Development of transverse flow at small and large opacities in conformal kinetic theory

Ambrus, Victor E.; Schlichting, S.; Werthmann, C.

doi:10.48550/arxiv.2109.03290

Cited by 3 publications

(15 citation statements)

References 90 publications

(196 reference statements)

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“…when the particles undergo very few rescatterings, one can expect that f (t, x, p) will not depart much from a free-streaming distribution. This observation underlies a number of (semi-)analytical studies, in particular of anisotropic flow, in the few-collisions limit, using various approximations for the collision kernel [19][20][21][22][23][24][25][26][27].…”

Section: B Analytical Calculationsmentioning

confidence: 76%

“…In this paper, similar in that respect to other studies in the literature [19][20][21][22][24][25][26][27], we use a simplified semi-realistic geometry for the initial state for both our numerical and analytical investigations.…”

Section: Initial Distribution Functionmentioning

confidence: 99%

“…One possibility, which was adopted in a number of recent kinetic theory studies [22,[24][25][26][27], is to consider the Fourier harmonics of the transverse energy distribution. Using the terminology of Sect.…”

Section: E Alternative Measures Of Anisotropic Flowmentioning

confidence: 99%

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Early time behavior of spatial and momentum anisotropies in kinetic theory across different Knudsen numbers

Borghini¹,

Borrell²,

Roch³

2022

Preprint

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We investigate the early time development of the anisotropic transverse flow and spatial eccentricities of a fireball with various particle-based transport approaches using a fixed initial condition. In numerical simulations ranging from the quasi-collisionless case to the hydrodynamic regime, we find that the onset of vn and of related measures of anisotropic flow can be described with a simple powerlaw ansatz, with an exponent that depends on the amount of rescatterings in the system. In the few-rescatterings regime we perform semi-analytical calculations, based on a systematic expansion in powers of time and the cross section, which can reproduce the numerical findings.

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Section: B Analytical Calculationsmentioning

confidence: 76%

Section: Initial Distribution Functionmentioning

confidence: 99%

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Early time behavior of spatial and momentum anisotropies in kinetic theory across different Knudsen numbers

Borghini¹,

Borrell²,

Roch³

2022

Preprint

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show abstract

“…This has led to a renewed interest in alternative descriptions of collective flow, in particular in kinetic-theory models. In this framework, a number of recent studies investigated anisotropic flow for setups with a simplified initial geometry [7][8][9][10][11][12][13] to put aside the uncertainties in the initial state of actual small systems -, revisiting and extending earlier approaches [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

“…The time evolution of anisotropic flow and spatial characteristics of the system created in heavy-ion collisions has already been studied before, either in fluiddynamical [18][19][20][21] or transport [13,15] calculations, extended over the whole system lifetime, yet always for specific initial conditions. In contrast, it was found in Ref.…”

Section: Introductionmentioning

confidence: 99%

Early time behavior of spatial and momentum anisotropies in a kinetic approach to nuclear collisions

Borrell,

Borghini

2021

Preprint

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We derive a general formula for the early time dependence of a phase space distribution evolving according to the kinetic Boltzmann equation. Assuming that the early evolution of the system created in high-energy nuclear collisions can be described by kinetic theory, we calculate the scaling behaviors for the onset of various characteristics of the transverse dynamics. In particular, we show that the scaling behavior of the anisotropic flow coefficients vn at early times does not depend on the details of the collision kernel or the system composition, while at the same time it differs from the prediction of fluid dynamics.

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On differences between even and odd anisotropic-flow harmonics in non-equilibrated systems

et al. 2023

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To assess how anisotropic transverse flow is created in a system out of equilibrium, we compare several kinetic-theoretical models in the few-rescatterings regime. We compare the flow harmonics $$v_n$$ v n from three types of transport simulations, with either $$2\rightarrow 2$$ 2 → 2 or $$2\rightarrow 0$$ 2 → 0 collision kernels and in the former case allowing the particles to rescatter several times or not, and from analytical calculations neglecting the gain term of the Boltzmann equation. We find that the even flow harmonics are similar in all approaches, while the odd ones differ significantly. This suggests that while even $$v_n$$ v n harmonics may to a large extent be due to the anisotropic escape probability of particles, this is not the predominant mechanism underlying the odd $$v_n$$ v n coefficients.

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Development of transverse flow at small and large opacities in conformal kinetic theory

Cited by 3 publications

References 90 publications

Early time behavior of spatial and momentum anisotropies in kinetic theory across different Knudsen numbers

Early time behavior of spatial and momentum anisotropies in kinetic theory across different Knudsen numbers

Early time behavior of spatial and momentum anisotropies in a kinetic approach to nuclear collisions

On differences between even and odd anisotropic-flow harmonics in non-equilibrated systems

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