2008/12/19 by David Mukamel, D. Mukamel, Harald A. Posch +1
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Boundary (topology) #Boundary value problem #Channel (broadcasting) #Classical mechanics #Geometry #Gravitational singularity #Material Dynamics and Properties #Mathematical analysis #Mathematics #Mechanics #Periodic boundary conditions #Phase Equilibria and Thermodynamics #Physics #Power law #Quantum mechanics #Quantum, superfluid, helium dynamics #Singularity #Telecommunications #Transverse plane #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/2009/03/p03014
arxiv created 2008/12/19 · openalex publication_date 2009/03/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 r 0 , the dependence of the pressure components on the channel width exhibits a singularity at one or more channel widths which are simply related to r 0 . In channels with periodic boundary conditions and for potentials which are discontinuous at r 0 , 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.