Soft disks in a narrow channel

Author(s)
D Mukamel, Harald Posch
Abstract

The pressure components of `soft' disks in a two-dimensional narrow channel are analyzed in the dilute gas regime using the Mayer cluster expansion and molecular dynamics. Channels with either periodic or reflecting boundaries are considered. It is found that when the two-body potential, u(r), is singular at some distance r0, the dependence of the pressure components on the channel width exhibits a singularity at one or more channel widths which are simply related to r0. In channels with periodic boundary conditions and for potentials which are discontinuous at r0, the transverse and longitudinal pressure components exhibit a 1/2 and a 3/2 singularity, respectively. Continuous potentials with a power-law singularity result in weaker singularities of the pressure components. For channels with reflecting boundary conditions the singularities are found to be weaker than those corresponding to periodic boundaries.

Organisation(s)
Computational and Soft Matter Physics
External organisation(s)
Weizmann Institute of Science
Journal
Journal of Statistical Mechanics: Theory and Experiment
Volume
2009
No. of pages
25
DOI
https://doi.org/10.1088/1742-5468/2009/03/P03014
Publication date
2009
Peer reviewed
Yes
Austrian Fields of Science 2012
1030 Physics, Astronomy
Portal url
https://ucrisportal.univie.ac.at/en/publications/7014b68c-4b33-4670-9501-2c5ec999ff97