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Article overview
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Reaction Spreading in Systems With Anomalous Diffusion | | Fabio Cecconi
; Davide Vergni
; Angelo Vulpiani
; | | Date: |
5 Sep 2016 | | Abstract: | We briefly review some aspects of the anomalous diffusion, and its relevance
in reactive systems. In particular we consider {it strong anomalous} diffusion
characterized by the moment behaviour $langle x(t)^q
angle sim t^{q
u(q)}$, where $
u(q)$ is a non constant function, and we discuss its
consequences. Even in the apparently simple case $
u(2)=1/2$, strong anomalous
diffusion may correspond to non trivial features, such as non Gaussian
probability distribution and peculiar scaling of large order moments.
When a reactive term is added to a normal diffusion process, one has a
propagating front with a constant velocity. The presence of anomalous diffusion
by itself does not guarantee a changing in the front propagation scenario; a
key factor to select linear in time or faster front propagation has been
identified in the shape of the probability distribution tail in absence of
reaction. In addition, we discuss the reaction spreading on graphs, underlying
the major role of the connectivity properties of these structures,
characterized by the {em connectivity dimension} | | Source: | arXiv, 1609.1173 | | Services: | Forum | Review | PDF | Favorites | |
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