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Studying systems where many individual bodies in motion interact with oneanother is a complex and interesting area. Simple mechanisms that may bedetermined for biological, chemical, or physical reasons can lead toastonishingly complex results that require a further understanding of themoving bodies. With the increasing interaction between computation and variousscientific areas, it has become more useful, feasible, and important to createmodels for these systems. Here, we present two families of models,deterministic and nondeterministic, along with three distinct and realisticinteraction mechanisms. These are combined in a unique way to provide thegroundwork for particle system models across multiple disciplines. This workhas applications that range from biology to chemistry and physics. In additionto describing the motivations and math behind all the models, software isprovided that allows researchers to quickly adjust and implement what isdescribed here.

Deterministic and Nondeterministic Particle Motion with Interaction Mechanisms