Recent progress of nuclear liquid gas phase transition

NUCLEAR, HEAVY ION AND ATOMIC PHYSICS

Recent progress of nuclear liquid gas phase transition

MA Yu-Gang
SHEN Wen-Qing
Nuclear Science and TechniquesVol.15, No.1pp.4-29Published in print 01 Feb 2004
4800

Recent progress on nuclear liquid gas phase transition (LGPT) has been reviewed, especially for the signals of LGPT in heavy ion collisions. These signals include the power-law charge distribution, cluster emission rate, nuclear Zipf law, bimodality, the largest fluctuation of the fragments, Δ-scaling, caloric curve, phase coexistence diagram, critical temperature, critical exponent analysis, negative specific heat capacity and spinodal instability etc. The systematic works of the authors on experimental and theoretical LGPT are also introduced.

Nuclear liquid gas phase transitionFragment yield distributionFisher droplet modelZipf-type lawFluctuation observablesCaloric curvePhase coexistence diagramCritical exponentSpinodal instability
References
[1] Lynden-Bell B. Physica A, 1999, 263: 293
[2] Bertsch G F. Science, 1997, 277: 1619
[3] Finn J E et al. Phys Rev Lett, 1982, 49: 1321
[4] Rivet M F et al. Phys Lett B, 1996, 388: 219
[5] Gross D H E. Rep Prog Phys, 1990, 53: 605 and references therein
[6] Pochodzalla J et al. Phys Rev Lett, 1995, 75: 1040
[7] Natowitz J B et al. Phys Rev C, 2002, 62: 034618
[8] Bondorf J P et al. Phys Rev C, 1998, 58: R27
[9] Gilkes M L et al. Phys Rev Lett, 1994, 73: 1590
[10] D'Agostino M et al. Phys Lett B, 2000, 473: 219
[11] Chomaz Ph et al. Phys Rev Lett, 2000, 85: 3587
[12] Schmidt M et al. Phys Rev Lett, 2001, 86: 1191
[13] Labastie M, Whetten R L. Phys Rev Lett, 1990, 65: 1567
[14] Borderie B et al. Phys Rev Lett, 2001, 86: 3252
[15] Botet R et al. Phys Rev Lett, 2001, 86: 3514
[16] Ma Y G. Phys Rev Lett, 1999, 83: 3617
[17] Ma Y G. Chin Phys Lett, 2000, 17: 340
[18] Elliott J B et al. Phys Rev Lett, 2002, 88: 042701; nucl-ex/0205004
[19] Elliott J B et al. Phys Rev C, 2003, 67: 24609
[20] Richert J, Wagner P. Phys Rep, 2001, 350: 1
[21] Das Gupta S, Mekjian A, Tsang M B. Adv Nucl Phys, 2001, 26: 91 and references therein
[22] Ma Y G, Zhang H Y, Shen W Q. Prog Phys (in Chinese), 2002, 22: 99
[23] Ring P, Schuck P. The nuclear many-body problem, New York: Springer-Verlag, 1980, 5
[24] Jaqaman H, Mekjian A Z, Zamick L. Phys Rev, 1983, C27: 2782
[25] Reif F. Fundamentals of statistical and thermal physics, New York: McGraw Hill, 1965, Chap. 8
[26] Gulminelli G et al. Phys Rev Lett, 2003, 91: 202701
[27] Raduta Al H, Raduta Ad R. Phys Rev Lett. 2001, 87: 202701
[28] De J N, Das Gupta S, Shlomo S et al. Phys Rev C, 1997, 55: R1641
[29] Stauffer D, Aharony A. Introduction to percolation theory, Taylor and Francis, London, 1992
[30] Bauer W, Dean D R, Mosel U et al. Phys Lett B, 1985, 150: 53
[31] Bauer W, Post U, Dean D R et al. Nucl Phys, 1986, A 452: 699
[32] Campi X, Desbois J. Invited contribution to the Topical Meeting on “Phase Space Approach to Nuclear Dynamics”, Trieste, 1985
[33] Campi X. J Phys A: Math Gen, 1988, 19: L917
[34] Bondorf J P, Botvina A S, Iljinov A S et al. Phys Rep, 1995, 257: 133
[35] Gross D H E. Phys Rep, 1997, 279: 119
[36] Randrup J, Koonin S E. Nucl Phys, 1987, A471: 355c
[37] Sa B H, Zheng Y M, Zhang X Z. Phys Rev C, 1989, 40: 2680
[38] Raduta A H, Raduta A R. Phys Rev, 1997, C55: 1344
[39] Mekjian A Z. Phys Rev Lett, 1977, 38: 640
[40] Bondorf J P, Donangelo R, Mishustin I M et al. Nucl Phys, 1985, A444: 460
[41] Yang C N, Lee T D. Phys Rev, 1952, 87: 410
[42] Kuo T T S, Ray S, Sharmanna J et al. Int J Mod Phys E, 1996, 5: 303
[43] Pan J C, Das Gupta S. Phys Rev C, 1996, 53: 1319
[44] Das Gupta S et al. Nucl Phys, 1997, A621: 897
[45] Carmona J M, Richert J, Tarancón A. Nucl Phys, 1998, A643: 115
[46] Chomaz Ph, Gulminelli F. Phys Lett B, 1999, 447: 221
[47] Ma Y G et al. Eur Phys J A, 1999, 4: 217
[48] Qian W L, Su R K. J Phys G, 2003, 29: 1023
[49] Metropolis M et al. J Chem Phys, 1953, 21: 1087
[50] Coniglio A, Klein E. J Phys A: Math Gen, 1980, 13: 2775
[51] Pan J, Das Gupta S. Phys Rev C, 1993, 53: 1319
[52] Stillinger F H, Weber T A. Phys Rev, 1985, 31: 5262
[53] Ma Y G. J Phys G, 2001, 27: 1
[54] Verlet L. Phys Rev, 1967, 159: 98
[55] Hirsch A S et al. Phys Rev C, 1984, 29: 508
[56] Minich R W et al. Phys Lett B, 1982, 118: 458
[57] Fisher M E. Rep Prog Phys, 1969, 30: 615
[58] Ma Y G, Wada R, Hagel K et al. (NIMROD Collaboration: Ma Y G, Wada R, Hagel K, Wang J, Keutgen T, Majka Z, Murray M, Qin L, Smith P, Natowitz J B, Alfaro R, Cibor J, Cinausero M, El Masri Y, Fabris D, Fioretto E, Kiekies A, Lunardon M, Makeev A, Marie N, Martin E, Martinez-Davalos A, Menchaca-Rocha A, Nebbia G, Prete G, Rizzi V, Ruangma A, Shetty D V, Souliotis G, Staszel P, Veselsky M, Viesti G, Winchester E M, Yennello S J), Arxiv/nucl-ex: 0303016 and long papers, to be published
[59] Ma Y G, Wada R, Hagel K et al.

