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Prog. Theor. Phys. Vol. 82 No. 3 (1989) pp. 591-598

Hydrodynamical Expansion of Viscous QGP Fluid with Phase Transition

Youichi Akase, Schin Daté, Masashi Mizutani, Shin Muroya, Mikio Namiki and Mikita Yasuda

Department of Physics, Waseda University, Tokyo 169

(Received May 11, 1989)

Abstract:

Hydrodynamical expansion of a viscous fluid with phase transiton is numerically simulated within the thoretical framework of a semiphenomenological transport theory of the quark-gluon plasma with and without Bjorken's ansatz. Finally we find that the lifetime of the quark-gluon plasma becomes remarkably longer by virtue of the effect of phase transition and dissipation, and that Reynolds number grows up with fluid cooling. We also show that the scaling solution can effectively work even when viscosity and phase transition exist.

URL : http://ptp.ipap.jp/link?PTP/82/591/
DOI : 10.1143/PTP.82.591

[ Full Text PDF : FREE ACCESS (421K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. M. Mizutani, S. Muroya and M. Namiki, Phys. Rev. D37 (1988), 3033[APS].
   For a preliminary report on numerical simulations of the hydrodynamical expansion, see: M. Namiki, Proc. of the IX International Seminar on High Energy Physics Problems held at Dubna in June, 1988, to be published.
2. A. Hosoya and K.Kajantie, Nucl. Phys. B250 (1985), 666.
   P. Danielowicz and M. Gyulassy, Phys. Rev. D31 (1985), 53[APS].
   S. Gavin, Nucl. Phys. A435 (1985), 826.
3. S. Gottlieb, W. Liu, D. Toussaint, R. L. Renken and R. L. Sugar, Phys. Rev. D35 (1987), 3972[APS].
4. J. D. Bjorken, Phys. Rev. D27 (1983), 140[APS].
5. T. J. Humanic et al., NA35 Collaboration, Z. Phys. C38 (1988), 79.
   L. McLerran, Fermi Lab. Preprint FERMILAB-Conf-88/68-T, and references therein.
6. G. Baym, Nucl. Phys. A418 (1984), 525c.
7. G. Baym, in the Quark Matter '84 Proceedings in Lecture Note in Physics 221 (Springer, New York).
8. M. C. Chu, Phys. Rev. D34 (1986), 2764[APS].
   This paper also discuss viscous fluid with phase transition, but it seems that our method more systematically parametrizes thermodynamical quantity and viscosity with common parameters.
9. For the 1+3 dimensional perfect fluid with cylindrical symmetry, see, S. Kagiyama, A. Nakamura and A. Minaka, Prog. Theor. Phys. 76 (1983), 171[PTP].
10. Y. Akase, M. Mizutani, S. Muroya, M. Namiki and M. Yasuda in preparation.

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 85 No. 2 (1991) pp. 305-320 :

   Hydrodynamical Evolution of QGP-Fluid with Phase Transition and Particle Distribution in High Energy Nuclear Collisions

   Youichi Akase, Masashi Mizutani, Shin Muroya and Mikita Yasuda

2. Progress of Theoretical Physics Vol. 98 No. 1 (1997) pp. 129-142 :

   Thermal Photon Emission from a QGP Fluid

   Tetsufumi Hirano, Shin Muroya and Mikio Namiki

3. Progress of Theoretical Physics Vol. 113 No. 2 (2005) pp. 457-462 :

   A Calculation of the Viscosity to Entropy Ratio of a Hadronic Gas

   Shin Muroya and Nobuo Sasaki

4. Progress of Theoretical Physics Supplement No.120 (1995) pp. 209-216 :

   Numerical Analyses of CERN 200 GeV/A Heavy-Ion Collisions Based on a Hydrodynamical Model with Phase Transition

   Shin Muroya, Hiroki Nakamura and Mikio Namiki

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