Dissipative hydrodynamics for multi-component systems

El, A.; Bouras, I.; Wesp, Christian; Xu, Zhe; Greiner, Carsten

doi:10.1140/epja/i2012-12166-6

Cited by 7 publications

(16 citation statements)

References 38 publications

(78 reference statements)

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“…Let us clarify the difference between our result and the previous attempts [49][50][51][52] to derive the second-order hydrodynamic equation for relativistic multi-component systems. In [49], the Israel-Stewart theory is simply extended to multicomponent systems and hence the resultant equation is not free from the drawbacks that the Israel-Stewart equation possessed, even apart from the shortcomings that the reactive effects are not included.…”

Section: B Hydrodynamic Equationcontrasting

confidence: 70%

Derivation of second-order relativistic hydrodynamics for reactive multicomponent systems

2015

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We derive the second-order hydrodynamic equation for reactive multi-component systems from the relativistic Boltzmann equation. In the reactive system, particles can change their species under the restriction of the imposed conservation laws during the collision process. Our derivation is based on the renormalization group (RG) method, in which the Boltzmann equation is solved in an organized perturbation method as faithfully as possible and possible secular terms are resummed away by a suitable setting of the initial value of the distribution function. The microscopic formulae of the relaxation times and the lengths are explicitly given as well as those of the transport coefficients for the reactive multi-component system. The resultant hydrodynamic equation with these formulae has nice properties that it satisfies the positivity of the entropy production rate and the Onsager's reciprocal theorem, which ensure the validity of our derivation.

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Section: B Hydrodynamic Equationcontrasting

confidence: 70%

Derivation of second-order relativistic hydrodynamics for reactive multicomponent systems

2015

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“…3 shows the same v 2 (p T ) calculation but with a lower T conv = 140 MeV. The qualitative picture is the same, but in this case the viscous suppression of v 2 is smaller in magnitude because, for the Navier-Stokes stresses (19) used here, flow gradients ∂ µ u ν ∼ 1/τ are smaller. The mass ordering is also stronger, which is expected because it is driven by m/T .…”

Section: B Pion-nucleon Gas and Elliptic Flowmentioning

confidence: 60%

“…Shear stress evolution in a particle mixture has also been studied in [19], albeit using a different approach based on imposing the second law of thermodynamics (entropy production). In that work, an approximate relation for partial shear stress ratios has also been obtained (cf.…”

Section: B Comparison To Nonlinear Transport With 0+1d Bjorken Expanmentioning

confidence: 99%

“…This version includes the fairly recent s95-p1 equation of state parameterization [23] by Huovinen and Petreczky that matches lattice QCD results to a hadron resonance gas. Because there is no dissipation in AZHYDRO, we estimate shear stress on the conversion hypersurface from gradients of the ideal flow fields using the Navier-Stokes formula (19), i.e., π µν = η s σ µν . This is in the same spirit as an early exploration of shear stress corrections by Teaney [24], except we use real hydrodynamic solutions instead of a parameterization.…”

Section: A Two-component Nonrelativistic System In Grad Approximationmentioning

confidence: 99%

“…The extremal value of Q is directly related to the shear viscosity. Comparison of (19) to (9) with (23) gives…”

Section: B Covariant Transport Theorymentioning

confidence: 99%

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Self-consistent conversion of a viscous fluid to particles

Molnár

Wolff

2017

Phys. Rev. C

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Comparison of hydrodynamic and "hybrid" hydrodynamics+transport calculations to heavy-ion data inevitably requires the conversion of the fluid to particles. For dissipative fluids the conversion is ambiguous without additional theory input complementing hydrodynamics. We obtain self-consistent shear viscous phase space corrections from linearized Boltzmann transport theory for a gas of hadrons. These corrections depend on the particle species, and incorporating them in Cooper-Frye freezeout affects identified particle observables. For example, with additive quark model cross sections, proton elliptic flow is larger than pion elliptic flow at moderately high pT in Au + Au collisions at RHIC. This is in contrast to Cooper-Frye freezeout with the commonly used "democratic Grad" ansatz that assumes no species dependence. Various analytic and numerical results are also presented for massless and massive two-component mixtures to better elucidate how species dependence arises. For convenient inclusion in pure hydrodynamic and hybrid calculations, Appendix G contains self-consistent viscous corrections for each species both in tabulated and parameterized form.

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A covariant action principle for dissipative fluid dynamics: from formalism to fundamental physics

Andersson

Comer

2015

Class. Quantum Grav.

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We present a new variational framework for dissipative general relativistic fluid dynamics. The model extends the convective variational principle for multi-fluid systems to account for a range of dissipation channels. The key ingredients in the construction are i) the use of a lower dimensional matter space for each fluid component, and ii) an extended functional dependence for the associated volume forms. In an effort to make the concepts clear, the formalism is developed step-by-step with model examples considered at each level. Thus we consider a model for heat flow, derive the relativistic Navier-Stokes equations and discuss why the individual dissipative stress tensors need not be spacetime symmetric. We argue that the new formalism, which notably does not involve an expansion away from an assumed equilibrium state, provides a conceptual breakthrough in this area of research. We also provide an ambitious list of directions in which one may want to extend it in the future. This involves an exciting set of problems, relating to both applications and foundational issues.

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Dissipative hydrodynamics for multi-component systems

Cited by 7 publications

References 38 publications

Derivation of second-order relativistic hydrodynamics for reactive multicomponent systems

Derivation of second-order relativistic hydrodynamics for reactive multicomponent systems

Self-consistent conversion of a viscous fluid to particles

A covariant action principle for dissipative fluid dynamics: from formalism to fundamental physics

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