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The introduction of (Formula presented) guarantees particle diffusion for long times, and suppresses the possible anomalous diffusion and concomitant divergence of (Formula presented) for low frequencies. See Wagenhuber et al., Ref. 4. We choose typical values for the scattering time of (Formula presented) sec (or (Formula presented) for a relatively good mobility in GaAs of 30 (Formula presented) although our conclusions are insensitive to the detailed value of (Formula presented) as we illustrate.
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The introduction of (Formula presented) guarantees particle diffusion for long times, and suppresses the possible anomalous diffusion and concomitant divergence of (Formula presented) for low frequencies. See Wagenhuber et al., Ref. 4. We choose typical values for the scattering time of (Formula presented) sec (or (Formula presented) for a relatively good mobility in GaAs of 30 (Formula presented) although our conclusions are insensitive to the detailed value of (Formula presented) as we illustrate.
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Notice that since the modulation is magnetic, the particle does not really “collide” with maxima, as in the case of an electrostatic modulation. Here, the particle trajectory continually decreases its radius of curvature as it approaches a more intense field, and is then deflected away from it much more smoothly than in the electrostatic/scalar potential case. See, e.g., L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields (Pergamon, New York, 1975).
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The Classical Theory of Fields
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Lifshitz, E.M.2
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