In this paper we investigate some statistical mechanical properties of systems consisting of two hard disks in a circular cavity and two hard spheres in a cylindrical pore. Both systems conserve not only the total energy but the total angular momentum, and this conservation affects thermodynamic quantities such as the temperature and pressure of these systems. We show the dependence of the thermodynamic quantities of these systems on conserved quantities with a statistical mechanical treatment and molecular dynamics simulations.

• Received 27 July 2007

DOI:https://doi.org/10.1103/PhysRevE.76.061111