Random walk in a two-dimensional self-affine random potential : properties of the anomalous diffusion phase at small external force

Details Random walk in a two-dimensional self-affine random potential : properties of the anomalous diffusion phase at small external force Random walk in a two-dimensional self-affine random potential : properties of the anomalous diffusion phase at small external force

2010-03-08

arxiv.org/abs/1003.1627v2

Phys. Rev. E 82, 021125 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 8 figures, v2=final version

Scientific paper

10.1103/PhysRevE.82.021125

We consider the random walk of a particle in a two-dimensional self-affine random potential of Hurst exponent $H=1/2$ in the presence of an external force $F$. We present numerical results on the statistics of first-passage times that satisfy closed backward master equations. We find that there exists a zero-velocity phase in a finite region of the external force $0

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