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《Chinese Physics C》 2009-10
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Critical phenomena in a disc-percolation model and their application to relativistic heavy ion collisions

KE Hong-Wei1 XU Ming-Mei1,2 LIU Lian-Shou1,2 1 (Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China) 2 (Key Lab of Quark and Lepton Physics (Huazhong Normal University), Ministry of Education, Wuhan 430079, China)  
By studying the critical phenomena in continuum-percolation of discs, we find a new approach to locate the critical point, i.e. using the inflection point of P∞ as an evaluation of the percolation threshold. The susceptibility, defined as the derivative of P∞, possesses a finite-size scaling property, where the scaling exponent is the reciprocal of ν, the critical exponent of the correlation length. A possible application of this approach to the study of the critical phenomena in relativistic heavy ion collisions is discussed. The critical point for deconfinement can be extracted by the inflection point of PQGP-the probability for the event with QGP formation. The finite-size scaling of its derivative can give the critical exponent ν, which is a rare case that can provide an experimental measure of a critical exponent in heavy ion collisions.
【Fund】: Supported by National Natural Science Foundation of China (10775056 10835005 10847131)
【CateGory Index】: O571.6
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