We study surface diffusion in the framework of a generalized Frenkel-Kontorova model with a nonconvex transverse degree of freedom. The model describes a lattice of atoms with a given concentration interacting by Morse-type forces, the lattice being subjected to a two-dimensional substrate potential which is periodic in one direction and nonconvex (Morse) in the transverse direction. The results are used to describe the complicated exchange-mediated diffusion mechanism recently observed in molecular dynamics simulations [J. E. Black and Zeng-Ju Tian, Phys. Rev. Lett. 71, 2445 (1993)]. {} 1996 The American Physical Society.
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Braun et al. (1996) studied this question.
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