A master equation for the Kardar–Parisi–Zhang (KPZ) equation in 2+1 dimensions is developed. In the fully nonlinear regime we determine the finite time scale of the singularity formation in terms of the characteristics of forcing. The exact probability density function of the one point height field is obtained correspondingly. KEY WORDS: Surface growth; Kardar–Parisi–Zhang equation; probability density function
For stationary interface growth, governed by the Kardar-ParisiZhang (KPZ) equation in 1 + 1 dimensio...
We study the atypically large deviations of the height $H\sim{\cal O}(t)$ at the origin at late tim...
We present a systematic short time expansion for the generating function of the one point height pro...
The Kardar-Parisi-Zhang (KPZ) equation in (1 + 1) dimensions dynamically develops sharply connected ...
The joint probability distribution function (PDF) of the height and its gradi-ents is derived for a ...
The Kardar-Parisi-Zhang (KPZ) equation has been connected to a large number of important stochastic ...
Abstract. We review a recent asymptotic weak noise approach to the Kardar–Parisi– Zhang equation for...
We study the restricted solid on solid model for surface growth in spatial dimension d = 2 by means ...
We investigate analytically the large dimensional behavior of the Kardar-Parisi-Zhang (KPZ) dynamics...
An analytical derivation of the probability density function (PDF) tail describing the strongly corr...
We propose a spatial discretization of the Kardar-Parisi-Zhang (KPZ) equation in 1+1 dimensions. The...
We provide the first exact calculation of the height distribution at arbitrary time t of the continu...
We provide the first exact calculation of the height distribution at arbitrary time t of the continu...
International audienceAbstract We study the Kardar–Parisi–Zhang (KPZ) equation on the half-line x ⩾ ...
We examine height-height correlations in the transient growth regime of the 2 + 1 Kardar-Parisi-Zhan...
For stationary interface growth, governed by the Kardar-ParisiZhang (KPZ) equation in 1 + 1 dimensio...
We study the atypically large deviations of the height $H\sim{\cal O}(t)$ at the origin at late tim...
We present a systematic short time expansion for the generating function of the one point height pro...
The Kardar-Parisi-Zhang (KPZ) equation in (1 + 1) dimensions dynamically develops sharply connected ...
The joint probability distribution function (PDF) of the height and its gradi-ents is derived for a ...
The Kardar-Parisi-Zhang (KPZ) equation has been connected to a large number of important stochastic ...
Abstract. We review a recent asymptotic weak noise approach to the Kardar–Parisi– Zhang equation for...
We study the restricted solid on solid model for surface growth in spatial dimension d = 2 by means ...
We investigate analytically the large dimensional behavior of the Kardar-Parisi-Zhang (KPZ) dynamics...
An analytical derivation of the probability density function (PDF) tail describing the strongly corr...
We propose a spatial discretization of the Kardar-Parisi-Zhang (KPZ) equation in 1+1 dimensions. The...
We provide the first exact calculation of the height distribution at arbitrary time t of the continu...
We provide the first exact calculation of the height distribution at arbitrary time t of the continu...
International audienceAbstract We study the Kardar–Parisi–Zhang (KPZ) equation on the half-line x ⩾ ...
We examine height-height correlations in the transient growth regime of the 2 + 1 Kardar-Parisi-Zhan...
For stationary interface growth, governed by the Kardar-ParisiZhang (KPZ) equation in 1 + 1 dimensio...
We study the atypically large deviations of the height $H\sim{\cal O}(t)$ at the origin at late tim...
We present a systematic short time expansion for the generating function of the one point height pro...