Biological systems are highly complex, yet notably ordered structures can emerge. During
syncytial stage development of the Drosophila melanogaster embryo, nuclei synchronously …

By introducing a simple competition mechanism for bond insertion in random graphs,
explosive percolation exhibits a sharp phase transition with rich critical phenomena. We …

In this Letter, we introduce a three-state majority vote model in which each voter adopts a
state of a majority of its active neighbors, if exist, but the voter becomes uncommitted if its …

After a sudden quench from the disordered high-temperature T 0→∞ phase to a final
temperature well below the critical point TF≪ T c, the nonconserved order parameter …

Only recently has the essential role of the percolation critical point been considered on the
dynamical properties of connected regions of aligned spins (domains) after a sudden …

Biological systems are a form of active matter, which often undergo rapid changes in their
material state, eg. liquid to solid transitions. Yet, such systems often also display remarkably …

The size and shape of the region affected by an outbreak is relevant to understand the
dynamics of a disease and help to organize future actions to mitigate similar events. A …

A measure of cluster size heterogeneity (H), introduced by Lee et al.[Phys. Rev. E 84,
020101 (2011) 10.1103/PhysRevE. 84.020101] in the context of explosive percolation, was …

The statistical mechanics method is developed for determination of generating function of
like-sign spin clusters' size distribution in Ising model as modification of Ising–Potts model by …

The percolation of Potts spins with equal values in Potts model on graphs (networks) is
considered. The general method for finding the Potts clusters' size distributions is …