Monte Carlo Evaluation of FADE Approach to Anomalous Kinetics - arXiv

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Monte Carlo Evaluation of FADE Approach to Anomalous Kinetics M. Marseguerra 1, A. Zoia2 Department of Nuclear Engineering, Polytechnic of Milan, Via Ponzio 34/3, 20133 Milan, Italy

Abstract In a wide range of transport phenomena in complex systems, the mean squared displacement of a particles plume has been often found to follow a nonlinear relationship of the kind x 2 (t ) ∝ t α , where α may be greater or smaller than 1: these evidences have been described under the generic term of anomalous diffusion. In this paper we focus on subdiffusion, i.e. the case 0