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 …

We study the statistical properties of active Ornstein-Uhlenbeck particles (AOUPs). In this
simplest of models, the Gaussian white noise of overdamped Brownian colloids is replaced …

We perform large-scale computer simulations of an off-lattice two-dimensional model of
active particles undergoing a motility-induced phase separation (MIPS) to investigate the …

A collection of self-propelled particles with volume exclusion interactions can exhibit the
phenomenology of a gas-liquid phase separation, known as motility-induced phase …

Phase transitions, such as the freezing of water and the magnetisation of a ferromagnet
upon lowering the ambient temperature, are familiar physical phenomena. Interestingly …

We use a continuum model to examine the effect of activity on a phase-separating mixture of
an extensile active nematic and a passive fluid. We highlight the distinct role of (i) previously …

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 …

In phase-separated active fluids, the Ostwald process can go into reverse, leading to either
microphase separation or bubbly phase separation. We show that the latter is formed of two …

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 …

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 …