Abstract
We classify the interactions between self-propelled particles moving at a constant speed from symmetry considerations. We establish a systematic expansion for the two-body forces in the spirit of a multipolar expansion. This formulation makes it possible to rationalize most of the models introduced so far within a common framework. We distinguish between three classes of physical interactions: i) potential forces, ii) inelastic collisions and iii) non-reciprocal interactions involving polar or nematic alignment with an induced field. This framework provides simple design rules for the modeling and the fabrication of self-propelled bodies interacting via physical interactions. A class of possible interactions that should yield new phases of active matter is highlighted.
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Caussin, JB., Bartolo, D. Tailoring the interactions between self-propelled bodies. Eur. Phys. J. E 37, 55 (2014). https://doi.org/10.1140/epje/i2014-14055-8
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DOI: https://doi.org/10.1140/epje/i2014-14055-8