The one-dimensional Kardar-Parisi-Zhang (KPZ) equation is becoming an overarching
paradigm for the scaling of nonequilibrium, spatially extended, classical and quantum …

The stochastic nonlinear partial differential equation known as the Kardar–Parisi–Zhang
(KPZ) equation is a highly successful phenomenological mesoscopic model of surface and …

Height-fluctuation distributions of nonequilibrium interfaces were analyzed using slow-
combustion fronts propagating in sheets of paper. All distributions measured were definitely …

Recently, a variational approach has been introduced for the paradigmatic Kardar–Parisi–
Zhang (KPZ) equation. Here we review that approach, together with the functional Taylor …

In order to perform numerical simulations of the Kardar-Parisi-Zhang (KPZ) equation, in any
dimensionality, a spatial discretization scheme must be prescribed. The known fact that the …

Strong constraints are drawn for the choice of real-space discretization schemes, using the
known fact that the KPZ equation results from a diffusion equation (with multiplicative noise) …

By detailed analytical treatment of the shock dynamics in the Burgers turbulence with large
scale forcing we calculate the velocity structure functions between pairs of points displaced …

The Kardar-Parisi-Zhang (KPZ) equation is a paradigm of generic scale invariance, for
which it represents a conspicuous universality class. Recently, the tensionless case of this …

Scaling behavior of roughness in the two-dimensional Kardar–Parisi–Zhang growth -
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We investigate the average frequency of positive slope ν+ α, crossing the velocity field in the
Burgers equation. The level crossing analysis in the inviscid limit and the total number of …