title: Scaling of ballistic deposition from a Langevin equation.
abstract: An exact lattice Langevin equation is derived for the ballistic deposition model of surface growth. The continuum limit of this equation is dominated by the Kardar-Parisi-Zhang (KPZ) equation at all length and time scales. For a one-dimensional substrate the solution of the exact lattice Langevin equation yields the KPZ scaling exponents without any extrapolation. For a two-dimensional substrate the scaling exponents are different from those found from computer simulations. This discrepancy is discussed in relation to analytic approaches to the KPZ equation in higher dimensions.
authors.affiliation: The Blackett Laboratory, Imperial College, London SW7 2BW, United Kingdom.
authors.forename: Christoph A
authors.initials: CA
authors.lastname: Haselwandter
authors.forename: Dimitri D
authors.initials: DD
authors.lastname: Vvedensky