There are various reports about the critical exponents associated with the depinning
transition. In this study, we investigate how the disorder strength present in the support can …

We study the pinning-depinning transition of the Edwards-Wilkinson equation with
quenched noise. We introduce a discrete growth model following the equation and …

The quenched Edwards-Wilkinson growth of the 1+ 1 interface is considered in the
background of the correlated random noise. We use random Coulomb potential as the …

A beautifully simple model introduced a couple of decades ago, Toom's cellular automaton,
revealed that non-equilibrium systems may exhibit generic bistability, ie two-phase …

We study the pinning-depinning transition of the Kardar-Parisi-Zhang equation with
quenched noise. We integrate the equation numerically and apply the finite-size scaling …

We report radial imbibition of water in a porous medium in a Hele–Shaw cell, including
forced imbibition and spontaneous imbibition. Washburn's law is confirmed in our …

We study the depinning transition of the quenched Mullins-Herring equation by direct
integration method. At critical force F c, the average surface velocity v (t) follows a power-law …

Driven elastic manifolds in random media exhibit a depinning transition to a state with
nonvanishing velocity at a critical driving force. We study the depinning of stiff directed lines …

We investigate the influence of quenched disorder on the steady states of driven systems of
the elastic interface with nonlocal hydrodynamic interactions. The generalized elastic model …

The pinning-depinning phase transitions of interfaces for two classes of discrete elastic-
string models are investigated numerically. In the (1+ 1)-dimensions, we revisit these two …