title: Averaged time evolution of rough surfaces.
abstract: We propose a method of extracting an approximated evolution equation of distribution of height fluctuations for a class of discrete growth models of rough surfaces where the behavior of local slopes can be described by a Markov process. Using the Markov property of the fluctuating field, the evolution equation is obtained as a map describing the time evolution averaged over possible growth paths. Applying the method to a -dimensional restricted solid-on-solid model, we obtain a map with finite degrees of freedom. The obtained map describes well the averaged evolution of surfaces.
authors.affiliation: Department of Physics, Faculty of Science, Shizuoka University, Ohya 836, Suruga, Shizuoka 422-8529, Japan.
authors.forename: Shinichi
authors.initials: S
authors.lastname: Sato
authors.forename: Takayuki
authors.initials: T
authors.lastname: Kitamura