Extracting physical observables using macroscopic ensemble in the spex-mixer/mill simulation

A technique to simulate the spex-mixer/mill system as a macroscopic ensemble rather than a pure dynamical system is proposed. The treatment is suitable especially for comminution processes generating the nanomaterial up to nanometers scale where the geometrical displacements are unobservable. It is argued that the method is simple and experimentally verifiable since relevant physical observables can be extracted using partition function without solving the equation of motions.