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Event-by-event fluctuations in the spatial patterns in charged particlesgenerated in Pb--Pb collisions at the center-of-mass energy$\sqrt{S_{\rm{NN}}}$ = 2.76 TeV are studied within A MultiPhase Transport(AMPT) model. The spatial patterns of the particles generated in the ($\eta,\phi$) space for $|\eta| \le 0.8$ are studied using the methodology ofintermittency and erraticity analysis. We find negative intermittency forcharged particles generated in a range of $p_{\rm{T}}$ windows. This resultcontrasts sharply from what is expected for a quark-gluon plasma undergoinghadronization by a second-order phase transition. Appropriate scaling behavioris examined, resulting in definitive scaling exponent $\nu_{-}$. Event-by-eventfluctuations in the spatial patterns quantified by an index, named erraticityindex are determined for different $p_{\rm{T}}$ bins $\leq 1$ GeV/c, for AMPTmodel. This is the first time that the intermittency and erraticity indices aredetermined for any model at such high energies. The results presented here canbe used for comparison with the fluctuation properties of the experimental dataand hence can help the development of a wider scope of understanding ofvalidity of the particle production process by AMPT at these energies on theone hand, and of the true nature of the real data on the other.

Evidence on the absence of critical transition in AMPT for Pb-Pb collisions at $sqrt{s_{\rm{NN}}}$ = 2.76 TeV