Hydrodynamics of charge fluctuations and balance functions

Ling, Bo; Springer, Todd; Stephanov, Mikhail

doi:10.1103/physrevc.89.064901

Cited by 39 publications

(48 citation statements)

References 46 publications

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“…(15): when the diffusion constant and associated fluctuations in the current are set to zero then δñ ∼ 1/τ where the constant of proportionality could be anything including zero. In the limit τ Q → 0 one recovers the usual diffusion equation…”

Section: Diffusion In Boost Invariant Hydrodynamicsmentioning

confidence: 99%

“…In this paper we extend the study of [15] to the Cattaneo equation with finite τ Q . We will, however, simplify a few of the calculations of Ref.…”

Section: Introductionmentioning

confidence: 99%

“…We will, however, simplify a few of the calculations of Ref. [15] to focus on the essential physics provided by a finite speed of propagation. Now the fluctuations are no longer a delta-function in time.…”

Section: Introductionmentioning

confidence: 99%

“…As in Ref. [15] we will use 1+1 dimensional boost invariant hydrodynamics to carry out the calculations as far as possible analytically. Even then the analysis is more involved because of the memory effects arising from the colored noise.…”

Section: Introductionmentioning

confidence: 99%

“…Ordinary electric charge diffusion was applied to the balance functions, which measure twoparticle correlations in momentum space [11][12][13][14], in [15].…”

Section: Introductionmentioning

confidence: 99%

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Causal electric charge diffusion and balance functions in relativistic heavy-ion collisions

Kapusta

Plumberg

2018

Phys. Rev. C

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We study the propogation and diffusion of electric charge fluctuations in high energy heavy ion collisions using the Cattaneo form for the dissipative part of the electric current. As opposed to the ordinary diffusion equation this form limits the speed at which charge can propagate. Including the noise term in the current, which arises uniquely from the fluctuation-dissipation theorem, we calculate the balance functions for charged hadrons in a simple 1+1 dimensional Bjorken hydrodynamical model. Limiting the speed of propogation of charge fluctuations increases the height and reduces the width of these balance functions when plotted versus rapidity. We also estimate the numerical value of the associated diffusion time constant from AdS/CFT theory.

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Section: Diffusion In Boost Invariant Hydrodynamicsmentioning

confidence: 99%

“…In this paper we extend the study of [15] to the Cattaneo equation with finite τ Q . We will, however, simplify a few of the calculations of Ref.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Ordinary electric charge diffusion was applied to the balance functions, which measure twoparticle correlations in momentum space [11][12][13][14], in [15].…”

Section: Introductionmentioning

confidence: 99%

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Causal electric charge diffusion and balance functions in relativistic heavy-ion collisions

Kapusta

Plumberg

2018

Phys. Rev. C

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Electrical conductivity and charge diffusion in thermal QCD from the lattice

Aarts

Allton

Amato

et al. 2015

J. High Energ. Phys.

217

281

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We present a lattice QCD calculation of the charge diffusion coefficient, the electrical conductivity and various susceptibilities of conserved charges, for a range of temperatures below and above the deconfinement crossover. The calculations include the contributions from up, down and strange quarks. We find that the diffusion coefficient is of the order of 1/(2πT ) and has a dip around the crossover temperature. Our results are obtained with lattice simulations containing 2+1 dynamical flavours on anisotropic lattices. The Maximum Entropy Method is used to construct spectral functions from correlators of the conserved vector current.

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Rapidity window dependences of higher order cumulants and diffusion master equation

Kitazawa¹

2015

Nuclear Physics A

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We study the rapidity window dependences of higher order cumulants of conserved charges observed in relativistic heavy ion collisions. The time evolution and the rapidity window dependence of the nonGaussian fluctuations are described by the diffusion master equation. Analytic formulas for the time evolution of cumulants in a rapidity window are obtained for arbitrary initial conditions. We discuss that the rapidity window dependences of the non-Gaussian cumulants have characteristic structures reflecting the non-equilibrium property of fluctuations, which can be observed in relativistic heavy ion collisions with the present detectors. It is argued that various information on the thermal and transport properties of the hot medium can be revealed experimentally by the study of the rapidity window dependences, especially by the combined use, of the higher order cumulants. Formulas of higher order cumulants for a probability distribution composed of sub-probabilities, which are useful for various studies of non-Gaussian cumulants, are also presented.

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Hydrodynamics of charge fluctuations and balance functions

Cited by 39 publications

References 46 publications

Causal electric charge diffusion and balance functions in relativistic heavy-ion collisions

Causal electric charge diffusion and balance functions in relativistic heavy-ion collisions

Electrical conductivity and charge diffusion in thermal QCD from the lattice

Rapidity window dependences of higher order cumulants and diffusion master equation

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