Abstract
We investigate the stability of a homogeneous state of self-propelled particles based on a microscopic dynamical model in which particles obey Newton's equations of motion. We do not suppose any specific distance dependence for the interaction among particles. The stability is investigated for two typical angular dependences of the interaction, one of which includes an isotropic interaction. It is found that the effect of angular dependence on the stability is small except for the isotropic interaction. The result indicates that another interaction is necessary to stabilize the homogeneous state.
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