Scaling laws for random walks in long-range correlated disordered media

Fricke, N.; Zierenberg, Johannes; Marenz, M.; Spitzner, F. P.; Blavatska, V.; Janke, W.

doi:10.5488/CMP.20.13004

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Scaling laws for random walks in long-range correlated disordered media

MPS-Authors

/persons/resource/persons205375

Zierenberg, Johannes
Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

Fricke, N., Zierenberg, J., Marenz, M., Spitzner, F. P., Blavatska, V., & Janke, W. (2017). Scaling laws for random walks in long-range correlated disordered media. Condensed Matter Physics, 20(1): 13004. doi:10.5488/CMP.20.13004.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-9EA6-8

Abstract

We study the scaling laws of diffusion in two-dimensional media with long-range correlated disorder through exact enumeration of random walks. The disordered medium is modelled by percolation clusters with correlations decaying with the distance as a power law, r(-a), generated with the improved Fourier filtering method. To characterize this type of disorder, we determine the percolation threshold pc by investigating cluster-wrapping probabilities. At pc, we estimate the (sub-diffusive) walk dimension d(w) for different correlation exponents a. Above pc, our results suggest a normal random walk behavior for weak correlations, whereas anomalous diffusion cannot be ruled out in the strongly correlated case, i.e., for small a.