The canonical and grand canonical models for nuclear multifragmentation

Calculations based on the statistical equilibrium are implemented in this work in the canonical ensemble (temperature and number of particles are kept fixed) and grand canonical ensemble (fixed temperature and a variable number of particles but with an assigned average). A recursion relation has been developed which allows calculations with arbitrary precision for many nuclear problems. The canonical thermodynamical model has been used to study and calculate the production of light and intermediate particles and properties of the largest fragment resulting from heavy ion collisions and they nicely fit the experimental data. This model also reproduces the salient features of fragmentation cross sections of very neutron-rich nuclei very well. The experimental data for isoscaling as well as the deviations from isoscaling is also reproduced by this canonical thermodynamical model