Abstract:
We show that strong anomalous diffusion, i.e. where is a nonlinear function of q, is a generic phenomenon within a class of generalized continuous-time random walks. For such class of systems it is possible to compute analytically where n is an integer number. The presence of strong anomalous diffusion implies that the data collapse of the probability density function cannot hold, a part (sometimes) in the limit of very small , now . Moreover the comparison with previous numerical results shows that the shape of is not universal, i.e., one can have systems with the same but different F.
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Received 14 April 2000
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Andersen, K., Castiglione, P., Mazzino, A. et al. Simple stochastic models showing strong anomalous diffusion. Eur. Phys. J. B 18, 447–452 (2000). https://doi.org/10.1007/s100510070032
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DOI: https://doi.org/10.1007/s100510070032