Non-conformal attractor in boost-invariant plasmas

Chattopadhyay, Chandrodoy; Jaiswal, Sunil; Du, Lingyan; Heinz, Ulrich; Pal, Subrata

doi:10.1016/j.physletb.2021.136820

Cited by 49 publications

(33 citation statements)

References 45 publications

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“…The attractors are also quite different in the three approaches. This is in contrast to other results obtained using Landau matching conditions [43,52,[80][81][82][83], where the attractors of the hydrodynamic theory match the one from kinetic theory. This suggests that the truncation method employed in the alternative matching conditions for the IS formalism has to be improved beyond the moments approximation implemented in Ref.…”

Section: Final Remarks and Discussioncontrasting

confidence: 99%

Perturbative approaches in relativistic kinetic theory and the emergence of first-order hydrodynamics

Rocha¹,

Denicol²,

Noronha³

2022

Preprint

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Hydrodynamics can be formulated in terms of a perturbative series in derivatives of the temperature, chemical potential, and flow velocity around an equilibrium state. Different formulations for this series have been proposed over the years, which consequently led to the development of various hydrodynamic theories. In this work, we discuss the relativistic generalizations of the perturbative expansions put forward by Chapman and Enskog, and Hilbert, using general matching conditions in kinetic theory. This allows us to describe, in a comprehensive way, how different out-of-equilibrium definitions for the hydrodynamic fields affect the development of the hydrodynamic perturbative series. We provide a perturbative method for systematically deriving the hydrodynamic formulation recently proposed by Bemfica, Disconzi, Noronha, and Kovtun (BDNK) from relativistic kinetic theory. The various transport coefficients that appear in BDNK (at first-order) are explicitly computed using a new formulation of the relaxation time approximation for the Boltzmann equation. Assuming Bjorken flow, we also determine the hydrodynamic attractors of BDNK theory and compare the overall hydrodynamic evolution obtained using this formulation with that generated by the Israel-Stewart equations of motion and also kinetic theory.

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Section: Final Remarks and Discussioncontrasting

confidence: 99%

Perturbative approaches in relativistic kinetic theory and the emergence of first-order hydrodynamics

Rocha¹,

Denicol²,

Noronha³

2022

Preprint

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“…and different theoretical [15][16][17][18][19][20][21][22][23] and phenomenological aspects of the emergence of hydrodynamic attractors [24][25][26][27] have been explored. See [28] for a recent review.…”

Section: Introductionmentioning

confidence: 99%

Exponential Approach to the Hydrodynamic Attractor in Yang-Mills Kinetic Theory

Du,

Heller,

Schlichting

et al. 2022

Preprint

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We use principal component analysis to study the hydrodynamic attractor in Yang-Mills kinetic theory undergoing the Bjorken expansion with Color Glass Condensate initial conditions. The late time hydrodynamic attractor is characterized by a single principal component determining the overall energy scale. How it is reached is governed by the disappearance of single subleading principal component characterizing deviations of the pressure anisotropy, the screening mass and the scattering rate. We find that for wide range of couplings the approach to the hydrodynamic attractor at late times is well described by an exponential. Its decay rate dependence on the coupling turns out to translate into a simple dependence on the shear viscosity to entropy density ratio.

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“…Regardless of its simplistic nature, the RTA turns out to be very useful and has been employed quite extensively to formulate relativistic dissipative hydrodynamics and derive the form of transport coefficients [5,[11][12][13][14][15][16]. Recently, it has also been employed to study the domain of applicability of hydrodynamics and study the hydrodynamization phenomena [17][18][19][20][21][22][23][24][25][26][27]. This simple model seems to capture the effective microscopic interaction for a wide range of theories.…”

Section: Introductionmentioning

confidence: 99%

Extended relaxation time approximation and relativistic dissipative hydrodynamics

Dash,

Bhadury,

Jaiswal

et al. 2021

Preprint

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Development of a new framework for derivation of order-by-order hydrodynamics from Boltzmann equation is necessary as the widely used Anderson-Witting formalism leads to violation of fundamental conservation laws when the relaxation-time depends on particle momenta, or in a hydrodynamic frame other than the Landau frame. We generalize an existing framework for consistent derivation of relativistic dissipative hydrodynamics from the Boltzmann equation with a momentum dependent relaxation-time by extending the Anderson-Witting relaxation-time approximation. We argue that the present framework is compatible with conservation laws and derive first-order hydrodynamic equations in landau frame. Further, we show that the transport coefficients, such as shear and bulk viscosity as well as charge and heat diffusion currents, have corrections due to the momentum dependence of relaxation-time compared to what one obtains from the Anderson-Witting approximation of the collision term. The ratio of these transport coefficients have been studied using a parametrized relaxation-time, and several novel and interesting scaling features are reported.

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Non-conformal attractor in boost-invariant plasmas

Cited by 49 publications

References 45 publications

Perturbative approaches in relativistic kinetic theory and the emergence of first-order hydrodynamics

Perturbative approaches in relativistic kinetic theory and the emergence of first-order hydrodynamics

Exponential Approach to the Hydrodynamic Attractor in Yang-Mills Kinetic Theory

Extended relaxation time approximation and relativistic dissipative hydrodynamics

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