(NIMROD Collaboration), Ann Report of Cyclotron Institute

, Texas A&M University, P. II-18, 2001
Baidu ScholarGoogle Scholar
[60] Gulminelli F, Chomaz Ph. Int J Mod Phys E, 1999, 8: 527
[61] Peaslee G F et al. Phys Rev C, 1994, 49: R2271
[62] Ogilvie C A et al. Phys Rev Lett, 1991, 67: 1214
[63] Tsang M B et al. Phys Rev Lett, 1993, 71: 1502
[64] Ma Y G, Shen W Q. Phys Rev C, 1995, 51: 710
[65] Ma Y G. Eur Phys J A, 1999, 6: 367
[66] Zipf GK. Human behavior and the principle of least effort, Addisson-Wesley Press, Cambridge, MA, 1949
[67] Turcotte D L. Rep Prog Phys, 1999, 62: 1377
[68] Pan J, Das Gupta S. Phys Rev C, 1998, 57: 1839
[69] Dabrowska A et al. Acta Phys Polo B, 2001, 32: 3099
[70] Ma G L, Ma Y G et al. to be published
[71] Cole A J. Phys Rev C, 2002, 65: 031601R
[72] Sugawa Y, Horiuch H. Prog The Phys, 2001, 105: 131
[73] Chomaz Ph, Gulminelli F, Duflot V. Phys Rev E, 2001, 64: 046114
[74] Borderie B. J Phys G, 2002, 28: R217
[75] Denbigh K G, Denbigh J S. Entropy in relation to uncomplete knowledge, Cambridge University Press, 1995
[76] Brogueira P et al. Phys Rev D, 1996, 53: 5283
[77] Ma G L, Ma Y G, Wang K et al. Chin Phys Lett, 2003, 20: 1013
[78] Stanley H E. Introduction to phase transitions and critical phenomena, Oxford University Press, Cambridge, England, 1992
[79] Hauger J A et al. Phys Rev C, 2000, 62: 024616
[80] Campi X, Krivine H. Z Phys, 1992, A344: 81
[81] Campi X, Krivine H. Nucl Phys, 1992, A545: 161c
[82] Dorso C O, Latora V C, Bonasera A. Phys Rev C, 1999, 60: 034606
[83] Elattari B, Richert J, Wagner P. Phys Rev Lett, 1992, 69: 45; Elattari B, Richert J, Wagner P. Nucl Phys, 1993, A560: 603
[84] Chomaz Ph, Gulminelli F. Nucl Phys, 1999, A647: 153
[85] Chomaz Ph, Duflot V, Gulminelli F. Phys Rev Lett, 2000, 85: 3587
[86] D'Agostino M et al. Phys Lett B, 2000, 473: 219
[87] D'Agostino M et al. arXiv:nucl-ex/0310013
[88] Botet R, Ploszajczak M. Phys Rev E, 2000, 62: 1825
[89] Frankland J D et al. ArXiv nucl-ex/0201020
[90] Campi X, Krivine H, Plagnol E. Phys Rev C, 1994, 50: R2680
[91] Albergo S et al. Nuovo Cimento A, 1985, 89: 1
[92] Campi X, Krivine H, Plagnol E. Phys Lett B, 1996, 385: 1
[93] Ma Y G et al. (INDRA Collaboration), Phys Lett B, 1997, 390: 41
[94] Borderie B et al. Phys Lett B, 1996, 388: 224
[95] Borderie B et al. Eur Phys J A, 1999, 6: 197
[96] Gulminelli F, Durand D. Nucl Phys A, 1997, 615: 117
[97] Hagel K et al. Nucl Phys, 1988, A486: 429
[98] Majka Z et al. Phys Rev C, 1997, 55: 2991
[99] Kwiatkowski K et al. Phys Lett B, 1998, 423: 21
[100] Cibor J et al. Phys Lett B, 2000, 473: 29
