New Exact Solution of the Relativistic Boltzmann Equation and its Hydrodynamic Limit

Denicol, Gabriel S.; Heinz, Ulrich; Martínez, M. Lucio; Noronha, Jorge; Strickland, Michael

doi:10.1103/physrevlett.113.202301

Cited by 148 publications

(233 citation statements)

References 42 publications

Supporting

Mentioning

229

Contrasting

Order By: Relevance

“…The four-vector z µ is orthogonal to u µ and in the LRF points in the longitudinal direction (identified with the direction of the dynamicallyevolving anisotropy in the system,n) [40]. 6 This assumption has been tested elsewhere by comparing the predictions of anisotropic hydrodynamics to exact solutions of the Boltzmann equation in a variety of special cases [42][43][44][45][46][47][48][49]. 7 We assume vanishing chemical potential gradients.…”

Section: (3+1)d Anisotropic Hydrodynamicsmentioning

confidence: 99%

Photon production from a nonequilibrium quark-gluon plasma

Bhattacharya¹,

Ryblewski

Strickland

2016

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We calculate leading-order medium photon yields from a quark-gluon plasma using (3+1)-dimensional anisotropic hydrodynamics. Non-equilibrium corrections to the photon rate are taken into account using a self-consistent modification of the particle distribution functions and the corresponding anisotropic hard-loop fermionic self-energies. We present predictions for the high-energy photon spectrum and photon elliptic flow as a function of transverse momentum, shear viscosity, and initial momentum-space anisotropy. Our findings indicate that high-energy photon production is sensitive to the assumed level of initial momentum-space anisotropy of the quark-gluon plasma. As a result, it may be possible to experimentally constrain the early-time momentumspace anisotropy of the quark-gluon plasma generated in relativistic heavy-ion collisions using high-energy photon yields.

show abstract

Section: (3+1)d Anisotropic Hydrodynamicsmentioning

confidence: 99%

Photon production from a nonequilibrium quark-gluon plasma

Bhattacharya¹,

Ryblewski

Strickland

2016

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

show abstract

“…One way to achieve this task is to compare the results of various hydrodynamic approaches [2][3][4][5][6][7][8][9][10][11][12], which differ by the number of terms included in the formalism and by the values of the transport coefficients, with the results of the underlying microscopic kinetic theory [13][14][15][16][17][18]. The latter is very often used as a staring point to derive the specific form of the evolution equations of relativistic hydrodynamics, however, several approximations done in such procedures may result in differences between the predictions of the kinetic theory and the hydrodynamic models constructed directly with its help.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic hydrodynamics for a mixture of quark and gluon fluids

et al. 2015

View full text Add to dashboard Cite

A system of equations for anisotropic hydrodynamics is derived that describes a mixture of anisotropic quark and gluon fluids. The consistent treatment of the zeroth, first and second moments of the kinetic equations allows us to construct a new framework with more general forms of the anisotropic phase-space distribution functions than those used before. In this way, the main difficiencies of the previous formulations of anisotropic hydrodynamics for mixtures have been overcome and the good agreement with the exact kinetic-theory results is obtained.

show abstract

“…Since the two original papers [33,34], there has been a great deal of progress in aHydro [35][36][37][38][39][40][41][42][43][44][45][46] including applications to cold atomic gases near the unitary limit [47,48]. In parallel, there have been efforts to construct exact solutions to the Boltzmann equation in some simple cases which can be used to test the efficacy of various dissipative hydrodynamics approaches, and it has been shown that aHydro most accurately reproduces all known exact solutions, even in the limit of very large η/s and/or initial momentum-space anisotropy [45,[49][50][51][52][53][54].A recent focus of research has been on turning aHydro into a practical phenomenological tool with a realistic equation of state (EoS) and self-consistent anisotropic hadronic freeze-out. In this paper, we present the first comparisons of experimental data with phenomenological results obtained using (1) generalized 3+1d aHydro including three momentum-space anisotropy parameters in the underlying distribution function, (2) the quasiparticle aHydro (aHydroQP) method for implementing a realistic EoS [43,46,55] and (3) anisotropic Cooper-Frye freezeout [46,56] using the same distribution form as was assumed for the dynamical equations.…”

mentioning

confidence: 99%

(3+1)D Quasiparticle Anisotropic Hydrodynamics for Ultrarelativistic Heavy-Ion Collisions

et al. 2017

Self Cite

View full text Add to dashboard Cite

We present the first comparisons of experimental data with phenomenological results from 3+1d quasiparticle anisotropic hydrodynamics (aHydroQP). We compare charged-hadron multiplicity, identified-particle spectra, identified-particle average transverse momentum, charged-particle elliptic flow, and identified-particle elliptic flow produced in LHC 2.76 TeV Pb+Pb collisions. The dynamical equations used for the hydrodynamic stage utilize non-conformal aHydroQP. The resulting aHydroQP framework naturally includes both shear and bulk viscous effects in addition to higherorder non-linear transport coefficients. The 3+1d aHydroQP evolution obtained is self-consistently converted to hadrons using anisotropic Cooper-Frye freezeout performed on a fixed-energy-density hypersurface. The final production and decays of the primordial hadrons are modeled using a customized version of THERMINATOR 2. In this first study, we utilized smooth Glauber-type initial conditions and a single effective freeze-out temperature TFO = 130 MeV with all hadronic species in full chemical equilibrium. With this rather simple setup, we find a very good description of many heavy-ion observables.PACS numbers: 12.38. Mh, 24.10.Nz, 25.75.Ld, 47.75.+f Ultrarelativistic heavy-ion collision experiments at the Relativistic Heavy Ion Collider and Large Hadron Collider (LHC) were designed to create and study the quarkgluon plasma (QGP). Relativistic hydrodynamics has been quite successful in describing the collective behavior observed in high-energy heavy-ion collisions [1-3] and the current focus of the relativistic hydrodynamics community is on further improvements of the models to include e.g. bulk viscous effects and higher-order transport coefficients (see [29][30][31] for recent reviews). The goal of the relativistic viscous hydrodynamics program is to constrain key properties of the QGP such as its initial energy density, initial pressure anisotropies, shear viscosity, bulk viscosity, etc. and to also provide the soft-background evolution necessary to compute QGPmodification of hard probes such as jets and heavy quark bound states.One of the issues faced by practitioners of traditional second-order viscous hydrodynamics approaches is that, at early times after the nuclear impact, the QGP possesses a high degree of momentum-space anisotropy in the fluid local rest frame, P T /P L 1. The magnitude of the resulting momentum-space anisotropy is large at early times after the initial nuclear impact and also near the transverse/longitudinal "edges" of the QGP at all times. In these spacetime regions, traditional viscous hydrodynamics is being pushed to its limits, resulting in potentially negative total pressures and violations of positivity of the one-particle distribution function [32].As a way to address these problems, it was suggested that one should reorganize the expansion of the one-particle distribution function around a leadingorder form which possesses intrinsic momentum-space anisotropies but still guarantees positivity [33,34]. This met...

show abstract

New Exact Solution of the Relativistic Boltzmann Equation and its Hydrodynamic Limit

Cited by 148 publications

References 42 publications

Photon production from a nonequilibrium quark-gluon plasma

Photon production from a nonequilibrium quark-gluon plasma

Anisotropic hydrodynamics for a mixture of quark and gluon fluids

(3+1)D Quasiparticle Anisotropic Hydrodynamics for Ultrarelativistic Heavy-Ion Collisions

Contact Info

Product

Resources

About