Simple solutions of fireball hydrodynamics for self-similar elliptic flows

B. Lukacs; M. Weiner; S. V. Akkelin; T. Csorgo; Yu. M. Sinyukov

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Simple solutions of fireball hydrodynamics for self-similar elliptic flows

S. V. Akkelin, T. Csorgo, B. Lukacs, Yu. M. Sinyukov, M. Weiner

High Energy Physics - Phenomenology · Submitted 12 Dec 2000

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The authors' main claim Simple, self-similar, elliptic solutions of non-relativistic fireball hydrodynamics are presented, generalizing earlier results for spherically symmetric fireballs with Hubble flows and homogeneous temperature profiles.

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arXiv IDhep-ph/0012127 (version 3)

Pith ID23GX6S5R, Pith's permanent record of this paper and its review

CitationB. Lukacs, M. Weiner, S. V. Akkelin, T. Csorgo, Yu. M. Sinyukov. "Simple solutions of fireball hydrodynamics for self-similar elliptic flows." arXiv:hep-ph/0012127 (2000). https://pith.science/paper/23GX6S5R

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What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.88 · mentions code or data availability 0.02.

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Simple, self-similar, elliptic solutions of non-relativistic fireball hydrodynamics are presented, generalizing earlier results for spherically symmetric fireballs with Hubble flows and homogeneous temperature profiles. The transition from one dimensional to three dimensional expansions is investigated in an efficient manner.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Simple, self-similar, elliptic solutions of non-relativistic fireball hydrodynamics are presented, generalizing earlier results for spherically symmetric fireballs with Hubble flows and homogeneous temperature profiles.	contribution 1.00	0.89	0.57	asserted 1.00
s1	The transition from one dimensional to three dimensional expansions is investigated in an efficient manner.	contribution 0.85	0.82	0.14	asserted 0.95

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Original abstract

Simple, self-similar, elliptic solutions of non-relativistic fireball hydrodynamics are presented, generalizing earlier results for spherically symmetric fireballs with Hubble flows and homogeneous temperature profiles. The transition from one dimensional to three dimensional expansions is investigated in an efficient manner.

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4 arXiv papers cite this in 7 sentences

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Uses its method or tool 1 paper

[ref] , we study the following combination: F = 1/2 ∂_t^2 ( α^2 R^2 + β^2 Y^2 ) = ∂_t ( α^2 R Ṙ + β^2 Y Ẏ ) = α^2 Ṙ^2 + β^2 Ẏ^2 + α^2 R R̈ + β^2 Y Ÿ .

Rotation in an exact hydro model · Reduction to a Single Differential Equation · 0.99

Cites it as background 2 papers

Since Landau and Hwa-Bjorken solutions, several different forms of analytical solutions were proposed motivated by anticipated collective behaviour in relativistic heavy ion collisions [ref] .

Hadron momentum spectra from analytical solutions of relativistic hydrodynamics · Introduction · 0.80
Nonrelativistic models: Although relativistic effects are more than essential in high-energy experiments, the nonrelativistic case also deserves a brief summary here: the equations are much simper, and allow for more exact solutions [ref] .

QCD EoS, initial conditions and final state from relativistic hydrodynamics in heavy-ion collisions · Recent results · 0.92

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