Relativistic Dissipative Hydrodynamic Equations at the Second Order for Multi-Component Systems with Multiple Conserved Currents
arXiv:1003.3087 · doi:10.1016/j.nuclphysa.2010.08.002
Abstract
We derive the second order hydrodynamic equations for the relativistic system of multi-components with multiple conserved currents by generalizing the Israel-Stewart theory and Grad's moment method. We find that, in addition to the conventional moment equations, extra moment equations associated with conserved currents should be introduced to consistently match the number of equations with that of unknowns and to satisfy the Onsager reciprocal relations. Consistent expansion of the entropy current leads to constitutive equations which involve the terms not appearing in the original Israel-Stewart theory even in the single component limit. We also find several terms which exhibit thermal diffusion such as Soret and Dufour effects. We finally compare our results with those of other existing formalisms.
18 pages, no figures; title changed, to appear in Nucl. Phys. A
References in corpus (41)
- Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
- Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
- Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
- The PHOBOS Perspective on Discoveries at RHIC
- Nonlinear Fluid Dynamics from Gravity
- Radial and elliptic flow at RHIC: further predictions
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Flow at the SPS and RHIC as a Quark Gluon Plasma Signature
- Elliptic Flow of Identified Hadrons in Au+Au Collisions at sqrt(s_NN) = 200 GeV
- Azimuthal anisotropy in Au+Au collisions at sqrtsNN = 200 GeV
- Particle-type dependence of azimuthal anisotropy and nuclear modification of particle production in Au+Au collisions at s(NN)**(1/2) = 200-GeV
- Collective flow and two-pion correlations from a relativistic hydrodynamic model with early chemical freeze out
- Hadronic dissipative effects on elliptic flow in ultrarelativistic heavy-ion collisions
- Elliptic flow at SPS and RHIC: from kinetic transport to hydrodynamics
- Elliptic flow from two- and four-particle correlations in Au + Au collisions at sqrt{s_{NN}} = 130 GeV
- Physics of Strongly coupled Quark-Gluon Plasma
- Scaling properties of azimuthal anisotropy in Au+Au and Cu+Cu collisions at sqrt(s_NN) = 200 GeV
- System Size, Energy, Pseudorapidity, and Centrality Dependence of Elliptic Flow
- Causal Theories of Dissipative Relativistic Fluid Dynamics for Nuclear Collisions
- Hydrodynamic Models for Heavy Ion Collisions
- Centrality dependence of multiplicity, transverse energy, and elliptic flow from hydrodynamics
- Transverse momentum and pseudorapidity distributions of charged hadrons in pp collisions at sqrt(s) = 0.9 and 2.36 TeV
- Identified Particle Elliptic Flow in Au+Au Collisions at GeV}
- Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions
- Centrality dependence of charged hadron and strange hadron elliptic flow from sqrt(s_NN) = 200 GeV Au+Au collisions
- Is early thermalization achieved only near midrapidity at RHIC ?
- Relativistic hydrodynamics for heavy-ion collisions
- Flow Measurements via Two-particle Azimuthal Correlations in Au + Au Collisions at sqrt(s_NN) = 130 GeV
- Causal hydrodynamics of gauge theory plasmas from AdS/CFT duality
- Effects of Bulk Viscosity at Freezeout
- First proton-proton collisions at the LHC as observed with the ALICE detector: measurement of the charged particle pseudorapidity density at = 900 GeV
- Pseudorapidity and centrality dependence of the collective flow of charged particles in Au+Au collisions at sqrt{s_NN} = 130 GeV
- Energy dependence of elliptic flow over a large pseudorapidity range in Au+Au collisions at RHIC
- Mass ordering of differential elliptic flow and its violation for phi mesons
- Relativistic Dynamics of Non-ideal Fluids: Viscous and heat-conducting fluids I. General Aspects and 3+1 Formulation for Nuclear Collisions
- Relativistic Dissipative Hydrodynamics: A Minimal Causal Theory
- Relativistic Dynamics of Non-ideal Fluids: Viscous and heat-conducting fluids II. Transport properties and microscopic description of relativistic nuclear matter
- Divergence-type nonlinear conformal hydrodynamics
- Saturation of azimuthal anisotropy in Au + Au collisions at sqrt(s_NN) = 62 - 200 GeV
- Improved Hydrodynamics from the AdS/CFT
- Effects of Bulk Viscosity on -Spectra and Elliptic Flow Parameter
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