Energy dependence of non-linear dynamical features in e+e－ collisions

A study of the dynamical fluctuation properties at various c.m. energies in e⁺e^－ collisions is performed using the Monte Carlo method. The results suggest that, after the normalized factorial moments of 3-dimensional phase space are analyzed using an isotropical phase space partition, the NFM describing non-linear dynamical properties show a power-law scaling, i.e., the dynamical fluctuations in higher dimensional phase space are isotropic. For c.m. energies √s≤80 GeV, the scaling exponents φ_q increase rapidly with the c.m. energy and for c.m. energies √s>80GeV, the φ_q gradually saturate.