Resummed Relativistic Dissipative Hydrodynamics

Alalawi, Huda; Alqahtani, Mubarak; Strickland, Michael

doi:10.3390/sym14020329

Cited by 12 publications

(5 citation statements)

References 98 publications

(97 reference statements)

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“…We consider 5.02 TeV Pb-Pb collisions with the background temperature evolution given by 3+1D quasiparticle anisotropic hydrodynamics which was tuned to reproduce experimentally observed soft hadron spectra, elliptic flow, and HBT radii [72,73]. For this purpose, smooth optical Glauber initial conditions were used, and the resulting initial central temperature was T 0 = 630 MeV at τ 0 = 0.25 fm and the shear viscosity to entropy density ratio was η/s = 0.159.…”

Section: Resultsmentioning

confidence: 99%

Heavy quarkonium dynamics at next-to-leading order in the binding energy over temperature

Brambilla,

Escobedo,

Islam

et al. 2022

Preprint

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Using the potential non-relativistic quantum chromodynamics (pNRQCD) effective field theory, we derive a Lindblad equation for the evolution of the heavy-quarkonium reduced density matrix that is accurate to next-to-leading order (NLO) in the ratio of the binding energy of the state to the temperature of the medium. The resulting NLO Lindblad equation can be used to more reliably describe heavy-quarkonium evolution in the quark-gluon plasma at low temperatures compared to the leading-order truncation. For phenomenological application, we numerically solve the resulting NLO Lindblad equation using the quantum trajectories algorithm. To achieve this, we map the solution of the three-dimensional Lindblad equation to the solution of an ensemble of one-dimensional Schrödinger evolutions with Monte-Carlo sampled quantum jumps. Averaging over the Monte-Carlo sampled quantum jumps, we obtain the solution to the NLO Lindblad equation without truncation in the angular momentum quantum number of the states considered. We also consider the evolution of the system using only the complex effective Hamiltonian without stochastic jumps and find that this provides a reliable approximation for the ground state survival probability at LO and NLO. Finally, we make comparisons with our prior leading-order pNRQCD results and experimental data available from the ATLAS, ALICE, and CMS collaborations.

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Section: Resultsmentioning

confidence: 99%

Heavy quarkonium dynamics at next-to-leading order in the binding energy over temperature

Brambilla,

Escobedo,

Islam

et al. 2022

Preprint

Self Cite

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“…As demonstrated in ref. [20], this continues to be the case if one includes second-order viscous corrections, with only resummed dissipative schemes such as anisotropic hydrodynamics [64][65][66][67][68][69] being able to more reliably describe the earlytime features of all scaled moments (see in particular the improved schemes introduced in refs. [39,68]).…”

Section: General Momentsmentioning

confidence: 99%

Far-from-equilibrium attractors for massive kinetic theory in the relaxation time approximation

Alalawi

Strickland

2022

J. High Energ. Phys.

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We investigate whether early and late time attractors for non-conformal kinetic theories exist by computing the time-evolution of a large set of moments of the one-particle distribution function. For this purpose we make use of a previously obtained exact solution of the 0+1D boost-invariant massive Boltzmann equation in relaxation time approximation. We extend prior attractor studies of non-conformal systems by using a realistic mass- and temperature-dependent relaxation time and explicitly computing the effect of varying both the initial momentum-space anisotropy and initialization time on the time evolution of a large set of integral moments. Our findings are consistent with prior studies, which found that there is an attractor for the scaled longitudinal pressure, but not for the shear and bulk viscous corrections separately. We further present evidence that both late- and early-time attractors exist for all moments of the one-particle distribution function that contain greater than one power of the longitudinal momentum squared.

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“…In Ref. [35] we considered 5.02 TeV Pb-Pb collisions with the background temperature evolution given by 3+1D quasiparticle anisotropic hydrodynamics [64,65]. For solving the GKSL equation, we ignored dynamical quantum jumps and evolved with the singlet effective Hamiltonian.…”

Section: Resultsmentioning

confidence: 99%

“…[61], which implements a Monte Carlo quantum trajectories algorithm [62] for solving GKSL-type equations, was used to make phenomenological predictions for various heavy-ion collision bottomonium observ- [33][34][35]. For this purpose, the GKSL solver was coupled to a 3+1D viscous hydrodynamics code, which used smooth (optical) Glauber initial conditions [63][64][65]. Most recently, the OQS+pNRQCD framework was extended to next-to-leading order (NLO) in the binding energy over the temperature, allowing it to be applied at lower temperatures than the leading-order formalism [35].…”

Section: Introductionmentioning

confidence: 99%

Non-equilibrium evolution of quarkonium in medium in the open quantum system approach

Strickland

2022

EPJ Web Conf.

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In this proceedings contribution, I review recent work that aims to provide a more comprehensive and systematic understanding of bottomonium dynamics in the quark-gluon plasma using an open quantum system (OQS) approach that is applied in the framework of the potential non-relativistic QCD (pNRQCD) effective field theory and coupled to realistic hydrodynamical backgrounds that have been tuned to soft hadron observables. I review how the computation of bottomonium suppression can be reduced to solving a Gorini- Kossakowski-Sudarshan-Lindblad (GKSL) equation for the evolution of the bb̅ reduced density matrix, which includes both singlet and octet states plus medium-induced transitions between them at next-to-leading order (NLO) in the binding energy over temperature. Finally, I present comparisons of phenomenological predictions of the NLO OQS+pNRQCD approach and experimental data for bottomonium suppression and elliptic flow in LHC 5.02 TeV Pb-Pb collisions obtained using both smooth and fluctuating hydrodynamic initial conditions.

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Resummed Relativistic Dissipative Hydrodynamics

Cited by 12 publications

References 98 publications

Heavy quarkonium dynamics at next-to-leading order in the binding energy over temperature

Heavy quarkonium dynamics at next-to-leading order in the binding energy over temperature

Far-from-equilibrium attractors for massive kinetic theory in the relaxation time approximation

Non-equilibrium evolution of quarkonium in medium in the open quantum system approach

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