[101] Natowitz J B, Hagel K, Ma Y G et al. Phys Rev C, 2002, 66: 031601(R)
[102] Natowitz J B, Hagel K, Ma Y G et al. Phys Rev Lett, 2002, 89: 212701
[103] Liu M, Li Z X, Liu J F. Chin Phys Lett, 2003, 20: 1706
[104] Song H Q, Su R K. Phys Rev C, 1991, 44: 2505
[105] Zhang L L, Song H Q, Wang P et al. Phys Rev C, 1999, 59: 3292
[106] Levit S, Bonche P. Nucl Phys, 1985, A437: 426
[107] Besprovany J, Levitt S. Phys Lett B, 1989, 217: 1
[108] Zhang Y J, Su R K, Song H Q et al. Phys Rev C, 1996, 54: 1137
[109] Das A, Nayak R, Satpathy L. J Phys G, 1992, 18: 869
[110] Song H Q, Qian Z X, Su R K. Phys Rev C, 1993, 47: 2001
[111] Song H Q, Qian Z X, Su R K. Phys Rev C, 1994, 49: 2924
[112] Baldo M, Ferreira L S. Phys Rev C, 1999, 59: 682
[113] Bonche P, Levit S, Vautherin D. Nucl Phys, 1985, A436: 265
[114] Elliott J B et al. Phys Rev C, 2000, 62: 064603
[115] Youngblood D H, Clark H L, Lui Y W. Phys Rev Lett, 1999, 82: 691
[116] Ogul R, Botivina A S. Phys Rev C, 2002, 66: 051601(R)
[117] Karnaukhov V et al. Phys Rev C, 2003, 67: 011601(R)
[118] Guggenheim E A. J Chem Phys, 1945, 13: 253
[119] D'Agostino M et al. Nucl Phys, 1999, A650: 329
[120] Elliott J B et al. Phys Rev C, 1997, 55: 1319
[121] Elliott J B et al. Phys Rev C, 1994, 49: 3185
[122] Pouthas J et al. (INDRA collaboration), Nucl Instr Meth A, 1995, 357: 418
[123] Borderie B et al. arXiv:nucl-ex/0106007
[124] Moretto L G, Wozniak G J. Ann Rev Nucl Part Sci, 1993, 43: 379 and references therein
[125] Colonna M, Chomaz Ph, Ayik S. Phys Rev Lett, 2002, 88: 12
[126] Ayik S, Colonna M, Chomaz Ph. Phys Lett B, 1995, 353: 417
[127] Moretto L G et al. Phys Rev Lett, 1996, 77: 2634
[128] Tabacaru G et al. (INDRA collaboration), Proc of the XXXVIII Int Winter Meeting on Nuclear Physics, ed Iori I, Moroni A. Ricerca scientifica ed educazione permanente, Bormio, Italy, 2000, 433
[129] Borderie B et al. (INDRA collaboration), Phys Rev Lett, 2001, 86: 3252
[130] Le Neindre N et al. (INDRA collaboration), Proc of the XXXVIII Int Winter Meeting on Nuclear Physics, ed Iori I, Moroni A, Ricerca scientifica ed educazione permanente, Bormio, Italy, 2000, 404
[131] Chomaz Ph, Gulminelli F. Nucl Phys, 1999, A647: 153
[132] Li B A, Ko C M, Ren Z. Phys Rev Lett, 1997, 78: 1644
[133] Muller H, Serot B D. Phys Rev C, 1995, 52: 2072
[134] Samaddar S K, Das Gupta S. Phys Rev C, 2000, 61: 34610
[135] Ma Y G et al. Chin Phys Lett, 1999, 16: 256
[136] Ma Y G et al. Phys Rev, 1999, C60: 24607
[137] Dempsey J F et al. Phys Rev, 1996, C54: 1710
[138] Xu H S et al. Phys Rev Lett, 2000, 85: 716
[139] Shetty D V et al. (NIMROD Collaboration), Phys Rev C, 2003, 68: 054605