  The two-dimensional Potts Model with 2 to 10 states is studied using a
cluster algorithm to calculate fluctuations in cluster size as well as commonly
used quantities like equilibrium averages and the histograms for energy and the
order parameter. Results provide information about the variation of cluster
sizes depending on the temperature and the number of states. They also give
evidence for first-order transition when energy and the order parameter related
measurables are inconclusive on small size lattices.
