2016
DOI: 10.1016/j.nuclphysa.2016.02.014
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Anisotropic hydrodynamics for conformal Gubser flow

Abstract: We derive the equations of motion for a system undergoing boost-invariant longitudinal and azimuthally-symmetric transverse "Gubser flow" using leading-order anisotropic hydrodynamics. This is accomplished by assuming that the one-particle distribution function is ellipsoidallysymmetric in the momenta conjugate to the de Sitter coordinates used to parameterize the Gubser flow. We then demonstrate that the SO(3) q symmetry in de Sitter space further constrains the anisotropy tensor to be of spheroidal form. The… Show more

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Cited by 21 publications
(16 citation statements)
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“…Plugging the leading-order terms listed in Eqs. (27) or (29) into Eq. (17) gives an eightdimensional integral for the small ξ limit for the case of classical and quantum statistics, respectively.…”
Section: Matching To Rtamentioning
confidence: 99%
See 1 more Smart Citation
“…Plugging the leading-order terms listed in Eqs. (27) or (29) into Eq. (17) gives an eightdimensional integral for the small ξ limit for the case of classical and quantum statistics, respectively.…”
Section: Matching To Rtamentioning
confidence: 99%
“…Faced with the existence of an anisotropic dynamical attractor, it is natural to consider fluids that have intrinsic, and potentially large, momentum-space anisotropies. The framework of anisotropic hydrodynamics (aHydro) was introduced some years ago [17,18] to do just this and has since been extended and applied to QGP phenomenology [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] (for a recent aHydro review see Ref. [9]).…”
Section: Introductionmentioning
confidence: 99%
“…There has been a significant body of work produced since the two early aHydro papers [51,52], which has extended the aHydro formalism to full 3+1d dynamics, self-consistent inclusion of non-conformality of the QGP using a quasiparticle framework, etc. [56,60,[62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79]. For a recent aHydro review, we refer the reader to Ref.…”
Section: Introductionmentioning
confidence: 99%
“…The anisotropy tensor is traceless, i.e.ξ µ µ = 0, and orthogonal to the flow, i.e.û µξ µν = 0. Using the tensorΞ µν , one can construct an anisotropic distribution function for a conformal system [96,144] f (x,p) = f eq 1…”
Section: Leading-order Ahydro For Gubser Flowmentioning
confidence: 99%
“…These generalized frameworks have been applied successfully to heavy-ion collision phenomenology (see e.g. [87][88][89][90][91][92][93][94][95][96][97][98][99][100][101][102][103][104]).…”
Section: Introductionmentioning
confidence: 99%