Inspiring Research Papers

The title of this blog entry can purposely be read in multiple manners.

In this case, I am referring to an article published earlier this year that apparently drew some inspiration from one of my 2006 articles.

At any rate, this is the only article of which I am aware that cites one of my papers in its abstract, so I figure I should highlight it in this spot. I found out about the paper a while back, but I am only blogging out about it belatedly because I don't have anything particularly interesting to blog about today and it's been a few days since I posted anything. (Things have been quite hectic the last few days.)

The paper's title is: Onset of diffusive behavior in confined transport system

The authors are: Owen G. Jepps, Carlo Bianca, and Lamberto Rondoni

The abstract is: We investigate the onset of diffusive behavior in polygonal channels for disks of finite size, modeling simple microporous membranes. It is well established that the point-particle case displays anomalous transport, because of slow correlation decay in the absence of defocusing collisions. We investigate which features of point-particle transport survive in the case of finite-sized particles (which undergo defocusing collisions). A similar question was investigated by Lansel, Porter, and Bunimovich [Chaos 16, 013129 (2006)], who found that certain integrals of motion and multiple ergodic components, characteristic of the point-particle case, remain in “mushroom”-like systems with few finite-sized particles. We quantify the time scales over which the transport of disks shows features typical of the point particles, or is driven toward diffusive behavior. In particular, we find that interparticle collisions drive the system toward diffusive behavior more strongly than defocusing boundary collisions. We illustrate how, and at what stage, typical thermodynamic behavior (consistent with kinetic theory) is observed, as particle numbers grow and mean free paths diminish. These results have both applied (e.g., nanotechnological) and theoretical interest.