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Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions

Azwinndini Muronga

TL;DR

The Müller-Israel-Stewart second-order theory of relativistic imperfect fluids based on Grad's moment method is used to study the expansion of hot matter produced in ultrarelativistic heavy-ion collisions.

Abstract

The Müller-Israel-Stewart second order theory of relativistic imperfect fluids based on Grad's moment method is used to study the expansion of hot matter produced in ultra-relativistic heavy ion collisions. The temperature evolution is investigated in the framework of the Bjorken boost-invariant scaling limit. The results of these second-order theories are compared to those of first-order theories due to Eckart and to Landau and Lifshitz and those of zeroth order (perfect fluid) due to Euler.

Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions

TL;DR

The Müller-Israel-Stewart second-order theory of relativistic imperfect fluids based on Grad's moment method is used to study the expansion of hot matter produced in ultrarelativistic heavy-ion collisions.

Abstract

The Müller-Israel-Stewart second order theory of relativistic imperfect fluids based on Grad's moment method is used to study the expansion of hot matter produced in ultra-relativistic heavy ion collisions. The temperature evolution is investigated in the framework of the Bjorken boost-invariant scaling limit. The results of these second-order theories are compared to those of first-order theories due to Eckart and to Landau and Lifshitz and those of zeroth order (perfect fluid) due to Euler.

Paper Structure

This paper contains 11 equations, 4 figures.

Figures (4)

  • Figure 1: Proper time evolution of temperature for a RHIC scenario: $\tau_0$ = 0.13 fm/c and $T_0$ = 500 MeV .
  • Figure 2: Proper time evolution of temperature for a LHC scenario: $\tau_0$ = 0.07 fm/c and $T_0$ = 1000 MeV .
  • Figure 3: Proper time evolution of temperature for a RHIC scenario: $\tau_0$ = 1.0 fm/c and $T_0$ = 500 MeV.
  • Figure 4: Proper time evolution of temperature for a LHC scenario: $\tau_0$ = 1.0 fm/c and $T_0$ = 1000 MeV.