Bussemaker, H. J.Brito, Ricardo2023-06-202023-06-201997-061. U. Frisch, D. d'Humières, B. Hasslacher, P. Lallemand, Y. Pomeau, and J.P. Rivet, Complex Systems 1:31 (1987) [reprinted in G. Doolen, ed., Lattice-Gas Methods for Partial Differential Equations (Addison-Wesley, Reading, Massachusetts, 1990)]. 2. J. P. Boon, D, Dab, R. Kapral, and A. Lawniczak, Phys. Rep. 273:55 (1996). 3. H. J. Bussemaker, M. H. Ernst, and J. W. Dufty, J. Stat. Phys, 78:1521 (1995). 4. M. H. Ernst and H. J. Bussemaker, J. Star. Phys. 81:515 (1995); R. Brito, H. J. Bussemaker, M. H. Ernst, and J. Matsui, Phys. Rev. E 52:2657 (1995); H. J. Bussemaker, Phys. Rev. E 53:1644 (1996); H. J, Bussemaker and M. H. Ernst, Phys. Rev. E 53:5837 (1996). 5. B. M. Boghosian and W. Taylor, Phys. Rev. E 52:510 (1995). 6. B. M. Boghosian and W. Taylor, J. Star. Phys. 81:295 (1995). 7. D. Dab and J. P. Boon, and Y.X. Li, Phys. Rev. Left. 70:1940 (1993). 8. K. Maginu, Math. Biosci 27:17 ( 1975 ); J. Diff. Eqs. 31:130 (1978). 9. X.G. Wu and R. Kapral, Phys. Rev. Lett. 70:1940 (1993). 10. J. R. Weimar, D. Dab, J. P, Boon, and S, Succi, Europhys. Lett. 20:627 (1992).0022-471510.1007/BF02181278https://hdl.handle.net/20.500.14352/58577© 1997 Plenum Publishing Corporation. We thank D. Dab and J. P. Boon for providing us with the table with the transition rates. R.B. acknowledges financial support from D.G.I.C.y T. (Spain), project PB94-0265.A kinetic description of lattice-gas automaton models for reaction-diffusion systems is presented. It provides corrections to the mean-field rate equations in the diffusion-limited regime. When applied to the two-species Maginu model, the theory gives an excellent quantitative prediction of the effect of slow diffusion on the periodic oscillations of the average concentrations in a spatially homogeneous state.engjournal articlehttp://link.springer.com/content/pdf/10.1007%2FBF02181278http://link.springer.comhttp://arxiv.org/pdf/physics/9612008v2open access536Lattice-gas automataViolating detailed balanceTermodinámica2213 Termodinámica