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]	Jialin He , Xinye Peng , Zhongbao Yin , Liang Zheng . Extracting the kinetic freeze-out properties of high energy pp collisions at the LHC with event shape classifiers. Chinese Physics C, 2026, 50(2): 1-16.
[2]	G.R. Boroun . Non-linear corrections to the derivative of nuclear reduced cross-section at small x at a future electron-ion collider. Chinese Physics C, 2026, 50(2): 1-10.
[3]	. Soft pattern of gravitational Rutherford scattering from heavy target mass expansion. Chinese Physics C, 2026, 50(1): 013102. doi: 10.1088/1674-1137/ad62d6
[4]	Renli Xu , Chen Wu , Jian Liu , Bin Hong , Jie Peng , Xiong Li , Ruxian Zhu , Zhizhen Zhao , Zhongzhou Ren . Ground-state properties of finite nuclei in relativistic Hartree-Bogoliubov theory with an improved quark mass density-dependent model. Chinese Physics C, 2026, 50(2): 1-12.
[5]	. ³H and ³He nuclei production in a combined thermal and coalescence framework for heavy-ion collisions in the few-GeV energy regime. Chinese Physics C, 2026, 50(1): 014104. doi: 10.1088/1674-1137/ae099a
[6]	Shaowei Lan , Qiuhua Liu , Yong Li , Shusu Shi . Energy Dependence of Elliptic Flow Ratio v₂^PP/v₂^RP in Heavy-ion Collisions Using the AMPT Model. Chinese Physics C, 2026, 50(3): 1-6.
[7]	Shuo Yang , Yi-Hang Wang , Peng-Bo Zhao , Ji-Long Ma . Search for heavy vector-like B quark via pair production in fully hadronic channels at CLIC. Chinese Physics C, 2025, 49(11): 113101. doi: 10.1088/1674-1137/adf183
[8]	Ze-Fang Jiang , Shuo-Yan Liu , Tian-Yu Hu , Huang-Jing Zheng , Duan She . 1+1 dimensional relativistic viscous non-resistive magnetohydrodynamics with longitudinal boost invariance. Chinese Physics C, 2025, 49(11): 114104. doi: 10.1088/1674-1137/ade6d4
[9]	Muhammad Farhan Taseer , Subhash Singha . Impact of particle production mechanisms on pseudorapidity distribution and directed flow in Au+Au and Cu+Cu collisions at ${ \sqrt{{\boldsymbol s}_{\boldsymbol{ NN}}}}$ = 19.6 GeV using AMPT model. Chinese Physics C, 2025, 49(10): 104101. doi: 10.1088/1674-1137/ade660
[10]	Siyu Tang , Zuman Zhang , Chao Zhang , Liang Zheng , Renzhuo Wan . Investigating the transverse-momentum- and pseudorapidity-dependent flow vector decorrelation in p–Pb collisions with a multi-phase transport model. Chinese Physics C, 2025, 49(12): 124104. doi: 10.1088/1674-1137/adef1b
[11]	Zhi-Lei Ma , Zhun Lu , Hao Liu , Li Zhang . Inelastic heavy quarkonium photoproduction in p-p and Pb-Pb collisions at LHC energies. Chinese Physics C, 2025, 49(10): 103103. doi: 10.1088/1674-1137/ade1ca
[12]	Zhen-Yu Li , Guo-Liang Yu , Zhi-Gang Wang , Jian-Zhong Gu , Hong-Tao Shen . Mass spectra of singly heavy baryons in the relativized quark model with heavy-quark dominance. Chinese Physics C, 2025, 49(11): 113107. doi: 10.1088/1674-1137/adf178
[13]	Wei-Xi Kong , Ben-Wei Zhang . Fox-Wolfram moment of jet production in relativistic heavy-ion collisions. Chinese Physics C, 2025, 49(9): 094101. doi: 10.1088/1674-1137/add5d8
[14]	Hong-Lei Li , Peng-Cheng Lu , Cong-Feng Qiao , Zong-Guo Si , Ying Wang . Study of the Standard Model and Majorana neutrino contributions to ${ B}^{{ +}} { \to} { K}^{{ (*){ \pm}}}{ \mu}^{ +}{ \mu}^{{ \mp}}$. Chinese Physics C, 2019, 43(2): 023101. doi: 10.1088/1674-1137/43/2/023101
[15]	D. Banerjee , S. Sahoo . Analysis of λ_b→λ l⁺l^- rare decays in a non-universal Z' model. Chinese Physics C, 2017, 41(8): 083101. doi: 10.1088/1674-1137/41/8/083101
[16]	YE Yan-Lin , ZHOU Xiao-Hong , LIU Wei-Ping , MA Yu-Gang , ZHANG Yu-Hu , XU Fu-Rong . Outline of the progress in the study of radioactive nuclear physics and super-heavy nuclei. Chinese Physics C, 2008, 32(S2): 1-7.
[17]	ZHANG Man-Zhou , HOU Jie , LI Hao-Hu , LIU Gui-Min , LI De-Ming . Optimal sorting method and application to SSRF booster dipoles. Chinese Physics C, 2008, 32(11): 924-927. doi: 10.1088/1674-1137/32/11/015
[18]	A.G.Drentje . Gas-mixing: Ion Cooling or Reduced Turbulent Heating?. Chinese Physics C, 2007, 31(S1): 162-164.
[19]	LIU Chang-Long , LU Yi-Ying , YIN LI . Effects of Additional Vacancy-Like Defects Produced by Ion Impealations on Boron Thermal Diffusion in Silicon. Chinese Physics C, 2005, 29(11): 1107-1111.
[20]	WU Zhong-Li . ANALYSIS OF THE MOMENTUM DISTRIBUTION WIDTH OF THE PREOJECTILE-LIKE-FRAGMENT FROM HEAVY ION COLLISIONS. Chinese Physics C, 1989, 13(8): 752-754.

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(4380)
PDF Downloads(608)
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