A lattice-gas model with two types of particles, a particle-dependent short-range coupling and a long-range repulsive Coulombic interaction, is introduced. The phase diagram of an isolated finite system of 129 particles is constructed using the bimodality properties of the observables' distribution. We show that this generic Hamiltonian, with couplings optimized on the properties of the atomic nucleus, exhibits a specific phase diagram including, together with the well-known liquid-gas phase transition, a segregation phase that can be assimilated to nuclear fission.