Discontinuous and continuous transitions of collective behaviors in living systems*

Living systems are full of astonishing diversity and complexity life. Despite differences in the length scales cognitive abilities these systems, collective motion large groups individuals can emerge. It is great importance to seek for fundamental principles motion, such as phase transitions their natures. Via an eigen microstate approach, we have found a discontinuous transition density continuous velocity Vicsek models which identified by finite-size scaling form order-parameter. At strong noise, living behave like gas. With decrease interactions between particles system become stronger make them come closer. The experiences then gas–liquid density. even at smaller noise directions ordered there addition.