Relativistic Dissipative Hydrodynamics: A Minimal Causal Theory
arXiv:hep-ph/0609117 · doi:10.1103/PhysRevC.75.034909
Abstract
We present a new formalism for the theory of relativistic dissipative hydrodynamics. Here, we look for the minimal structure of such a theory which satisfies the covariance and causality by introducing the memory effect in irreversible currents. Our theory has a much simpler structure and thus has several advantages for practical purposes compared to the Israel-Stewart theory (IS). It can readily be applied to the full three-dimensional hydrodynamical calculations. We apply our formalism to the Bjorken model and the results are shown to be analogous to the IS.
25 pages, 2 figures, Phys. Rev. C in press
References in corpus (19)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
- Why does the Quark-Gluon Plasma at RHIC behave as a nearly ideal fluid ?
- Collective Flow signals the Quark Gluon Plasma
- Causal Theories of Dissipative Relativistic Fluid Dynamics for Nuclear Collisions
- Perfect Fluidity of the Quark Gluon Plasma Core as Seen through its Dissipative Hadronic Corona
- Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions
- Dissipative Hydrodynamics and Heavy Ion Collisions
- Dissipative hydrodynamics for viscous relativistic fluids
- Effective Dissipation and Turbulence in Spectrally Truncated Euler Flows
- Topics on Hydrodynamic Model of Nucleus-Nucleus Collisions
- Smoothed Particle Hydrodynamics for Relativistic Heavy Ion Collisions
- Causal Diffusion and the Survival of Charge Fluctuations in Nuclear Collisions
- Dissipative hydrodynamics in 2+1 dimension
- Incorporating Memory Effects in Phase Separation Processes
- Microscopic Derivation of Causal Diffusion Equation using Projection Operator Method
- Transverse flow in relativistic viscous hydrodynamics
- Phenomenological approach to the critical dynamics of the QCD phase transition revisited
Cited by in corpus (72)
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- Relativistic Dissipative Hydrodynamic Equations at the Second Order for Multi-Component Systems with Multiple Conserved Currents
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- Ultraviolet energy dependence of particle production sources in relativistic heavy-ion collisions
- A systematic study of exact solutions in second-order conformal hydrodynamics
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- Near Zone Navier-Stokes Analysis of Heavy Quark Jet Quenching in an =4 SYM Plasma
- Extensivity of Irreversible Current and Stability in Causal Dissipative Hydrodynamics
- Dissipative hydrodynamics and heavy ion collisions
- Modification of Eckart theory of relativistic dissipative fluid by introducing extended matching conditions
- Multiplicity, mean , -spectra and elliptic flow of identified particles in Pb+Pb collisions at LHC
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- Causal hydrodynamic fluctuations in non-static and inhomogeneous backgrounds
- Shear viscosity, Bulk viscosity and Relaxation Times of Causal Dissipative Relativistic Fluid-Dynamics at Finite Temperature and Chemical Potential
- Linearized dispersion relations in viscous relativistic hydrodynamics
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- A thermodynamic approach to the relaxation of viscosity and thermal conductivity
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- Comparing the first and second order theories of relativistic dissipative fluid dynamics using the 1+1 dimensional relativistic flux corrected transport algorithm
- Pseudo-rapidity distribution from a perturbative solution of viscous hydrodynamics for heavy ion collisions at RHIC and LHC
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- Relativistic Heavy Ion Collisions: Viscous Hydrodynamic Simulations and Final State Interactions
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- Relativistic second-order dissipative hydrodynamics from Zubarev's non-equilibrium statistical operator
- Spectral eigenfunction decomposition of a Fokker-Planck operator for relativistic heavy-ion collisions