Anomalous biased diffusion in a randomly layered medium.
We present analytical results for the biased diffusion of particles moving under a constant force in a randomly layered medium. The influence of this medium on the particle dynamics is modeled by a piecewise constant random force. The long-time behavior of the particle position is studied in the frame of a continuous-time random walk on a semi-infinite one-dimensional lattice. We formulate the conditions for anomalous diffusion, derive the diffusion laws, and analyze their dependence on the particle mass and the distribution of the random force.
Denisov
S I
SI
Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany. stdenis@pks.mpg.de
Kantz
H
H
D004058:Diffusion; D008962:Models, Theoretical; D013269:Stochastic Processes; D013696:Temperature