Related Experiment Video
Updated: May 16, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Short-time growth of a Kardar-Parisi-Zhang interface with flat initial conditions
Thomas Gueudré1, Pierre Le Doussal, Alberto Rosso
1CNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex, France.
Abstract:
The short-time behavior of the (1+1)-dimensional Kardar-Parisi-Zhang (KPZ) growth equation with a flat initial condition is obtained from the exact expressions for the moments of the partition function of a directed polymer with one end point free and the other fixed. From these expressions, the short-time expansions of the lowest cumulants of the KPZ height field are exactly derived. The results for these two classes of cumulants are checked in high-precision lattice numerical simulations. The short-time limit considered here is relevant for the study of the interface growth in the large-diffusivity or weak-noise limit and describes the universal crossover between the Edwards-Wilkinson and the KPZ universality classes for an initially flat interface.
Related Concept Videos
Ziegler–Natta Chain-Growth Polymerization: Overview
Exponential Equations for Modeling Growth
Growth Models with Integration: Problem Solving
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model
Step-Growth Polymerization: Overview
Many natural and synthetic polymers are produced by...
Fermi Level Dynamics
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...

