Transporting objects only by collision with group robots

A scheme of microscopic Brownian motion is applied to macroscopic transportation systems by group of robots. Continuum mechanical picture of group robots so far developed by the author is extended to systems with energy dissipation. Taking Hamiltonian with specified exponential function of time allows us to deal with friction appearing in motion of robots by canonical equation. Rubbing of robots against floor where they moves around is representd as proportional to velocity of each robot. In applying movement of group robots to transportation systems, we give methods how to explicitly calculate force between robots and the object that is to be transported. We make practical use of the formula of the force in simulation studies. Three combinations of the proportionality constants for velocity of robots and that of objects are set to simulate how to move the object in the transportation systems. Physically adequate results that the small/large frictional coefficient values lead to good/bad transportation characteristics are brought. Comparison of our results based on continuum picture of robots with those by Newtonian mechanics for robots and objects leads to good agreement.