Expanding the thermodynamical potential and analysis of the possible phase diagram of decon nement in the FL model

SHU Song; LI Jia-Rong

doi:10.1088/1674-1137/36/4/004

Chinese Physics C> 2012, Vol. 36> Issue(4) : 316-321 DOI: 10.1088/1674-1137/36/4/004

Expanding the thermodynamical potential and analysis of the possible phase diagram of decon nement in the FL model

SHU Song ,
LI Jia-Rong

Abstract
HTML
Reference
Related

PDF

Abstract：
Decon nement phase transition is studied in the FL model at finite temperature and chemical potential. At MFT approximation, phase transition can only be first order in the whole μ-T phase plane. Using a Landau expansion, we further study the phase transition order and the possible phase diagram of decon nement. We discuss the possibilities of second order phase transitions in the FL model. From our analysis, if the cubic term in the Landau expansion could be cancelled by the higher order fluctuations, second order phase transition may occur. By an ansatz of the Landau parameters, we obtain a possible phase diagram with both the first and second order phase transitions, including the tri-critical point which is similar to that of the chiral phase transition.

References

[1]

Gyulassy M, McLerran L. Nucl. Phys. A, 2005, 750: 302 Kapusta J I. J. Phys. G, 2007, 34: S295-3043 Svetisky B, Ya e L G. Nucl. Phys. B, 1982, 210: 4234 Pisarski R D, Wilczek F. Phys. Rev. D, 1984, 29: 3385 Shuryak E, Schaefer T. Phys. Rev. Lett., 1995, 75: 17076 Alford M, Rajagopal K, Wilczek F. Phys. Lett. B, 1998,422: 247; Berges J, Rajagopal K. Nucl. Phys. B, 1999 538:2157 McLerran L, Pisarski R D. Nucl. Phys. A, 2007, 796: 83-100; McLerran L, Redlich K, Sasaki C. Nucl. Phys. A, 2009,824: 86-1008 Fukushima K. Phys. Rev. D, 2003, 68: 045004; Nishida Y, Fukushima K, Hatsuda T. Phys. Rept., 2004, 398: 281-3009 Karsch F. Lect. Notes Phys., 2002, 583: 209-24910 Scavenius O, Mocsy A, Mishustin I N, Rischke D H. Phys. Rev. C, 2001, 64: 04520211 Stephanov M, Rajagopal K, Shuryak E. Phys. Rev. Lett.,1998, 81: 4816-481912 Alford M, Rajagopal K, Wilczek F. Phys. Lett. B, 1998,422: 247-25613 Polyakov A M. Phys. Lett. B, 1978, 72: 47714 Svetitsky B. Phys. Rept., 1986, 132: 115 Fukushima K. Phys. Lett. B, 2004, 591: 27716 Roessner S, Ratti C, Weise W. Phys. Rev. D, 2007, 75:03400717 Schaefer B J, Pawlowski J M, Wambach J. Phys. Rev. D,2007, 76: 07402318 Kahara T, Tuominen K. Phys. Rev. D, 2008, 78: 03401519 MAO H, JIN J, Huang M. J. Phys. G, 2010, 37: 03500120 Friedberg R, Lee T D. Phys. Rev. D, 1977, 15: 169421 Gold am R, Wilets L. Phys. Rev. D, 1982, 25: 195122 Birse M C. Prog. Part. Nucl. Phys., 1990, 25: 123 Reinhardt H, DANG B V, Schulz H. Phys. Lett. B, 1985,159: 16124 LI M, Birse M C, Wilets L. J. Phys. G, 1987, 13: 125 WANG E K, Li J R and Liu L S. Phys. Rev. D, 1990, 41:2288; GAO S, WANG E K, LI J R. Phys. Rev. D, 1992,46: 3211; DENG S H, LI J R. Phys. Lett. B, 1993, 302:27926 MAO H, SU R K, ZHAO W Q. Phys. Rev. C, 2006, 74:055204; MAO H, YAO M J, ZHAO W Q. Phys. Rev. C,2008, 77: 06520527 SHU S, LI J R. Phys. Rev. C, 2010, 82: 045203

