Search for Fractal Structures in Monte Carlo AuAu Events at an Energy of 200 GeV by the SePaC Method

Fractals, random, and AMPT AuAu events are analyzed using the $$SePaC$$ method. Transverse momenta $${{p}_{{\text{t}}}}$$ of negatively charged particles are examined in five centrality classes. Fractal AuAu events with independent partition are shown to feature several narrow peaks in the spectrum of fractal dimensions $${{D}_{{\text{F}}}}$$ and a separated group of leading particles in transverse momentum $${{p}_{{\text{t}}}}$$ for all events and to satisfy the criteria that describe statistical properties. Remaining events exhibit exponential behavior of the $${{p}_{{\text{t}}}}$$ spectrum. Fractal AuAu events with dependent partition have a broad peak in the $${{D}_{{\text{F}}}}$$ spectrum and are suppressed by selection criteria.