Critical phenomena in a disc-percolation model and their application to relativistic heavy ion collisions
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 P_(QGP)-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.
作 者： KE Hong-Wei XU Ming-Mei LIU Lian-Shou 作者单位： KE Hong-Wei(Institute of Particle Physics,Huazhong Normal University,Wuhan 430079,China)XU Ming-Mei,LIU Lian-Shou(Institute of Particle Physics,Huazhong Normal University,Wuhan 430079,China;Key Lab of Quark and Lepton Physics (Huazhong Normal University),Ministry of Education,Wuhan 430079,China)
刊 名： 中国物理C(英文版) ISTIC 英文刊名： CHINESE PHYSICS C 年，卷(期)： 2009 33(10) 分类号： O4 关键词： relativistic heavy ion collisions quark deconfinement critical phenomena percolation