In the course of a nonequilibrium continuous phase transition, the dynamics ceases to be
adiabatic in the vicinity of the critical point as a result of the critical slowing down (the …

Phase transitions are ubiquitous in nature, and can be arranged into universality classes
such that systems having unrelated microscopic physics show identical scaling behaviour …

Near a critical point, the equilibrium relaxation time of a system diverges and any change of
control/thermodynamic parameters leads to nonequilibrium behavior. The Kibble-Zurek …

This work reports new exact solutions for domain-wall (DW) states produced by a system of
coupled real Ginzburg-Landau (GL) equations which model patterns in thermal convection …

We consider the number distribution of topological defects resulting from the finite-time
crossing of a continuous phase transition and identify signatures of universality beyond the …

The Kibble-Zurek mechanism describes the formation of topological defects in systems
crossing a continuous symmetry-breaking phase transition at a finite quench rate. While this …

Abstract The Kibble–Zurek mechanism (KZM) describes the dynamics across a phase
transition leading to the formation of topological defects, such as vortices in superfluids and …

We investigate the topological defect populations for superconducting vortices and magnetic
skyrmions on random pinning substrates under driving amplitudes that are swept at different …

We show that the Kibble-Zurek mechanism applies to nonequilibrium phase transitions
found in driven assemblies of superconducting vortices and colloids moving over quenched …

In a scenario of spontaneous symmetry breaking in finite time, topological defects are
generated at a density that scales with the driving time according to the Kibble-Zurek …