arXiv:cond-mat/9908336v1 [cond-mat.stat-mech] 24 Aug 1999 DYNAMICS AND STATISTICS OF SIMPLE MODELS WITH INFINITE-RANGE ATTRACTIVE INTERACTION MICKA ¨ EL ANTONI Thermodynamique et mod´ elisation des milieux hors d’´ equilibre, Laboratoire de Chimie des Syst` emes Complexes, Universit´ e d’Aix-Marseille III, Av. Escadrille Normandie-Niemen, F-13397 Marseille, France E-mail: m.antoni@lom.u-3mrs.fr STEFANO RUFFO Dipartimento di Energetica “S. Stecco”, Universit´ a di Firenze, via S. Marta 3, I-50139 Firenze, Italy INFM, Unit` a di Firenze, I-50125 Firenze, Italy INFN, Sezione di Firenze, I-50125 Firenze, Italy E-mail: ruffo@avanzi.de.unifi.it ALESSANDRO TORCINI Istituto Nazionale di Fisica della Materia, Unit` a di Firenze, Largo E. Fermi 2, I-50125 Firenze, Italy E-mail: torcini@ino.it URL: http://torcini.de.unifi.it/∼torcini papero4: submitted to World Scientific on March 27, 2018 1