Next Article in Journal
Kernel Density Estimation on the Siegel Space with an Application to Radar Processing
Next Article in Special Issue
Nonlinear Relaxation Phenomena in Metastable Condensed Matter Systems
Previous Article in Journal
Unextendible Mutually Unbiased Bases (after Mandayam, Bandyopadhyay, Grassl and Wootters)
Article Menu
Issue 11 (November) cover image

Export Article

Open AccessArticle
Entropy 2016, 18(11), 394; doi:10.3390/e18110394

Rectification and Non-Gaussian Diffusion in Heterogeneous Media

1
Max-Planck-Institut für Intelligente Systeme, Heisenbergstr. 3, Stuttgart D-70569, Germany
2
IV. Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57, Stuttgart D-70569, Germany
3
Departament de Fìsica Fonamental, Universitat de Barcelona, Carrer Marti i Franques 1, Barcelona 08001, Spain
*
Author to whom correspondence should be addressed.
Academic Editor: Antonio M. Scarfone
Received: 6 October 2016 / Revised: 2 November 2016 / Accepted: 7 November 2016 / Published: 11 November 2016
(This article belongs to the Special Issue Nonequilibrium Phenomena in Confined Systems)
View Full-Text   |   Download PDF [454 KB, uploaded 11 November 2016]   |  

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. View Full-Text
Keywords: rectification; entropic barrier; heterogeneous media rectification; entropic barrier; heterogeneous media
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Malgaretti, P.; Pagonabarraga, I.; Rubi, J.M. Rectification and Non-Gaussian Diffusion in Heterogeneous Media. Entropy 2016, 18, 394.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top