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It is pointed out that finite-size effect is not negligible in locatingcritical point of QCD phase transition at current relativistic heavy ioncollisions. Finite-size behavior near critical point, in particular,finite-size scaling and fixed-point behavior of the final observables can beserved as a quantitative identification of critical point and the nearbyboundary of the QCD phase transition. The validity of the method at finitedetector acceptances at RHIC is discussed.

Finite-size behavior near the critical point of QCD phase-transition