Analysis of strongly intensive quantities for event-by-event transverse momentum and multiplicity fluctuations using the AMPT model

Strongly intensive quantities Σ[P T , N] and Δ[P T , N] have become one of the important tools in study of phase transitions and critical points in high energy heavy-ion collisions. In this paper the properties of Σ[P T , N] and Δ[P T , N] are discussed within different colliding nuclei systems generated by the AMPT model. The combined event method are proposed to simulate the model of independent sources in which Σ[P T , N] and Δ[P T , N] are independent of the number of original events. The effects of transverse momentum, pseudorapidity and parton cascade are also discussed.