  A study of Event by Event analysis of maximum Pseudo-rapidity Gap Fluctuation
in heavy-ion collisions in terms of the scaled variance {\omega} has been
carried out for relativistic AA collisions with multiplicity cut (N >10) using
nuclear emulsion data at 4.5 AGeV/c. The values of scaled variance are found to
be greater than zero indicating the presence of strong fluctuation of maximum
rap gap values in the multiparticle production process. The event by event
fluctuations are found to decrease with the increase of average multiplicity of
the interactions. Experimental analysis has been compared with the results
obtained from the analysis of events simulated by generating random numbers
(MC-RAND events) and also by Ultra Relativistic Quantum Molecular Dynamics
(UrQMD) model. UrQMD model simulated values of event by event fluctuations of
maximum rapidity gap are less than the corresponding experimental values.
