Multiple regimes of diffusion

B. Mehlig, M. Wilkinson, V. Bezuglyy, K. Gustavsson, and K. Nakamura

Phys. Rev. E 80, 011139 – Published 28 July 2009

Abstract

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.

Received 21 January 2009

DOI:https://doi.org/10.1103/PhysRevE.80.011139

Authors & Affiliations

B. Mehlig¹, M. Wilkinson², V. Bezuglyy², K. Gustavsson¹, and K. Nakamura³

¹Department of Physics, Gothenburg University, 41296 Gothenburg, Sweden
²Department of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes MK7 6AA, United Kingdom
³Department of Applied Physics, Osaka City University, Osaka 558-8585, Japan and Department of Heat Physics, Uzbek Academy of Sciences, 28 Katartal Street, 100135 Tashkent, Uzbekistan

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Vol. 80, Iss. 1 — July 2009

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Physical Review E

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