It has become a standard approach to analyze such systems with the Vicsek model in discrete time or its time continuous counterpart often referred to as an active Brownian particle model. Models of this type have been extensively analyzed and a number of spatially nonhomogeneous structures like large scale traveling bands or irregular high density clouds have been reported. However, these phenomena are mostly known for linear swimmers. Recently, we have presented a chiral active matter model that exhibits a large variety of qualitatively similar spatially nonhomogeneous regimes but for particles that perform circular motion. This project would concentrate on the investigation of the properties of each of the reported patterns, which includes particle-based modeling and continuum-based theory, i.e., with the number of particles going to infinity. The project also includes the study of the related phase transitions between spatially nonhomogeneous as well as homogeneous motion.
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