Microscopic Energy Current Field with Multi--body Force in Hamiltonian System

Microscopic energy current can be derived from microscopic energy field localized only in particle positions. If the energy current is applied to classical molecular dynamics, it is expected to become a new information. However, multi-body force except two-body force causes obscurity when multi-body interaction energy is localized. In the present study, our new method enables to determine the localization of the multi--body interaction energy. We obtain the energy current between particles by the law of the multi--body force corresponding to Newton's third law on two--body force.