The renormalization group is a key set of ideas and quantitative tools of statistical physics
that allow for the calculation of universal quantities that encompass the behaviour of different …

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 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 …

We investigate a two-dimensional system of active particles confined to a narrow annular
domain. Despite the absence of explicit interactions among the velocities or the active forces …

Retardation between sensation and action is an inherent biological trait. Here we study its
effect in the Vicsek model, which is a paradigmatic swarm model. We find that (1) a discrete …

We investigate the effects of density fluctuations on the near-ordering phase of a flock by
studying the Malthusian Toner–Tu theory. Because of the birth/death process, characteristic …

We investigate a two-dimensional system of interacting active Brownian particles. Using the
Martin-Siggia-Rose-Janssen-de Dominicis formalism, we built up the generating functional …

The harmonically confined Vicsek model displays qualitative and quantitative features
observed in natural insect swarms. It exhibits a scale-free transition between single and …

The recent inflow of empirical data about the collective behaviour of strongly correlated
biological systems has brought field theory and the renormalization group into the …

The renormalization group is a key set of ideas and quantitative tools of statistical physics
that allow for the calculation of quantities that encompass the collective behaviour of …