Active systems are driven out of equilibrium by exchanging energy and momentum with their
environment. This endows them with anomalous mechanical properties that are reviewed in …

Many complex fluids can be described by continuum hydrodynamic field equations, to which
noise must be added in order to capture thermal fluctuations. In almost all cases, the …

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 …

We explore the relation between active Brownian particles, a minimal particle-based model
for active matter, and scalar field theories. Both show a liquid-gas-like phase transition …

Active matter systems are inherently out of equilibrium and break the detailed balance (DB)
at the microscopic scale, exhibiting vital collective phenomena such as motility-induced …

Using the path integral representation of the nonequilibrium dynamics, we compute the most
probable path between arbitrary starting and final points that is followed by an active particle …

Flocking in d= 2 is a genuine nonequilibrium phenomenon for which irreversibility is an
essential ingredient. We study a class of minimal flocking models whose only source of …

Within the Landau-Ginzburg picture of phase transitions, scalar field theories develop phase
separation because of a spontaneous symmetry-breaking mechanism. This picture works in …

In equilibrium, the Mermin-Wagner theorem prohibits the continuous symmetry breaking for
all dimensions d≤ 2. In this work, we discuss that this limitation can be circumvented in …

We derive a version of the so-called “best Fokker-Planck approximation”(BFPA) to describe
the spatial properties of interacting active Ornstein-Uhlenbeck particles in arbitrary spatial …