Novel features of attractors and transseries in non-conformal Bjorken flows
arXiv:2206.00653 · doi:10.1103/PhysRevD.107.116004
Abstract
In this work we investigate the impact of conformal symmetry breaking on hydrodynamization of a far-from-equilibrium fluid. We find a new kind of transseries solutions for the non-conformal hydrodynamic equations of a longitudinal boost invariant expanding plasma. The new transseries solutions unveil a rich physical structure which arises due to the interplay of different physical scales. In the perfect fluid case the non-conformal speed of sound slows down the cooling of the temperature due to the emergence of logarithmic corrections that depends on the mass of the particle. These terms propagate into the perturbative and non-perturbative sectors of the transseries once viscous corrections are included. The logarithmic mass contributions increase the asymptotic value of the Knudsen number while decreasing the damping rate of the transient non-hydrodynamic modes and thus, yielding to an extremely slow hydrodynamization process where flow lines merge to their forward attractor at extremely late times. The early time free streaming expansion is modified and receives logarithmic mass corrections induced by the shear-bulk couplings. The global flow structure and numerical analyses carried out in our work demonstrate the existence of the early and late-time attractors for the shear viscous tensor and bulk viscous pressure.
arXiv comment37 pages (main text) + 11 pages (appendices + references), 12 figures. v2: Improved discussion, added new figure
References in corpus (44)
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- New theories of relativistic hydrodynamics in the LHC era
- Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
- QCD thermalization: Ab initio approaches and interdisciplinary connections
- Fluid Dynamics far from Local Equilibrium
- A Primer on Resurgent Transseries and Their Asymptotics
- An Introduction to Resurgence, Trans-Series and Alien Calculus
- Transport Coefficients of Bulk Viscous Pressure in the 14-moment approximation
- Hydrodynamization in kinetic theory: Transient modes and the gradient expansion
- Transport coefficients for bulk viscous evolution in the relaxation time approximation
- Fluid dynamics of out of equilibrium boost invariant plasmas
- Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow
- What attracts to attractors?
- Entropy Production, Hydrodynamics, and Resurgence in the Primordial Quark-Gluon Plasma from Holography
- Asymptotics of the instantons of Painleve I
- On the hydrodynamic attractor of Yang-Mills plasma
- Hydrodynamic attractors, initial state energy and particle production in relativistic nuclear collisions
- Resurgence in Extended Hydrodynamics
- Hydrodynamics, resurgence and trans-asymptotics
- The Resurgence of Instantons: Multi-Cut Stokes Phases and the Painleve II Equation
- Shear-bulk coupling in nonconformal hydrodynamics
- Hydrodynamic attractors in heavy ion collisions: a review
- Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography
- Emergence of hydrodynamical behavior in expanding quark-gluon plasmas
- Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow
- QCD Equation of State at Finite Chemical Potentials for Relativistic Nuclear Collisions
- Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma
- Non-conformal attractor in boost-invariant plasmas
- Onset of hydrodynamics for a quark-gluon plasma from the evolution of moments of distribution functions
- On non-conformal kinetic theory and hydrodynamics for Bjorken flow
- The large proper-time expansion of Yang-Mills plasma as a resurgent transseries
- On attractor and fixed points in Bjorken flows
- Hydrodynamic attractors in phase space
- Analytical attractor for Bjorken expansion
- Global flow structure and exact formal transseries of the Gubser flow in kinetic theory
- From moments of the distribution function to hydrodynamics: The non-conformal case
- Transasymptotics and hydrodynamization of the Fokker-Planck equation for gluons
- Bjorken flow attractors with transverse dynamics
- Universal behaviour, transients and attractors in supersymmetric Yang-Mills plasma
- Exponential Approach to the Hydrodynamic Attractor in Yang-Mills Kinetic Theory
- Hydrodynamic Attractor in a Hubble Expansion
- Toward Initial Conditions of Conserved Charges Part I: Spatial Correlations of Quarks and Antiquarks
- Constraining the initial stages of ultrarelativistic nuclear collisions
- Multiparticle Production at Mid-Rapidity in the Color-Glass Condensate
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- From moments of the distribution function to hydrodynamics: The non-conformal case
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- Resurgence for the non-conformal Bjorken flow with Fermi-Dirac and Bose-Einstein statistics
- Maximally Symmetric Boost-Invariant Solutions of the Boltzmann Equation in Foliated Geometries