Multiple regimes of diffusion
B. MehligDepartment of Physics, Gothenburg University, 41296 Gothenburg, SwedenMichael WilkinsonDepartment of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes MK7 6AA, United KingdomV. BezuglyyDepartment of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes MK7 6AA, United KingdomK. GustavssonDepartment of Physics, Gothenburg University, 41296 Gothenburg, SwedenKatsuhiro NakamuraDepartment 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
ABI
Аннотация
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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