Optimizing layout of group robots by phase transition

Phase transition taken place in systems of robots with velocity-velocity interaction is examined. Transportation system by group robots has been proposed so far where external field that acts only on robots indirectly move objects set in the system. When all robots moved in a specified direction, their task of transportation would become more efficient. In this paper, we show that in some specified conditions such an “ordered phase” actually occurs. We introduce velocity velocity interaction and repulsion/attraction potential energy. Velocity dependence in equation of motion is dealt with canonical formalism. Simulation studies are done by method of molecular dynamics. As a first stage, objects and external field are not included in the model.