Rapidity decorrelation from hydrodynamic fluctuations

Sakai, Azumi; Murase, Koichi; Hirano, Tetsufumi

doi:10.1016/j.nuclphysa.2018.08.012

Cited by 9 publications

(7 citation statements)

References 84 publications

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“…The lack of a more quantitative description is mainly due to the challenges that have to be met when including fluctuations in to the standard models of heavy-ion collisions, see [69] for a recent review. For the fluid dynamical description it is rather straightforward to include criticality on the level of the equation of state [70][71][72], but the formulation of algorithms to treat intrinsic fluctuations in this framework remains a challenge [73][74][75][76][77][78][79][80][81][82]. For the microscopic transport models, where fluctuations are inherently present, the inclusion of a critical point remains complicated.…”

Section: Introductionmentioning

confidence: 99%

Diffusive dynamics of critical fluctuations near the QCD critical point

et al. 2019

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A quantitatively reliable theoretical description of the dynamics of fluctuations in non-equilibrium is indispensable in the experimental search for the QCD critical point by means of ultra-relativistic heavy-ion collisions. In this work we consider the fluctuations of the net-baryon density which becomes the slow, critical mode near the critical point. Due to net-baryon number conservation the dynamics is described by the fluid dynamical diffusion equation, which we extend to contain a white noise stochastic current. Including nonlinear couplings from the 3d Ising model universality class in the free energy functional, we solve the fully interacting theory in a finite size system. We observe that purely Gaussian white noise generates non-Gaussian fluctuations, but finite size effects and exact net-baryon number conservation lead to significant deviations from the expected behavior in equilibrated systems. In particular the skewness shows a qualitative deviation from infinite volume expectations. With this benchmark established we study the real-time dynamics of the fluctuations. We recover the expected dynamical scaling behavior and observe retardation effects and the impact of critical slowing down near the pseudo-critical temperature.

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Section: Introductionmentioning

confidence: 99%

Diffusive dynamics of critical fluctuations near the QCD critical point

et al. 2019

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“…Refs. [72,76,178,179]). The other one is called hydro-kinetic approach, which derives a set of deterministic evolution equations for the correlation functions of the fluctuations first, and then solves these evolution equations deterministically together with the hydrodynamic equations (see Refs.…”

Section: Hydrodynamic Fluctuationsmentioning

confidence: 99%

“…The regulation scheme may need to become more involved in future versions of dissipative hydrodynamics that include possibly large thermal and/or critical fluctuations in the dynamics (see e.g. [76,178]).…”

mentioning

confidence: 99%

Hydrodynamic description of the baryon-charged quark-gluon plasma

2021

Preprint

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One of the primary goals of nuclear physics is studying the phase diagram of Quantum Chromodynamics, where a hypothetical critical point serves as a landmark. A systematic model-data comparison of heavy-ion collisions at center-of-mass energies between 1 and 100 GeV per nucleon is essential for locating the critical point and the phase boundary between the deconfined quark-gluon plasma and the confined hadron resonance gas. At these energies the net baryon density of the system can be high and critical fluctuations can become essential in the presence of the critical point. Simulating their dynamical evolution thus becomes an indispensable part of theoretical modeling.In this thesis we first present the (3+1)-dimensional relativistic hydrodynamic code BEShydro, which solves the equations of motion of second-order Denicol-Niemi-Molnar-Rischke theory, including bulk and shear viscous components as well as baryon diffusion current. We then study the effects caused by the baryon diffusion on the longitudinal dynamics and on the phase diagram trajectories of fluid cells at different space-time rapidities of the system, and how they are affected by critical dynamics near the critical point. We finally explore the evolution of non-hydrodynamic slow processes describing long wavelength critical fluctuations near the critical point, by extending the conventional hydrodynamic description by coupling it to additional explicitly evolving slow modes, and their back-reaction to the bulk matter properties.

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“…of Eqs. (82,85) one can encounter numerical errors in regions where derivatives of the EoS change discontinuously, e.g. in the recently developed BEST EoS [74] which adds (using a certain prescription) a critical point and first-order phase transition to the LQCD-HRG interpolated EOS4.…”

Section: Root Finding With Baryon Currentmentioning

confidence: 99%

Section: Regulation Schemementioning

confidence: 99%

(3+1)-dimensional dissipative relativistic fluid dynamics at non-zero net baryon density

Du,

Heinz

2019

Preprint

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Heavy-ion collisions at center-of-mass energies between 1 and 100 GeV/nucleon are essential to understand the phase diagram of QCD and search for its critical point. At these energies the net baryon density of the system can be high, and simulating its evolution becomes an indispensable part of theoretical modeling. We here present the (3+1)-dimensional diffusive relativistic hydrodynamic code BEShydro which solves the equations of motion of second-order Denicol-Niemi-Molnar-Rischke (DNMR) theory, including bulk and shear viscous currents and baryon diffusion currents. BEShydro features a modular structure that allows to easily turn on and off baryon evolution and different dissipative effects and thus to study their physical effects on the dynamical evolution individually. An extensive set of test protocols for the code, including several novel tests of the precision of baryon transport that can also be used to test other such codes, is documented here and supplied as a permanent part of the code package.

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Rapidity decorrelation from hydrodynamic fluctuations

Cited by 9 publications

References 84 publications

Diffusive dynamics of critical fluctuations near the QCD critical point

Diffusive dynamics of critical fluctuations near the QCD critical point

Hydrodynamic description of the baryon-charged quark-gluon plasma

(3+1)-dimensional dissipative relativistic fluid dynamics at non-zero net baryon density

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