title: Short-time growth of a Kardar-Parisi-Zhang interface with flat initial conditions.
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.
authors.affiliation: CNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex, France.
authors.forename: Thomas
authors.initials: T
authors.lastname: Gueudré
authors.forename: Pierre
authors.initials: P
authors.lastname: Le Doussal
authors.forename: Alberto
authors.initials: A
authors.lastname: Rosso
authors.forename: Adrien
authors.initials: A
authors.lastname: Henry
authors.forename: Pasquale
authors.initials: P
authors.lastname: Calabrese