The rarefaction of oblate shaped nuclear matter in heavy-ion collisions

De, J. N.; Garpman, S.; Sperber, Daniel; Bondorf, J.P.; Zimànýi, J.

doi:10.1016/0375-9474(78)90175-6

Cited by 14 publications

(13 citation statements)

References 9 publications

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“…The method based on self-similar flow initially introduced to find solutions for non-relativistic cases known as Buda-Lund approach [170,[425][426][427][428][429][430][431][432][433][434] has shown to be very powerful in studying the flow dynamics of non-relativistic hydrodynamics. Recently this approach was extended to include (rigid) rotation, and explicit solutions with rotation were found [435,436].…”

Section: Known Analytic Solutionsmentioning

confidence: 99%

Hydrodynamic approaches in relativistic heavy ion reactions

Souza

Koide²,

Kodama³

2016

Progress in Particle and Nuclear Physics

193

208

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We review several facets of the hydrodynamic description of the relativistic heavy ion collisions, starting from the historical motivation to the present understandings of the observed collective aspects of experimental data, especially those of the most recent RHIC and LHC results. In this report, we particularly focus on the conceptual questions and the physical foundations of the validity of the hydrodynamic approach itself. We also discuss recent efforts to clarify some of the points in this direction, such as the various forms of derivations of relativistic hydrodynamics together with the limitations intrinsic to the traditional approaches, variational approaches, known analytic solutions for special cases, and several new theoretical developments. Throughout this review, we stress the role of course-graining procedure in the hydrodynamic description and discuss its relation to the physical observables through the analysis of a hydrodynamic mapping of a microscopic transport model. Several questions to be answered to clarify the physics of collective phenomena in the relativistic heavy ion collisions are pointed out.

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Section: Known Analytic Solutionsmentioning

confidence: 99%

Hydrodynamic approaches in relativistic heavy ion reactions

Souza

Koide²,

Kodama³

2016

Progress in Particle and Nuclear Physics

193

208

View full text Add to dashboard Cite

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“…Here we present an analytic approach, which goes back to the data-motivated exact analytic solution of non-relativistic hydrodynamics found by Zimányi, Bondorf and Garpman (ZBG) in 1978 for low energy heavy ion collisions with spherical symmetry [11]. This solution has been extended to the case of elliptic symmetry by Zimányi and collaborators in [12]. In [13,14] a Gaussian parameterization has been introduced to describe the mass dependence of the effective temperature and the radius parameters of the two-particle Bose-Einstein correlation functions in high energy heavy ion collisions.…”

Section: Introductionmentioning

confidence: 97%

Simple Solutions of Relativistic Hydrodynamics for Longitudinally Expanding Systems

Csörgő

Grassi²,

Hama³

et al. 2004

Acta Physica Hungarica A) Heavy Ion Physics

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“…j E = j v = 0) was given for the spherical and cylindrical symmetric cases in refs. [ 9] and [ 10] more than 20 years ago, and a recent series of papers [ 12,13,5,7] generalized these solutions to various (Gaussian, donut shaped or oscillatory) density and corresponding temperature profiles, for various symmetry classes ranging from spherical to ellipsoidally symmetric cases. Ref.…”

mentioning

confidence: 99%

Inflation of Fireballs, the Gluon Wind and the Homogeneity of the HBT Radii at RHIC

Csörgő

Zimànýi

2003

Acta Physica Hungarica A) Heavy Ion Physics

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Abstract. We solve analytically the ellipsoidally expanding fireball hydrodynamics with source terms in the momentum and energy equations, using the non-relativistic approximation. We find that energy transport from high p t jets of gluons to the medium leads to a transient, exponential inflation of the fireballs created in high energy heavy ion collisions. In this transient, inflatory period, the slopes of the single particle spectra are exponentially increasing, while the HBT radius parameters are exponentially decreasing with time. This effect is shown to be similar to the development of the homogeneity of our Universe due to an inflatory period. Independently of the initial conditions, and the exact value of freeze-out time and temperature, the measurables (single particle spectra, the correlation functions, slope parameters, elliptic flow, HBT radii and cross terms) become time-independent during the late, non-inflatory stages of the expansion, and they satisfy new kind of scaling laws. If the expansion starts with a transient inflation caused by the gluon wind, it leads naturally to large transverse flows as well as to the the simultaneous equality, and scaling behaviour of the HBT radius parameters, R side ≈ R out ≈ R long ≈ t f T f /m. With certain relativistic corrections, the scaling limit is τ f T f /m t , where m t is the mean transverse mass of the pair.

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The rarefaction of oblate shaped nuclear matter in heavy-ion collisions

Cited by 14 publications

References 9 publications

Hydrodynamic approaches in relativistic heavy ion reactions

Hydrodynamic approaches in relativistic heavy ion reactions

Simple Solutions of Relativistic Hydrodynamics for Longitudinally Expanding Systems

Inflation of Fireballs, the Gluon Wind and the Homogeneity of the HBT Radii at RHIC

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