Critical behavior of a dynamical percolation model

YU Mei-Ling; XU Ming-Mei; LIU Zheng-You; LIU Lian-Shou

doi:10.1088/1674-1137/33/7/009

Chinese Physics C> 2009, Vol. 33> Issue(7) : 552-556 DOI: 10.1088/1674-1137/33/7/009

Critical behavior of a dynamical percolation model

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Abstract：
The critical behavior of the dynamical percolation model, which realizes the molecular-aggregation conception and describes the crossover between the hadronic phase and the partonic phase, is studied in detail. The critical percolation distance for this model is obtained by using the probability P_∞ of the appearance of an infinite cluster. Utilizing the finite-size scaling method the critical exponents γ/ν and τ are extracted from the distribution of the average cluster size and cluster number density. The influences of two model related factors, i.e. the maximum bond number and the definition of the infinite cluster, on the critical behavior are found to be small.

References

[1]

Lee T D, Wick G C. Physics. Rev. D, 1974, 9: 2291; Lee T D. Rev. Mod. Phys., 1975, 47: 267; Collins J C, Perry M J. Phys. Rev. Lett., 1975, 34: 1353; Shuryak E V. Phys. Rept., 1980, 61: 712 Fodor Z, Katz S D. JHEP, 2004, 04: 0503 XU Ming-Mei, YU Mei-Ling, LIU Lian-Shou. Phys. Rev. Lett., 2008, 100: 0923014 Christensen K, Moloney N R. Complexity and Criticality. London: Imperical College Press, 2005. 35 WANG Fan et al. Phys. Rev. Lett., 1992, 69: 2901 6 Fortunato S, Satz H. Phys. Letters. B, 2001, 509: 189; Nucl. Phys. B, 2001, 598: 6017 Binder K, Heermann D W. Monte Carlo Simulations in Statistical Physics. Springer-Verlag, 1988. 40-418 Isichenko M B. Rev. Mod. Phys., 1992, 64: 9619 Barber M. Finite Size Scaling. In: Domb C, Lebowitz J, ed. Phase Transitions and Critical Phenomena, Volume 8. London: Academic Press, 1983; Cardy J L. ed. Finite-SizeScaling. Amsterdam: North Holland, 1988; Privman V. ed. Finite Size Scaling and Numerical Simulations of Statistical Systems. Singapore: World Scienti c, 199010 Christensen K, Moloney N R. Complexity and Criticality. London: Imperical College Press, 2005. 8111 Gaunt D S, Guttmann A J, Whittington S G. J. Phys. A: Math. Gen., 1979, 12: 75-912 Gaunt D S et al. J. Phys. A: Math. Gen., 1980, 13: 1791- 7; Whittington S G, Torrie G M, Gaunt D S. J. Phys. A: Math. Gen., 1979, 12: L119-23

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YU Mei-Ling, XU Ming-Mei, LIU Zheng-You and LIU Lian-Shou. Critical behavior of a dynamical percolation model[J]. Chinese Physics C, 2009, 33(7): 552-556. doi: 10.1088/1674-1137/33/7/009

YU Mei-Ling, XU Ming-Mei, LIU Zheng-You and LIU Lian-Shou. Critical behavior of a dynamical percolation model[J]. Chinese Physics C, 2009, 33(7): 552-556. doi: 10.1088/1674-1137/33/7/009 shu

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Received: 2008-10-07
Revised: 2008-11-19

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Critical behavior of a dynamical percolation model

Corresponding author: YU Mei-Ling,

Received Date: 2008-10-07

Accepted Date: 2008-11-19

Available Online: 2009-07-05

Abstract:

The critical behavior of the dynamical percolation model, which realizes the molecular-aggregation conception and describes the crossover between the hadronic phase and the partonic phase, is studied in detail. The critical percolation distance for this model is obtained by using the probability P_∞ of the appearance of an infinite cluster. Utilizing the finite-size scaling method the critical exponents γ/ν and τ are extracted from the distribution of the average cluster size and cluster number density. The influences of two model related factors, i.e. the maximum bond number and the definition of the infinite cluster, on the critical behavior are found to be small.

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Critical behavior of a dynamical percolation model

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