  The Non-thermal phase transition in high energy collisions is studied in some
detail in the framework of random cascade model. The relation between the
characteristic parameter $\lambda_q$ of phase transition and the rank $q$ of
moment is obtained using Monte Carlo simulation, and the existence of two
phases in self-similarly cascading multiparticle systems is shown. The relation
between the critical point $q_c$ of phase transition on the fluctuation
parameter $\alpha$ is obtained and compared with the experimental results from
NA22. The same study is carried out also by analytical calculation under
central limit approximation. The range of validity of the central limit
approximation is discussed.
