Statistical mechanics of two hard disks in a rectangular box.
A system of two hard disks in a rectangular box is studied based on the exact partition function and equilibrium distribution functions of particles. Box-size dependence of some quantities of interest, such as pressure and the particle distribution functions, is investigated and in particular the negative compressibility of the van der Waals type and the corresponding phase transition are analyzed in detail. This system turns out to have rich structures that are related to the ergode-nonergode transitions in this system.
Department of Applied Mathematics and Physics, Kyoto University, Kyoto 606, Japan.
Toyonori
T
Munakata
Gang
G
Hu