://doi.org/10.1023/B:JOSS.0000026736.41183.8b