Speaker
Description
In this contribution, we present a first factorial moment analysis performed on the multiplicity distributions of charged particles produced in the Pb$-$Pb collisions at $\sqrt{s_{\rm{NN}}}$=2.76 TeV, recorded with the ALICE detector at the LHC. The normalized factorial moments (NFM) of spatial configurations of charged particles in two-dimensional angular ($\eta,\varphi$) phase space, $F_{q}$ for $q\ge2$, are calculated. For a system with dynamical fluctuations due to characteristic critical behaviour near the phase transition, $F_{q}$ exhibits power-law growth with increasing bin number or decreasing bin size which indicates self-similar fluctuations. Relating the $q^{\rm{th}}$ order NFM ($F_{q}$) to the second order NFM ($F_{2}$), the value of the scaling exponent ($\nu$) is extracted, which indicates the order of the phase transition within the framework of Ginzburg-Landau theory.