Multiple regimes of diffusion

Mehlig, B.; Wilkinson, M.; Bezuglyy, V.; Gustavsson, K. and Nakamura, K. (2009). Multiple regimes of diffusion. Physical Review E, 80(011139) pp. 1–10.



We consider the diffusion of independent particles experiencing random accelerations by a space- and time-dependent force as well as viscous damping. This model can exhibit several asymptotic behaviors, depending upon the limiting cases which are considered, some of which have been discussed in earlier work. Here, we explore the full space of dimensionless parameters and present an “asymptotic phase diagram” which delineates the limiting regimes.

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