A comprehensive review of spatiotemporal pattern formation in systems driven away from
equilibrium is presented, with emphasis on comparisons between theory and quantitative …

Localized structures (LSs) in dissipative media appear in various fields of natural science
such as biology, chemistry, plant ecology, optics and laser physics. The proposal for this …

Self-sustained dynamical phases of living matter can exhibit remarkable similarities over a
wide range of scales, from mesoscopic vortex structures in microbial suspensions and …

Spatial branching processes are ubiquitous in nature, yet the mechanisms that drive their
growth may vary significantly from one system to another. In soft matter physics, chiral …

We study time-reversal symmetry breaking in non-Hermitian fluctuating field theories with
conserved dynamics, comprising the mesoscopic descriptions of a wide range of …

Analytical and computational studies of reacting flows are extremely challenging due in part
to nonlinearities of the underlying system of equations and long-range coupling mediated by …

Fairy circles consist of isolated or randomly distributed circular areas devoid of any
vegetation. They are observed in vast territories in southern Angola, Namibia and South …

We investigate the formation of localized structures with varying widths in one-and two-
dimensional systems. The mechanism of stabilization is attributed to strongly nonlocal …

The active phase-field-crystal (active PFC) model provides a simple microscopic mean field
description of crystallization in active systems. It combines the PFC model (or conserved …

Classical turbulence theory assumes that energy transport in a 3D turbulent flow proceeds
through a Richardson cascade whereby larger vortices successively decay into smaller …