Hydrodynamical noise and Gubser flow

Yan, Li; Grönqvist, Hanna

doi:10.1007/jhep03(2016)121

Cited by 25 publications

(36 citation statements)

References 36 publications

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“…On the other hand, two-point auto-correlations of thermal fluctuations are determined by the dissipative corrections of the medium system through the flutucationdissipation relation [26],…”

Section: Medium Response In Higher Harmonic Ordersmentioning

confidence: 99%

A flow paradigm in heavy-ion collisions

Yan

2018

Chinese Phys. C

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The success of hydrodynamics in high energy heavy-ion collisions leads to a flow paradigm, to understand the observed features of harmonic flow in terms of the medium collective expansion with respect to initial state geometrical properties. In this review, we present some essential ingredients in the flow paradigm, including the hydrodynamic modeling, the characterization of initial state geometry and the medium response relations. The extension of the flow paradigm to small colliding systems is also discussed.

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“…On the other hand, two-point auto-correlations of thermal fluctuations are determined by the dissipative corrections of the medium system through the flutucationdissipation relation [26],…”

Section: Medium Response In Higher Harmonic Ordersmentioning

confidence: 99%

A flow paradigm in heavy-ion collisions

Yan

2018

Chinese Phys. C

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“…Additional corrections, which have not been systematically * yukinao.akamatsu@stonybrook.edu † aleksas.mazeliauskas@stonybrook.edu ‡ derek.teaney@stonybrook.edu included, arise from thermal fluctuations of the local energy and momentum densities and could be significant in nucleus-nucleus collision where only ∼ 20000 particles are produced. This has prompted a keen practical interest in the heavy ion community in simulating relativistic hydrodynamics with stochastic noise [5][6][7][8][9][10][11]. In a non-relativistic context such simulations have reached a fairly mature state [12][13][14].…”

Section: Introduction a Overviewmentioning

confidence: 99%

“…Thermal fluctuations are believed to be a small (but conceptually important) correction to non-fluctuating hydrodynamics [6][7][8]. In addition, thermal fluctuations can become significant close to the QCD critical point [9,18] and in smaller colliding systems such as proton-nucleus and proton-proton collisions [7], which show remarkable signs of collectivity [19].…”

Section: Introduction a Overviewmentioning

confidence: 99%

Kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion

2017

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We develop a set of kinetic equations for hydrodynamic fluctuations which are equivalent to nonlinear hydrodynamics with noise. The hydro-kinetic equations can be coupled to existing second order hydrodynamic codes to incorporate the physics of these fluctuations. We first show that the kinetic response precisely reproduces the renormalization of the shear viscosity and the fractional power (∝ ω 3/2 ) which characterizes equilibrium correlators of energy and momentum for a static fluid. Then we use the hydro-kinetic equations to analyze thermal fluctuations for a Bjorken expansion, evaluating the contribution of thermal noise from the earliest moments and at late times. In the Bjorken case, the solution to the kinetic equations determines the coefficient of the first fractional power of the gradient expansion (∝ 1/(τ T ) 3/2 ) for the expanding system. Numerically, we find that the contribution to the longitudinal pressure from hydrodynamic fluctuations is larger than second order hydrodynamics for typical medium parameters used to simulate heavy ion collisions.

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“…To begin it is useful to look at the mean square HBT radius from Eqs. (27)(28)(29). After shifting the variables of integration ξ i → ξ i + y we find that…”

Section: Numerical Resultsmentioning

confidence: 99%

Hydrodynamic fluctuations near a critical endpoint and Hanbury-Brown–Twiss interferometry

Plumberg

Kapusta

2017

Phys. Rev. C

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The field of high energy nuclear collisions has witnessed a surge of interest in the role played by hydrodynamic fluctuations. Hydrodynamic fluctuations may have significant effects on matter created in heavy-ion accelerators whose trajectories in the plane of temperature versus chemical potential pass near a possible critical endpoint. We extend previous studies to explore the impact of these fluctuations on Hanbury Brown-Twiss interferometry of identical hadrons. With an appropriately defined correlation function we find that the fluctuations increase substantially when the trajectory passes near a critical endpoint, and also displays a damped oscillatory behavior in the rapidity distance ∆y unlike that originating from initial-state fluctuations.

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Hydrodynamical noise and Gubser flow

Cited by 25 publications

References 36 publications

A flow paradigm in heavy-ion collisions

A flow paradigm in heavy-ion collisions

Kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion

Hydrodynamic fluctuations near a critical endpoint and Hanbury-Brown–Twiss interferometry

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