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We consider a lattice-gas model with an infinite range pairwise noncovexinteraction. It might be relevant, for example, for adsorption of alkalineelements on W(112) and Mo(112). We study a competition between the effectivedipole-dipole and indirect interactions. The resulting ground state phasediagrams are analysed (numerically) in detail. We have found that for somemodel parameters the phase diagrams contain a region dominated by severalphases only with periods up to nine lattice constants. The remaining phasediagrams reveal a complex structure of usually long periodic phases. We alsodiscuss a possible role of surace states in phase transitions.Comment: 16 pages, 5 Postscript figures; Physical Review B15 (15 August 1996),  in pres

Ground states of a one-dimensional lattice-gas model with an infinite-range nonconvex interaction. A numerical study