In this review, we discuss recent developments in the theoretical models of self-propelled particles. We first summarize simple models, including active Brownian particles (ABPs), squirmers, and Janus particles (self-phoretic swimmers).… Click to show full abstract
In this review, we discuss recent developments in the theoretical models of self-propelled particles. We first summarize simple models, including active Brownian particles (ABPs), squirmers, and Janus particles (self-phoretic swimmers). We then consider the extension of these models in order to demonstrate the symmetry-breaking mechanism of the motion. Finally, we investigate the emergence of the rich collective behaviors of these models.
               
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