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Collective phenomena in the early stages of relativistic heavy-ion collisions
Nuclear Theory · Submitted 3 Jul 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The following conclusions have been drawn: a) All studied observables are almost insensitive to the initial anisotropic stage provided the initial conditions of the evolution are properly readjusted, b) Complete thermalization of matter may take place only at the times of about 1 fm/c.
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The abstract, sentence by sentence
A recently developed framework of highly-anisotropic and strongly-dissipative hydrodynamics -- ADHYDRO -- has been introduced and used to analyze the space-time evolution of matter produced in ultra-relativistic heavy-ion collisions. The main goal of this analysis was to study the effect of initial highly-anisotropic stages on the final soft hadronic observables typically measured in the experiment. The study was done in the context of the heavy-ion measurements performed at RHIC (Relativistic Heavy Ion Collider) in Brookhaven National Laboratory. Starting from the general assumption about the form of the phase-space distribution function, thermodynamic properties of locally anisotropic systems of particles have been studied and the form of the generalized equation of state has been formulated. The dynamic equations determining the evolution of a highly-anisotropic fluid have been introduced. The form of the entropy source related to the mechanisms leading to thermalization of the system has been defined. In the simplest case of purely-longitudinal and boost-invariant expansion, different features of the model have been analyzed. Using the ADHYDRO model in the general (3+1)D and boost-invariant (2+1)D versions, different possible scenarios of early stages of heavy-ion collisions have been analyzed. The results of the ADHYDRO model have been compared to the results obtained from the reference, perfect-fluid hydrodynamic model -- LHYQUID. The results of the hydrodynamic models were coupled to the statistical Monte-Carlo model THERMINATOR. The following conclusions have been drawn: a) All studied observables are almost insensitive to the initial anisotropic stage provided the initial conditions of the evolution are properly readjusted, b) Complete thermalization of matter may take place only at the times of about 1 fm/c. In this way the early thermalization puzzle may be circumvented.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A recently developed framework of highly-anisotropic and strongly-dissipative hydrodynamics -- ADHYDRO -- has been introduced and used to analyze the space-time evolution of matter produced in ultra-relativistic heavy-ion collisions. | contribution 0.65 | 0.73 | 0.02 | asserted 1.00 |
| s1 | The main goal of this analysis was to study the effect of initial highly-anisotropic stages on the final soft hadronic observables typically measured in the experiment. | contribution 0.96 | 0.64 | 0.03 | asserted 0.94 |
| s2 | The study was done in the context of the heavy-ion measurements performed at RHIC (Relativistic Heavy Ion Collider) in Brookhaven National Laboratory. | background 0.67 | 0.29 | 0.01 | asserted 0.99 |
| s3 | Starting from the general assumption about the form of the phase-space distribution function, thermodynamic properties of locally anisotropic systems of particles have been studied and the form of the generalized equation of state has been formulated. | method 0.61 | 0.83 | 0.02 | asserted 1.00 |
| s4 | The dynamic equations determining the evolution of a highly-anisotropic fluid have been introduced. | method 0.70 | 0.83 | 0.02 | asserted 0.97 |
| s5 | The form of the entropy source related to the mechanisms leading to thermalization of the system has been defined. | method 0.63 | 0.85 | 0.02 | asserted 0.99 |
| s6 | In the simplest case of purely-longitudinal and boost-invariant expansion, different features of the model have been analyzed. | method 0.81 | 0.87 | 0.02 | asserted 0.85 |
| s7 | Using the ADHYDRO model in the general (3+1)D and boost-invariant (2+1)D versions, different possible scenarios of early stages of heavy-ion collisions have been analyzed. | method 0.79 | 0.92 | 0.03 | asserted 0.90 |
| s8 | The results of the ADHYDRO model have been compared to the results obtained from the reference, perfect-fluid hydrodynamic model -- LHYQUID. | method 0.97 | 0.84 | 0.02 | asserted 0.98 |
| s9 | The results of the hydrodynamic models were coupled to the statistical Monte-Carlo model THERMINATOR. | method 1.00 | 0.84 | 0.02 | asserted 1.00 |
| s10 | The following conclusions have been drawn: a) All studied observables are almost insensitive to the initial anisotropic stage provided the initial conditions of the evolution are properly readjusted, b) Complete thermalization of matter may take place only at the times of about 1 fm/c. | result 0.96 | 0.92 | 0.91 | asserted 0.69 |
| s11 | In this way the early thermalization puzzle may be circumvented. | interpretation 1.00 | 0.54 | 0.13 | hedged possibility 0.99 |
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The paper
Original abstract
A recently developed framework of highly-anisotropic and strongly-dissipative hydrodynamics -- ADHYDRO -- has been introduced and used to analyze the space-time evolution of matter produced in ultra-relativistic heavy-ion collisions. The main goal of this analysis was to study the effect of initial highly-anisotropic stages on the final soft hadronic observables typically measured in the experiment. The study was done in the context of the heavy-ion measurements performed at RHIC (Relativistic Heavy Ion Collider) in Brookhaven National Laboratory. Starting from the general assumption about the form of the phase-space distribution function, thermodynamic properties of locally anisotropic systems of particles have been studied and the form of the generalized equation of state has been formulated. The dynamic equations determining the evolution of a highly-anisotropic fluid have been introduced. The form of the entropy source related to the mechanisms leading to thermalization of the system has been defined. In the simplest case of purely-longitudinal and boost-invariant expansion, different features of the model have been analyzed. Using the ADHYDRO model in the general (3+1)D and boost-invariant (2+1)D versions, different possible scenarios of early stages of heavy-ion collisions have been analyzed. The results of the ADHYDRO model have been compared to the results obtained from the reference, perfect-fluid hydrodynamic model -- LHYQUID. The results of the hydrodynamic models were coupled to the statistical Monte-Carlo model THERMINATOR. The following conclusions have been drawn: a) All studied observables are almost insensitive to the initial anisotropic stage provided the initial conditions of the evolution are properly readjusted, b) Complete thermalization of matter may take place only at the times of about 1 fm/c. In this way the early thermalization puzzle may be circumvented.
