Active matter physics is about systems in which energy is dissipated at some local level to
produce work. This is a generic situation, particularly in the living world but not only. What is …

These lecture notes are designed to provide a brief introduction into the phenomenology of
active matter and to present some of the analytical tools used to rationalize the emergent …

Combining model experiments and theory, we investigate the dense phases of polar active
matter beyond the conventional flocking picture. We show that above a critical density flocks …

Active systems on curved geometries are ubiquitous in the living world. In the presence of
curvature, orientationally ordered polar flocks are forced to be inhomogeneous, often …

We introduce lattice gas models of active matter systems whose coarse-grained
“hydrodynamic” description can be derived exactly. We illustrate our approach by …

We study the role of noise on the nature of the transition to collective motion in dry active
matter. Starting from field theories that predict a continuous transition at the deterministic …

We study the effect of spatial anisotropy on polar flocks by investigating active q-state clock
models in two dimensions. In contrast to the equilibrium case, we find that any amount of …

We consider the two-species Vicsek model (TSVM) consisting of two kinds of self-propelled
particles, A and B, that tend to align with particles from the same species and to antialign …

We study the one-dimensional active Ising model in which aligning particles undergo
diffusion biased by the signs of their spins. The phase diagram obtained varying the density …

Flocking models with metric and topological interactions are supposed to exhibit distinct
features, as for instance the presence and absence of moving polar bands. On the other …