Boltzmann distribution model for controlling macroscopic swarm robots

We show that a distribution over energy of not many robots(in this article N = 4) takes Boltzmann distribution by repetitive collision among them. This is firstly examined by a toy model of exchanging chips among not many agents. After that molecular dynamical simulation helps us to give Boltzmann distribution in a real system of robots and object. How to calculate temperature parameter in the above Boltzmann distribution is shown. Hamilton-Jacobi theories helps how to treat general type of friction.