Onset of diffusive behavior in confined transport systems

Jepps, Owen G., Bianca, Carlo and Rondoni, Lamberto (2008) Onset of diffusive behavior in confined transport systems. Chaos, 18 1: 013127-1-013127-13. doi:10.1063/1.2888759


Author Jepps, Owen G.
Bianca, Carlo
Rondoni, Lamberto
Title Onset of diffusive behavior in confined transport systems
Journal name Chaos   Check publisher's open access policy
ISSN 1054-1500
1089-7682
1527-2443
Publication date 2008-03
Sub-type Article (original research)
DOI 10.1063/1.2888759
Volume 18
Issue 1
Start page 013127-1
End page 013127-13
Total pages 13
Place of publication College Park, MD, U.S.A.
Publisher American Institute of Physics
Language eng
Formatted abstract
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.
Keyword Anomalous diffusion
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Medicine Publications
 
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Citation counts: TR Web of Science Citation Count  Cited 18 times in Thomson Reuters Web of Science Article | Citations
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Created: Thu, 03 Sep 2009, 10:18:13 EST by Mr Andrew Martlew on behalf of Medicine - Princess Alexandra Hospital