Morphology of growth by random walk deposition

Josivaldo A. Cordeiro, Marcos V.B.T. Lima, Raul M. Dias and Fernando A. Oliveira

Physica A: Statistical Mechanics and its Applications, 2001, vol. 295, issue 1, 209-214

Abstract: We simulate a deposition model with a break of symmetry induced by a point source. We find that Tsallis anomalous distribution for random walks n(x)=N(A)/[1+b(q−1)x2]q/(q−1) produces a good fit to the data. We obtain the mean square displacement 〈x2〉 and the total number of deposited particles N, and compare them to the Gaussian case. Our main conclusions are twofold: first, the parameter q is size dependent; second, long range correlations imply in a violation of the law of great numbers.

Keywords: Growth; Deposition; Random walks (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:295:y:2001:i:1:p:209-214

DOI: 10.1016/S0378-4371(01)00075-9

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