Exact equilibrium statistical mechanics of two particles interacting via Lennard-Jones and Morse potentials.
The exact classical statistical phase-space volume is obtained for a finite system consisting of two particles interacting via both Lennard-Jones and Morse potentials and confined in a spherical volume. The case when the center of mass of the system is fixed at the center of the sphere is also considered. It is shown that the microcanonical caloric curve of the system can have properties similar to those of large clusters, and the equation of state of the system can have behavior similar to that of bulk systems. It is also shown that the fixing of the center of mass of the system can appreciably change the properties of the microcanonical caloric curve and the equation of state of the system.
Umirzakov
I H
IH
Institute of Thermophysics, Novosibirsk 630090, Russia.