Violation of the Equipartition Theorem for Thermally Insulated Clusters of Atoms with Different Masses

Abstract

An expression is derived for calculating microcanonical-ensemble averages of the kinetic energies of atoms of different types in clusters isolated from the environment. This expression is a natural generalization of the solution to the problem of hard spheres with different masses to a system with a many-particle interatomic interaction potential. The dynamics of a C8H8 cubane is simulated numerically. The data on the numerical simulation confirm the validity of the results obtained.