 Anomalous statistics of particle spreading in quenched random velocity fieldM. Ghasemi Nezhadhaghighi Physica A: Statistical Mechanics and its Applications, 2020, vol. 557, issue C Abstract: We study the motion of a random walker in two dimensional randomly oriented Manhattan lattice where each horizontal and vertical link in a regular square lattice is assigned a random direction. This model describes the anomalous diffusion properties of the tracer particles that are driven by a random unidirectional zero mean velocity field. By means of numerical analysis and with the use of qth order moment 〈xq(t)〉∼tqβ, we find the anomalous scaling exponent β=2∕3 that perfectly agrees with previous studies. We develop some precise results to understand the anomalous nature of random motion in random environments. This is done by the study of non-Gaussian properties of the probability density function, logarithmic scaling of the diffusion entropy and weak ergodicity analysis. It is also found that the mean exit times from a bounded domain is related to the fractal nature of the process. Keywords: Anomalous diffusion; Random walk; Random environment; Super-diffusive process (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:557:y:2020:i:c:s0378437120305100 DOI: 10.1016/j.physa.2020.124977 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
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