Monte Carlo simulations of a two-dimensional lattice gas in the grand
canonical ensemble are performed to analyze the behavior of Si adatoms
on Si(111)-1 x 1 surfaces. 2 x 2, c2 x 8 and c2 x 4 structures appear
at 300 K under the condition that only Coulomb repulsion is introduce
d as a pair interaction between adatoms. The adatom density increases
with the temperature, and root 3 x root 3 structures appear at 550 deg
rees C. These results agree with our recent STM observations. (C) 1997
Elsevier Science B.V.