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Many-body problem is a common issue no matter which scale of entities we are dealing
with. From electrons to atoms, small molecules like inorganic or organic of simple structures …

Swarmalators are phase oscillators that cluster in space, like fireflies flashing in a swarm to
attract mates. Interactions between particles, which tend to synchronize their phases and …

Living many-body systems often exhibit scale-free collective behavior reminiscent of thermal
critical phenomena. But their mutual interactions are inevitably retarded due to information …

The Vicsek simulation model of flocking together with its theoretical treatment by Toner and
Tu in 1995 were two foundational cornerstones of active matter physics. However, despite …

We study fluctuating field models with spontaneously emerging dynamical phases. We
consider two typical transition scenarios associated with parity-time symmetry breaking …

The Vicsek model encompasses the paradigm of active dry matter. Motivated by collective
behavior of insects in swarms, we have studied finite-size effects and criticality in the three …

While the role of local interactions in nonequilibrium phase transitions is well studied, a
fundamental understanding of the effects of long-range interactions is lacking. We study the …

Active matter is not only relevant to living matter and diverse nonequilibrium systems, but
also constitutes a fertile ground for novel physics. Indeed, dynamic renormalization group …

The discrete time Vicsek model confined by a harmonic potential explains many aspects of
swarm formation in insects. We have found exact solutions of this model without alignment …