Transient superdiffusion in random walks with a q-exponentially decaying memory profile

Thiago R.S. Moura, G.M. Viswanathan, M.A.A. da Silva, J.C. Cressoni and L.R. da Silva

Physica A: Statistical Mechanics and its Applications, 2016, vol. 453, issue C, 259-263

Abstract: We propose a random walk model with q-exponentially decaying memory profile. The q-exponential function is a generalization of the ordinary exponential function. In the limit q→1, the q-exponential becomes the ordinary exponential function. This model presents a Markovian diffusive regime that is characterized by finite memory correlations. It is well known, that central limit theorems prohibit superdiffusion for Markovian walks with finite variance of step sizes. In this problem we report the outcome of a transient superdiffusion for finite sized walks.

Keywords: Random walk; Anomalous diffusion; q-exponential function; Non-Markovian (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:453:y:2016:i:c:p:259-263

DOI: 10.1016/j.physa.2016.02.005

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