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In Eq. (2.4) we dropped a term that depends on the initial condition for the particle and decays on a time scale given by the memory time of the reservoir
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In Eq. (2.4) we dropped a term that depends on the initial condition for the particle and decays on a time scale given by the memory time of the reservoir.
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It should be noted that, due to the explicit time dependence of the perturbation, the correlation function ≺q (t+ r) q(t) + q(t)q(t + τ)≻/2 depends separately on the time arguments t and τ. The time-averaged function C̄( τ) is again only a function of the time difference τ[6].
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(0)(Ω) = 2 Imχ̃(Ω)/βΩ and equals the classical FDT.
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