Isospin effects in the thermodynamics of finite nuclei

It has been proposed that multifragmentation can be related to the liquid-gas phase transition of nuclear matter. We study the statistical properties of finite nuclear matter near the phase transition with the help of a Lattice Gas Model (LGM). The original version of LGM with only one type of charge-neutral particles is well known to feature the properties of the liquid-gas phase transition. In this contribution, we address the effect of Coulomb and isospin dependence interaction for the finite nuclei transition, and study the symmetry energy properties of finite temperature systems. In the last decade, there has been a growing interest for the measurement of the symmetry coefficient csym of the nuclear equation of state, through experiments with heavy ion collisions. At zero temperature, most mean-field-based nuclear equations of state can be approximately reproduced through the density (ρ) functional form [1] :