[1]	Xue Pan , Yanhua Zhang , Lizhu Chen , Mingmei Xu , Yuanfang Wu . Finite-size behaviour of generalized susceptibilities in the whole phase plane of the Potts model. Chinese Physics C, 2018, 42(2): 023110. doi: 10.1088/1674-1137/42/2/023110
[2]	Ishtiaq Ahmed , Abdur Rehman . LHCb anomaly in B→K^*μ⁺μ^- optimised observables and potential of Z' model. Chinese Physics C, 2018, 42(6): 063103. doi: 10.1088/1674-1137/42/6/063103
[3]	El Hanafy , G. G. L. Nashed . Generic phase portrait analysis of finite-time singularities and generalized teleparallel gravity. Chinese Physics C, 2017, 41(12): 125103. doi: 10.1088/1674-1137/41/12/125103
[4]	Sergey Dubovichenko , Nassurlla Burtebayev , Albert Dzhazairov-Kakhramanov , Denis Zazulin , Zhambul Kerimkulov , Marzhan Nassurlla , Chingis Omarov , Alesya Tkachenko , Tatyana Shmygaleva , Stanislaw Kliczewski , Turlan Sadykov . New measurements and phase shift analysis of p¹⁶O elastic scattering at astrophysical energies. Chinese Physics C, 2017, 41(1): 014001. doi: 10.1088/1674-1137/41/1/014001
[5]	Heng Chen , Kun Gao , Da-Jiang Wang , Li Song , Zhi-Li Wang . Performance analysis of quantitative phase retrieval method in Zernike phase contrast X-ray microscopy. Chinese Physics C, 2016, 40(2): 029001. doi: 10.1088/1674-1137/40/2/029001
[6]	N. Salehi , H. Hassanabadi , A. A. Rajabi . A new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa potential and Hellmann potential. Chinese Physics C, 2015, 39(6): 063106. doi: 10.1088/1674-1137/39/6/063106
[7]	TIAN Wei-Zhao , CAO Lu , YANG You-Chang , CHEN Hong . Bottomonium states versus recent experimental observations in the QCD-inspired potential model. Chinese Physics C, 2013, 37(8): 083101. doi: 10.1088/1674-1137/37/8/083101
[8]	CHEN Yan-Jun . Quasielastic electron scattering in a derivative coupling model with relativistic random phase approximation. Chinese Physics C, 2013, 37(7): 074101. doi: 10.1088/1674-1137/37/7/074101
[9]	LI Ming-Tao , DONG Yu-Bing , ZHANG Zong-Ye . A study of meson-meson potential in the chiral quark model. Chinese Physics C, 2011, 35(7): 622-628. doi: 10.1088/1674-1137/35/7/005
[10]	LIU Xiang . Derivation of a 1/r² potential term for QQ in a potential model. Chinese Physics C, 2010, 34(9): 1482-1484. doi: 10.1088/1674-1137/34/9/078
[11]	ZHANG Zi-Zhen . Relativistic description of single-particle resonances via phase shift analysis. Chinese Physics C, 2009, 33(3): 187-190. doi: 10.1088/1674-1137/33/3/005
[12]	Deng Shenghua , Wang Enke , Li Jiarong . Two-Loop Effective Potential of the Non-topological Soliton Model at Finite Temperature. Chinese Physics C, 1995, 19(S3): 289-304.
[13]	Chen Xingqu , Xing Zheng . Analysis of Superdeformed Bands in the Particle-Rotor Model. Chinese Physics C, 1994, 18(Z1): 95-102.
[14]	Feng Dachun , Liu Wenqin , Ma Zhongyu . Analysis of Relativistic Optical Potential for Medium-Energy Protons. Chinese Physics C, 1993, 17(S1): 81-88.
[15]	SIONG He-Jin , LI Jia-Rong . Soliton Star in FL-non-topological Soliton Model and Its Behavior at High Temperature. Chinese Physics C, 1992, 16(7): 600-608.
[16]	Lou Senyue , Ni Guangjiong . Variational Analysis of the Gross-Neveu Model at Zero and Finite Temperatures. Chinese Physics C, 1990, 14(S2): 145-153.
[17]	Yu Youwen , Shen Pengnian , Zhang Zongye . Equivalent Meson Exchange Potential on Quark Model and N-N Scattering. Chinese Physics C, 1990, 14(S4): 377-380.
[18]	Yu Youwen , Shen Pengnian . The Effective Two-Meson-Exchange Potential Derived From the Quark-Antiquark Pair Creation Model. Chinese Physics C, 1989, 13(S2): 175-180.
[19]	Sun Changpu . Classical Model for Quantum Berry's Phase Factors. Chinese Physics C, 1989, 13(S1): 15-22.
[20]	Liu Baohua , Li Jiarong . The Mean-Field Analysis for Chiral Symmetry Phase Transition. Chinese Physics C, 1988, 12(S4): 373-378.

Access

Get Citation

SHU Song and LI Jia-Rong. Expanding the thermodynamical potential and analysis of the possible phase diagram of decon nement in the FL model[J]. Chinese Physics C, 2012, 36(4): 316-321. doi: 10.1088/1674-1137/36/4/004

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2011-08-02
Revised: 2011-07-28

Article Metric

Article Views(2191)
PDF Downloads(318)
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

Expanding the thermodynamical potential and analysis of the possible phase diagram of decon nement in the FL model

Received Date: 2011-08-02

Accepted Date: 2011-07-28

Available Online: 2012-04-05

Abstract: Decon nement phase transition is studied in the FL model at finite temperature and chemical potential. At MFT approximation, phase transition can only be first order in the whole μ-T phase plane. Using a Landau expansion, we further study the phase transition order and the possible phase diagram of decon nement. We discuss the possibilities of second order phase transitions in the FL model. From our analysis, if the cubic term in the Landau expansion could be cancelled by the higher order fluctuations, second order phase transition may occur. By an ansatz of the Landau parameters, we obtain a possible phase diagram with both the first and second order phase transitions, including the tri-critical point which is similar to that of the chiral phase transition.

HTML

Reference (1)

Expanding the thermodynamical potential and analysis of the possible phase diagram of decon nement in the FL model

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Expanding the thermodynamical potential and analysis of the possible phase diagram of decon nement in the FL model

HTML

目录