STRESS FROM LONG-RANGE INTERACTIONS IN PARTICULATE SYSTEMS

In particulate systems, the ensemble average accounting for effects from all particles is expressed as the expected value related to the nearest particle probability. Using this expression, a stress is defined even for long-range particle interactions without the divergence difficulty because of the rapid far field decay of the probability. Similar to the potential part of the virial stress in molecular systems, this stress represents particle-particle interactions through the surrounding field. As examples, the stresses are calculated for systems of charged particles and disperse multiphase flows.