Formulation of relativistic dissipative fluid dynamics and its applications in heavy-ion collisions
arXiv:1408.0867
Abstract
Relativistic fluid dynamics finds application in astrophysics, cosmology and the physics of high-energy heavy-ion collisions. In this thesis, we present our work on the formulation of relativistic dissipative fluid dynamics within the framework of relativistic kinetic theory. We employ the second law of thermodynamics as well as the relativistic Boltzmann equation to obtain the dissipative evolution equations. We present a new derivation of the dissipative hydrodynamic equations using the second law of thermodynamics wherein all the second-order transport coefficients get determined uniquely within a single theoretical framework. An alternate derivation of the dissipative equations which does not make use of the two major approximations/assumptions namely, Grad's 14-moment approximation and second moment of Boltzmann equation, inherent in the Israel-Stewart theory, is also presented. Moreover, by solving the Boltzmann equation iteratively in a Chapman-Enskog like expansion, we have derived the form of second-order viscous corrections to the distribution function. Furthermore, a novel third-order evolution equation for shear stress tensor is derived. Finally, we generalize the collision term in the Boltzmann equation to include non-local effects. We find that the second-order dissipative equations derived using this modified Boltzmann equation contains all possible terms allowed by symmetry. In the case of one-dimensional scaling expansion, we demonstrate the numerical significance of these formulations on the evolution of the hot and dense matter created in ultra-relativistic heavy-ion collisions. We also study the effect of these new formulations on particle (hadron and thermal dilepton) spectra and femtoscopic radii.
163 Pages, 18 Figures, Ph.D. Thesis
References in corpus (23)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
- Equation of state and QCD transition at finite temperature
- 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
- A calculation of the bulk viscosity in SU(3) gluodynamics
- Dissipative Dynamics of Highly Anisotropic Systems
- Dissipative Hydrodynamics and Heavy Ion Collisions
- Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
- Recent results in relativistic heavy ion collisions: from ``a new state of matter'' to "the perfect fluid"
- The applicability of causal dissipative hydrodynamics to relativistic heavy ion collisions
- Resolving the HBT Puzzle in Relativistic Heavy Ion Collision
- Transport coefficients for bulk viscous evolution in the relaxation time approximation
- Origins of Bulk Viscosity at RHIC
- Instability of Boost-invariant hydrodynamics with a QCD inspired bulk viscosity
- Constraining relativistic viscous hydrodynamical evolution
- Elliptic flow at energies available at the CERN Large Hadron Collider: Comparing heavy-ion data to viscous hydrodynamic predictions
- Dilepton production from a viscous QGP
- Stress Tensor and Bulk Viscosity in Relativistic Nuclear Collisions
- Thermalization of a color glass condensate and review of the "Bottom-Up" scenario
- Thermal photons in QGP and non-ideal effects
- Relaxation-time approximation and relativistic third-order viscous hydrodynamics from kinetic theory
- Dilepton production in a schematic causal viscous hydrodynamics
- Relativistic hydrodynamics from Boltzmann equation with modified collision term