Mapping of (1+1) D-Crystal Growth onto a 14-Vertex Model

(Received 11 January 1996, received in final form 4 March 1996, accepted 19 March 1996)

Abstract
A restricted solid-on-solid (SOS) single- and double-step model is introduced and studied with Glauber dynamics. Kinetics and roughness of the growing crystal are described in terms of a Markov process whose states are given by the crystal upper edge profile that we map onto a 14-vertex model. We solve exactly the kinetic equation for small-size versions of the model. Extensive simulations are performed to derive the large scale properties. The present study appears as a further extension of Gates and Westcott's investigation of the single-step model.