Transient superdiffusion in correlated diffusive media

Jacopo Bertolotti

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arXiv · 1408.0621

Transient superdiffusion in correlated diffusive media

Jacopo Bertolotti

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Abstract

Diffusion processes are studied theoretically for the case where the diffusion coefficient is itself a time and position dependent random function. We investigate how inhomogeneities and fluctuations of the diffusion coefficient affect the transport using a perturbative approach, with a special attention to the time scaling of the second moment. We show that correlated disorder can lead to anomalous transport and superdiffusion.

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Jacopo Bertolotti. 2014-08-04. Transient superdiffusion in correlated diffusive media. https://arxiv.org/abs/1408.0621

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