Human review
How the literature uses it
2 arXiv papers cite this in 2 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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In this way, the final hadronic observables become insensitive to the early stage dynamics and the early thermalization puzzle may be circumvented.
Anisotropic hydrodynamics and the early-thermalization puzzle · 0.83
States a conflicting result 1 paper
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The thorough analysis shows that despite all the claims the present work has nothing to do with the thermalization process in relativistic heavy ion collisions.
Comment to the paper D. V. Anchishkin and S. N. Yezhov "Thermalization in Heavy-ion Collisions" · 0.88
Papers citing it · 1 sentence without a confident label
Cites it as background 1 paper
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A more self-contained presentation of the concepts of anisotropic hydrodynamics can be found, e.g., in Ref. [ref] .
Anisotropic hydrodynamics -- basic concepts · Introduction · 0.98
What it cites · 86 sentences without a confident label
Uses the method or tool of 8 papers
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we obtain the following decompositions (the method leading to Eqs. ([ref])–([ref]) is explained in Ref. [ref] ):
Dynamics of anisotropic plasma at the early stages of relativistic heavy-ion collisions · Moments of anisotropic distributions · 0.96
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In order to make a comparison with the experiment, we use the model coupled to the Monte-Carlo model of statistical hadronization [ref] as described in Chapter [ref].
Therminator: Thermal heavy-Ion generator · Non-central collisions · 1.00
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In order to make a comparison with the experiment, we use the model coupled to the Monte-Carlo model of statistical hadronization [ref] as described in Chapter [ref].
THERMINATOR 2: THERMal heavy IoN generATOR 2 · Non-central collisions · 1.00
Uses data or values from 6 papers
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Straightforward calculations done in this approach for the most central collisions at RHIC give the equilibration time of $2.6$ fm/c or even larger [ref] .
Does parton saturation at high density explain hadron multiplicities at RHIC ? · Evidence for early thermalization · 0.89
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Straightforward calculations done in this approach for the most central collisions at RHIC give the equilibration time of $2.6$ fm/c or even larger [ref] .
Thermalization of a color glass condensate and review of the "Bottom-Up" scenario · Evidence for early thermalization · 0.89
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The initial energy density in the center of the fireball, $ε_i$, is chosen in such a way as to reproduce the total experimental charged particle multiplicity $N_ch^exp= 5060 ±250$ [ref] for the centrality class $c=0-6$%.
The significance of the fragmentation region in ultrarelativistic heavy ion collisions · Constant initial momentum anisotropy · 0.99
Compares with 10 papers
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The results are plotted together with the experimental points from STAR [ref] and PHOBOS [ref] .
System-size independence of directed flow at the Relativistic Heavy-Ion Collider · Directed flow · 0.88
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The results are plotted together with the experimental points from STAR [ref] and PHOBOS [ref] .
Energy dependence of directed flow over a wide range of pseudorapidity in Au+Au collisions at RHIC · Directed flow · 0.88
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The model results obtained for the centrality $c=20-40$ % ($b=7.84$ fm) and with the time-scale parameter $τ_eq= 1.0$ are compared to the data from PHENIX [ref] .
Elliptic Flow of Identified Hadrons in Au+Au Collisions at sqrt(s_NN) = 200 GeV · Elliptic flow · 0.88
Cites as support 17 papers
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The main argument for such early equilibration comes from the observation that the space-time evolution of matter is very well explained by the relativistic hydrodynamics of perfect fluid [ref] or by viscous hydrodynamics with a small viscosity to entropy ratio [ref] .
Elliptic Flow from a Hybrid CGC, Full 3D Hydro and Hadronic Cascade Model · Evidence for early thermalization · 0.97
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The main argument for such early equilibration comes from the observation that the space-time evolution of matter is very well explained by the relativistic hydrodynamics of perfect fluid [ref] or by viscous hydrodynamics with a small viscosity to entropy ratio [ref] .
Initial condition for hydrodynamics, partonic free streaming, and the uniform description of soft observables at RHIC · Evidence for early thermalization · 0.97
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The main argument for such early equilibration comes from the observation that the space-time evolution of matter is very well explained by the relativistic hydrodynamics of perfect fluid [ref] or by viscous hydrodynamics with a small viscosity to entropy ratio [ref] .
Hydrodynamic description of ultrarelativistic heavy-ion collisions · Evidence for early thermalization · 0.97
Cites as background 8 papers
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Recently, it has been reconsidered by several authors [ref] .
Evolution of Anisotropy of Parton System from Relativistic Heavy-Ion Collisions · Relaxing the early thermalization assumption · 0.84
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On the basis of the QCD saturation mechanism incorporated in the CGC model, the bottom-up thermalization scenario [ref] was proposed.
Bottom-up thermalization in heavy ion collisions · Evidence for early thermalization · 0.86
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This type of the initial conditions has been analyzed, for example, in Refs. [ref] .
Chromodynamic Weibel instabilities in relativistic nuclear collisions · Glauber initial conditions for boost-invariant systems · 0.92
Discussion
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