Title
Phase transition in a mesoscopic ring with multiple diffusive channels.
Abstract
This paper studies a periodic one-dimensional exclusion process constituted by multiple diffusive channels and a common driven part. We have performed mean field analysis for the phase diagram, the density profiles, and the currents, which is in good agreement with the Monte Carlo simulations. In particular, in the special case that the diffusive channels are identical, the phase boundaries have been derived explicitly. It is shown that, in the driven part, the low density–high density region and the low density region shrink and will finally vanish with the increase of the number of diffusive channels. On the other hand, the high density region and the low density–high density region vanish if the total number of particles keeps constant. Numerical examples indicate that these features might be extended to a general case in which the diffusive channels are not identical.
Year
DOI
Venue
2014
10.1016/j.cpc.2014.06.020
Computer Physics Communications
Keywords
Field
DocType
Driven diffusive systems,Exclusion process,Phase transition
Particle number,Monte Carlo method,Phase transition,Mesoscopic physics,Communication channel,Phase diagram,Periodic graph (geometry),Condensed matter physics,Mathematics,Low density
Journal
Volume
Issue
ISSN
185
11
0010-4655
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Yu-Qing Wang100.34
Rui Jiang22210.14
Mao-Bin Hu318713.00
Qing-Song Wu400.34