Cluster Emission and Phase Transition Behavior in the Nuclear Disassembly

The features of the emissions of light particles ($LP$), charged particles ($CP$), intermediate mass fragments ($IMF$) and the largest fragment ($MAX$) are investigated for $^{129}Xe$ as functions of temperature and "freeze-out" density in the frameworks of isospin dependent lattice gas model and classical molecular dynamics model. Definite turning points for the slopes of average multiplicity of $LP$, CP and $IMF$, and of the mean mass of the largest fragment ($A_{max}$) are shown around a liquid gas phase transition temperature and while the largest variances of the distributions of $LP$, $CP$, $IMF$, and $MAX$ appear there. It indicates that the cluster emission rate can be taken as a probe of nuclear liquid gas phase transition and while the largest fluctuation is simultaneously accompanied at the point of the phase transition within lattice gas model and molecular dynamics model as the traditional thermodynamical theory requires when a phase transition occurs.