Model investigation of non-thermal phase transition in high energy collisions

The non-thermal phase transition in high energy collisions is studied in de tail in the framework of random cascade model. The relation between the cha racteristic parameter A, of phase transition and the rank q of moment is ob tained using Monte Carte simulation, and the existence of two phases in sel f-similar cascading multiparticle systems is shown. The relation between th e critical point q, of phase transition on the fluctuation parameter cr is obtained and compared with the experimental results from NA22. The same stu dy is carried out also by analytical calculation under central limit approx imation. The range of validity of the central limit approximation is discus sed.