Criticality is the singular state of complex systems poised at the brink of a phase transition
between order and randomness. Such systems display remarkable information-processing …

A celebrated and controversial hypothesis suggests that some biological systems—parts,
aspects, or groups of them—may extract important functional benefits from operating at the …

Many fish species gather by the thousands and swim in harmony with seemingly no effort.
Large schools display a range of impressive collective behaviors, from simple shoaling to …

Over the past two decades percolation theory has been used to explain and model a wide
variety of phenomena that are of industrial and scientific importance. Examples include …

Active crystals are highly ordered structures that emerge from the self-organization of motile
objects, and have been widely studied in synthetic, and bacterial, active matter. Whether …

Complex systems research is becoming ever more important in both the natural and social
sciences. It is commonly implied that there is such a thing as a complex system, different …

We establish the complete phase diagram of self-propelled hard disks in two spatial
dimensions from the analysis of the equation of state and the statistics of local order …

Brain-wide circuits that coordinate affective and social behaviours intersect in the amygdala.
Consequently, amygdala lesions cause a heterogeneous array of social and non-social …

Inverse problems in statistical physics are motivated by the challenges of 'big data'in
different fields, in particular high-throughput experiments in biology. In inverse problems, the …

Synchronization occurs in many natural and technological systems, from cardiac pacemaker
cells to coupled lasers. In the synchronized state, the individual cells or lasers coordinate the …