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- Title
Rectification and Non-Gaussian Diffusion in Heterogeneous Media.
- Authors
Malgaretti, Paolo; Pagonabarraga, Ignacio; Rubi, J. Miguel
- Abstract
We show that when Brownian motion takes place in a heterogeneous medium, the presence of local forces and transport coefficients leads to deviations from a Gaussian probability distribution that make that the ratio between forward and backward probabilities depend on the nature of the host medium, on local forces, and also on time. We have applied our results to two situations: diffusion in a disordered medium, and diffusion in a confined system. For such scenarios, we have shown that our theoretical predictions are in very good agreement with numerical results. Moreover, we have shown that the deviations from the Gaussian solution lead to the onset of rectification. Our predictions could be used to detect the presence of local forces and to characterize the intrinsic short-scale properties of the host medium--a problem of current interest in the study of micro- and nano-systems.
- Subjects
GAUSSIAN distribution; BROWNIAN motion; PROBABILITY measures; DIFFUSION measurements; EQUILIBRIUM reactions; MATHEMATICAL models
- Publication
Entropy, 2016, Vol 18, Issue 11, p394
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e18110394