Lack of anomalous diffusion in linear translationally-invariant systems determined by only one initial condition

Details Lack of anomalous diffusion in linear translationally-invariant systems determined by only one initial condition Lack of anomalous diffusion in linear translationally-invariant systems determined by only one initial condition

2012-01-23

arxiv.org/abs/1201.4712v1

Physics Letters A 376 (2012) 687--691

Physics

Mathematical Physics

LaTex file, no fig

Scientific paper

10.1016/j.physleta.2011.10.076

It is shown that as far as the linear diffusion equation meets both time- and
space- translational invariance, the time dependence of a moment of degree
$\alpha$ is a polynomial of degree at most equal to $\alpha$, while all
connected moments are at most linear functions of time. As a special case, the
variance is an at most linear function of time.

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