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A linear closed equation of the form ε̇(t)=ωε(t) +∫t0Λ(t−t′) ε (t′)dt′ is proposed to describe the nonlinear relaxation of electron energy ε(t) in the Lorentz gas. Higher-order memory functions associated with Λ(t) decay rapidly, and are easily amenable to approximation. Good numerical results for ε(t) suggest a useful extension of our memory function approach to many nonlinear problems for calculating various integral quantities.
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Nishigori et al. (1985) studied this question.
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