J. Phys. I France
Volume 6, Numéro 7, July 1996
Page(s) 873 - 890
DOI: 10.1051/jp1:1996104
J. Phys. I France 6 (1996) 873-890

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

F. Hontinfinde and A.C. Levi

Dipartimento di Fisica and Istituto Nazionale per la Fisica della Materia, via Dodecaneso 33, 16146 Genova, Italy

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

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.

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