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The Effect of Second Order Dissipation on the Sound Velocity in Quasi-QCD Plasma Using the Effective Potential of the Linear Sigma Model

Davoudi, Zohreh | 2009

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 39728 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Sadooghi, Neda
  7. Abstract:
  8. The heavy ion collision experiments are in progress in order to investigate how the Universe has evolved after the Big Bang. The recent observations show that a nearly perfect fluid is produced after heavy ion collisions. An appropriate incorporation of the relativistic hydrodynamics and the field theory would help us to describe the dynamics of QCD (Quantum Chromodynamics) matter under extreme conditions, and to survey the expected phase transitions. The majority of efforts to investigate the characteristics of the QCD plasma are devoted to an ideal, non-dissipative one. To get the results which are highly in accordance with the experiment, it is necessary to bring also in mind the role of dissipation, particularly the second order dissipation, because the first order dissipation will result in instabilities and causality violation. We were to couple the field theory and the hydrodynamics of the dissipative fluid in such a way that the effect of second order dissipative coefficients in addition to the effect of the fields will emerge in the properties of the quark-gluon plasma (QGP) such as sound velocity. In this thesis, after deriving the thermodynamical potential using the effective potential of the linear sigma model, we will study the effect of second order dissipation on the sound velocity in the QGP and its variation near the chiral phase transition.
  9. Keywords:
  10. Sound Velocity ; Heavy Ions Collision Experiment ; Relativistic Hydrodynamics ; Second Order Dissipation ; Quantum Chromodynamics (QCP)Plasma ; Linear Sigma Model ; Chiral Phase Transition

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