Critical phenomena in a disc-percolation model and their application to relativistic heavy ion collisions

KE Hong-Wei; XU Ming-Mei; LIU Lian-Shou

doi:10.1088/1674-1137/33/10/007

Chinese Physics C> 2009, Vol. 33> Issue(10) : 854-859 DOI: 10.1088/1674-1137/33/10/007

Critical phenomena in a disc-percolation model and their application to relativistic heavy ion collisions

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Abstract：
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.

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[1]

. Karsch F. J. Phys. Conf. Ser., 2006, 46: 1222. Fukushima K, Talk given in the seminar of "The QCD Crit-ical Point". Washington, July 28 - August 22, 20083. Pisarski R, Wilczek F. Phys. Rev. D, 1984, 29: 338; Ra-jagopal K. In: Quark-Gluon Plasma 2. Eds Hwa R. Sin-gapore: World Scienti c, 1995. 484; Berges J, RajagopalK. arXiv: hep-ph/9804233; Halasz M A et al. arXiv: hep-ph/9804290; For a review, see Lawrie I and Sarbach S. In:Phase Transitions and Critical Phenomena. Vol. 9. Eds.Domb C and Lebowitz J. New York: Academic Press, 1984.14. Adams J et al. (STAR Collaboration). Nucl. Phys. A, 2005,757: 102; Adcox K et al. (PHENIX Collaboration). Nucl.Phys. A, 2005, 757: 1845. Satz H. Nucl. Phys. A, 1998, 642: c130; Satz H. Int. J.Mod. Phys. A, 2006, 21: 6726. Shklovskii B I, Efros A L. Electronic Properties of DopedSemi conductors. New York: Springer, 19847. Abrikosov A A. Adv. Phys., 1980, 29: 8698. Fortunato S, Satz H. Phys. Lett. B, 2001, 509: 189; Nucl.Phys. B, 2001, 598: 6019. Binder K, Heermann D W. Monte Carlo Simulations inStatistical Physics. Springer-Verlag, 1988. 4010. Christensen K, Moloney N R. Complexity and Criticality.London: Imperical College Press, 200511. Barber M. Finite size scaling. In: Phase Transitions andCritical Phenomena. Vol. 8. eds. Domb C and Lebowitz J.London: Academic Press, 199312. Stau er D, Aharony A. Introduction to percolation theory.Taylor Francis, 200313. March N H, Tosi M P. Introduction to liquid state physics.Singapore: World Scienti c Publishing Co., 200214. DU Jia-Xin et al. Chinese Physics C (HEP NP), 2009,33(8): 65515. LIU Lian-Shou. Talk given at the SQM08 Conference, Bei-jing, October 6-10, 2008; J. Phys. G, 2009, 36: 064041

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KE Hong-Wei, XU Ming-Mei and LIU Lian-Shou. Critical phenomena in a disc-percolation model and their application to relativistic heavy ion collisions[J]. Chinese Physics C, 2009, 33(10): 854-859. doi: 10.1088/1674-1137/33/10/007

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Received: 2009-01-22
Revised: 2009-04-21

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通讯作者: 陈斌, [email protected]

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沈阳化工大学材料科学与工程学院沈阳 110142

Critical phenomena in a disc-percolation model and their application to relativistic heavy ion collisions

Corresponding author: XU Ming-Mei,

Received Date: 2009-01-22

Accepted Date: 2009-04-21

Available Online: 2009-10-05

Abstract:

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.

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Critical phenomena in a disc-percolation model and their application to relativistic heavy ion collisions

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