One-dimensional hydrodynamical model including phase transition

Abstract

Analytical solution of one dimensional hydrodynamical model is derived, where phase transition from the QGP state to the hadronic state is effectively taken into account. The single particle rapidity distribution of charged π mesons observed in relativistic heavy ion collisions is analyzed by the model. Space-time development of the fluid is also investigated.

A Hydrodynamic Model Including Phase Transition and the Thermal Motion Induced Transverse Momentum Distributions in p-p Collisions at LHC Energies

“…In Section 2, a brief introduction is given to the theoretical model [27], presenting its analytical solutions. The solutions are then used in Section 3 to formulate the invariant multiplicity distributions of charged particles produced in collisions which are in turn compared with the measurements performed by LHC-CMS Collaboration in p-p collisions at LHC energies of 0.9 s = , 2.76 and 7 TeV [3], respectively.…”

“…Here, for the purpose of completion and application, we shall list the key ingredients of the adopted model [27].…”

“…, F y θ , and the first formula of Equation (6) is translated into the so called telegraphy equa- 4) The solution of Equation (10) for the sector of QGP is [27] ( ) …”

The Rapidity Distributions and the Thermalization Induced Transverse Momentum Distributions in Au-Au Collisions at RHIC Energies

“…In Section 2, a brief introduction is given to the theoretical model [25], presenting its analytical formulations. The solutions are then used in Section 3 to formulate the invariant multiplicity distributions of charged particles produced in heavy ion collisions which are in turn compared with the experimental measurements carried out by BRAHMS and PHENIX Collaboration in Au-Au collisions at RHIC energies of √ NN = 200 and 130 GeV [16][17][18][19][20].…”

“…There are a few schemes in dealing with such exact calculations. In this paper, the hydrodynamic model proposed by Suzuki is employed [25]. Besides the analyticity, the other typical feature of this model is that it, like some other models [26][27][28][29], incorporates the effects of phase transition into solutions.…”