Repeated projective measurements in unitary circuits can lead to an entanglement phase
transition as the measurement rate is tuned. In this work, we consider a different setting in …

Cellular populations assume an incredible variety of shapes ranging from circular molds to
irregular tumors. While we understand many of the mechanisms responsible for these …

We integrate numerically the Kardar-Parisi-Zhang (KPZ) equation in 1+ 1 and 2+ 1
dimensions using a Euler discretization scheme and the replacement of (∇ h) 2 by …

We study the kinetic roughening of the single-step (SS) growth model with a tunable
parameter p in 1+ 1 and 2+ 1 dimensions by performing extensive numerical simulations …

The far-from-equilibrium alkaline dissolution of initially flat and defect-free calcite surfaces is
modeled with kinetic Monte Carlo simulations of site detachment from a Kossel crystal and …

The deterministic KPZ equation has been recently formulated as a gradient flow. Its non-
equilibrium analog of a free energy—the “non-equilibrium potential” Φ [h], providing at each …

Fluctuations of interfaces produced by lattice growth models scale as those of stochastic
equations at distances r much larger than the lattice constant a. However, those equations …

We discuss a parameter-free scaling relation that yields a complete data collapse for large
classes of nonequilibrium growth processes. We illustrate the power of this scaling relation …

To construct continuum stochastic growth equations for competitive nonequilibrium surface-
growth processes of the type RD+ X that mixes random deposition (RD) with a correlated …

We analyze in detail the solid-on-solid (SOS) model for growth processes on a square
substrate in 2+ 1 dimensions. By using the Markovian surface properties, we introduce an …