For pt.II see ibid., vol.2, p.213 (1981). The ratio of the diffusion coefficient of electrons to their mobility is kT/q, in close analogy with a result first obtained by Einstein for Brownian motion. A similar relation holds for electrons and holes in semiconductors and it has been generalised in various ways. It also enters into theories for the screening length and for the velocity of sound in solids.
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P. T. Landsberg (1981) studied this question.
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