Published online by Cambridge University Press: 13 March 2009
‘On the a.c. electrical conductivity of a Lorentz gas’ by J. H. M. Fu and R. S. B.Ong, J. Plasma Phys. 2, 1968, P. 1.
Calculation of the electrical conductivity
The current density is expressed by
Using the dimensionless velocity c = (m/2θ;)½v and noting that the current density associated with the equilibrium distribution function f0 vanishes, we can write
g(k, c, w) is given formally by
where gns(k, c, w) is given by (2.15) in the original paper, and
with λ = (2θ/m)½/(w/k and δ the Dirac delta function.