Rectification and Non-Gaussian Diffusion in Heterogeneous Media
AbstractWe 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. View Full-Text
Share & Cite This Article
Malgaretti, P.; Pagonabarraga, I.; Rubi, J.M. Rectification and Non-Gaussian Diffusion in Heterogeneous Media. Entropy 2016, 18, 394.
Malgaretti P, Pagonabarraga I, Rubi JM. Rectification and Non-Gaussian Diffusion in Heterogeneous Media. Entropy. 2016; 18(11):394.Chicago/Turabian Style
Malgaretti, Paolo; Pagonabarraga, Ignacio; Rubi, J. M. 2016. "Rectification and Non-Gaussian Diffusion in Heterogeneous Media." Entropy 18, no. 11: 394.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.