2004/01/28 by Ch. Forster, Ch. Förster, David Mukamel +3 · 1 citation
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Boundary (topology) #Channel (broadcasting) #Collision #Computer science #Exponent #High-pressure geophysics and materials #Lyapunov exponent #Mathematical analysis #Mathematics #Mechanics #Nonlinear system #Phase Equilibria and Thermodynamics #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Singularity #Statistical physics #Telecommunications #Virial theorem #cond-mat.stat-mech #nlin.CD
paper · pdf · doi:10.1103/physreve.69.066124
arxiv created 2004/01/28 · openalex publication_date 2004/06/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The thermodynamic and dynamical behavior of a gas of hard disks in a narrow channel is studied theoretically and numerically. Using a virial expansion, we find that the pressure and collision frequency curves exhibit a singularity at a channel width corresponding to twice the disk diameter. As expected, the maximum Lyapunov exponent is also found to display a similar behavior. At high density, these curves are dominated by solidlike configurations which are different from the bulk ones, due to the channel boundary conditions.