Measuring dynamical fluctuations in relativistic heavy ion collisions

Using a hadronic transport model and its cascade limit for relativistic heavy ion collisions, we study properties of dynamical fluctuations from event to event by calculating the reduced scaled factorial moments as a function of the bin size in pseudorapidity. We found that the reduced scaled factorial moments of charged pions show an intermittent behavior due to the random cascading property of the reaction. The anomalous dimension increases with the increasing rank of the moment. Effects of mixing events of different impact parameters on the reduced scaled factorial moments have also been studied. Comparisons to available experimental data are made, and discrepancies between the model calculations and the experimental data are discussed.