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

Abstract
HTML
Reference
Related

PDF

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.

References

[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

[1]	Rui-Qin Wang , Jun Song , Gang Li , Feng-Lan Shao . Different production sources of light nuclei inultra-relativistic heavy-ion collisions. Chinese Physics C, 2019, 43(2): 024101. doi: 10.1088/1674-1137/43/2/024101
[2]	Hai-hong Li , Feng-lan Shao , Jun Song . Multiplicity fluctuation and correlation of mesons and baryons in ultra-relativistic heavy-ion collisions at the LHC. Chinese Physics C, 2018, 42(1): 014102. doi: 10.1088/1674-1137/42/1/014102
[3]	Feng-Lan Shao , Jun Song , Rui-Qin Wang , Mao-Sheng Zhang . Energy dependence of resonance production in relativistic heavy ion collisions. Chinese Physics C, 2017, 41(1): 014101. doi: 10.1088/1674-1137/41/1/014101
[4]	Yang Zhong , Chun-Bin Yang , Xu Cai , Sheng-Qin Feng . Chiral electric field in relativistic heavy-ion collisions at energies available at the BNL Relativistic Heavy Ion Collider and at the CERN Large Hadron Collider. Chinese Physics C, 2016, 40(8): 084103. doi: 10.1088/1674-1137/40/8/084103
[5]	LI Lin , WANG Mei-Juan , WU Yuan-Fang . Neighboring azimuthal bin-bin multiplicity correlation as a direct measure for the shear viscosity in relativistic heavy ion collisions. Chinese Physics C, 2013, 37(9): 094102. doi: 10.1088/1674-1137/37/9/094102
[6]	LI Lin , LI Na , WU Yuan-Fang . Azimuthal distributions of radial momentum and velocity in relativistic heavy ion collisions. Chinese Physics C, 2012, 36(5): 423-428. doi: 10.1088/1674-1137/36/5/007
[7]	LE Tian , XU Ming-Mei , WU Yuan-Fang . Centrality and energy dependence of rapidity correlation patterns in relativistic heavy ion collisions. Chinese Physics C, 2011, 35(3): 259-263. doi: 10.1088/1674-1137/35/3/009
[8]	LI De-Sheng , TIAN Feng-Ge , CHEN Gang . Study on the method of mini-jet identification in relativistic heavy ion collisions. Chinese Physics C, 2011, 35(9): 833-837. doi: 10.1088/1674-1137/35/9/009
[9]	FENG Xiu-Mei , ZHANG Ben-Wei . Drell-Yan dilepton production in relativistic heavy-ion collisions at RHIC. Chinese Physics C, 2011, 35(9): 829-832. doi: 10.1088/1674-1137/35/9/008
[10]	WANG Yang-Yang , ZHAO Lin-Jie , YUAN Zhong-Sheng , ZHANG Dan-Dan , FANG Wei , XU Ming-Mei . System size in relativistic heavy ion collisions. Chinese Physics C, 2011, 35(3): 264-268. doi: 10.1088/1674-1137/35/3/010
[11]	FU Yong-Ping , LI Yun-De . Photon production in relativistic heavy ion collisions with equilibrium and non-equilibrium QGP. Chinese Physics C, 2010, 34(2): 186-191. doi: 10.1088/1674-1137/34/2/006
[12]	HUANG Yan-Ping , WU Yuan-Fang . Centrality, azimuthal and rapidity dependence of two-particle transverse-momentum correlation in relativistic heavy ion collisions. Chinese Physics C, 2009, 33(4): 281-284. doi: 10.1088/1674-1137/33/4/008
[13]	WANG Mei-Juan , LIU Lian-Shou , WU Yuan-Fang . Trace initial interaction from final state observable in relativistic heavy ion collisions. Chinese Physics C, 2009, 33(1): 36-41. doi: 10.1088/1674-1137/33/1/008
[14]	YU Mei-Ling , XU Ming-Mei , LIU Zheng-You , LIU Lian-Shou . Critical behavior of a dynamical percolation model. Chinese Physics C, 2009, 33(7): 552-556. doi: 10.1088/1674-1137/33/7/009
[15]	Wang Chengshing , Zhao Qiang , Tang Ping . Glauber Theory on Transverse Energy Distributions in Ultra-Relativistic Heavy Ion Collisions. Chinese Physics C, 1996, 20(S2): 149-154.
[16]	Liu Fuhu , Sun Hancheng . Transverse Momentum and the Pseudorapidity Distributions of Negative Particles in Relativistic Heavy Ion Collisions. Chinese Physics C, 1995, 19(S1): 21-26.
[17]	Zhao Weiqin , Liu Bo . Transverse Energy Dependence of Yield of Charmonium Production in Relativistic Heavy Ion Collisions. Chinese Physics C, 1995, 19(S1): 97-101.
[18]	Liu Yiming , Zhang Weigang , Huo Lei , Wang Shan , D. Keane , S. Y. Chu , S. Y. Fung . Transverse Motion Correlation of Collective Flow in Relativistic Heavy Ion Collisions. Chinese Physics C, 1994, 18(S2): 167-174.
[19]	Soren P. Sorensen , Zhao Weiqin . Influence of Finite Collision Time on Energy Density in Relativistic Heavy Ion Collisions. Chinese Physics C, 1993, 17(S1): 89-93.
[20]	Liu Yiming , Zhang Weining , Wang Shan , Jiang Yuzhen , D. Keane , S. Y. Fung , S. Y. Chu . Two-pion Interferometry for Multi-pion Events in Relativistic Heavy Ion Collisions. Chinese Physics C, 1990, 14(S3): 281-289.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2899)
PDF Downloads(607)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article