Azimuthal Anisotropy at the Relativistic Heavy Ion Collider: The First and Fourth Harmonics
Open accessAbstract
We report the first observations of the first harmonic (directed flow, v(1)) and the fourth harmonic (v(4)), in the azimuthal distribution of particles with respect to the reaction plane in Au+Au collisions at the BNL Relativistic Heavy Ion Collider (RHIC). Both measurements were done taking advantage of the large elliptic flow (v(2)) generated at RHIC. From the correlation of v(2) with v(1) it is determined that v(2) is positive, or in-plane. The integrated v(4) is about a factor of 10 smaller than v(2). For the sixth (v(6)) and eighth (v(8)) harmonics upper limits on the magnitudes are reported.
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The nuclear interaction should lead to a liquid-gas phase transition in nuclei.
“For this reason is was suggested that the nuclear interaction should lead to a liquid-gas phase transition in nuclei[153].”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [153]
The introduction (p. 2) discusses a possible change in matter compressibility if a quark-gluon plasma forms, not a liquid-gas phase transition in nuclei. The conclusions (p. 5) concern measured flow harmonics. Searches for “liquid-gas phase transition in nuclei” and “nuclear interaction liquid gas phase transition” found no passage addressing the cited claim. (LLM, conf=0.78)
Experimental — accuracy not yet measuredIf the equation of state of nuclear matter is of the Van der Waals type, collision experiments may bring excited nuclei into the spinodal region of the phase diagram, in which spinodal instabilities towards phase separation would lead to fragmentation of nuclei.
“This original work suggested that if the equation of state of nuclear matter is of the Van der Walls type, collision experiments may bring excited nuclei into the spinodal region of the phase diagram in which spinodal instabilities towards phase separation would lead to the spectacular fragmentation of nuclei.”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [153]
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- [20]N. Borghini, P.M. Dinh, and J.-Y. Ollitrault, Phys. Rev. C 64 , 054901 (2001); N. Borghini, P.M. Dinh, and J.Y. Ollitrault, nucl-ex/0110016. · arXiv
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Self-citationThree-dimensional jet tomography of twisted strongly coupled quark qluon plasmas
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Directed flow in Au+Au collisions at sNN=62.4 GeV
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Self-citationPseudorapidity dependence of anisotropic flows in relativistic heavy-ion collisions
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Self-citationInitial eccentricity fluctuations and their relation to higher-order flow harmonics
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Correlations of flow harmonics in 2.76A TeV Pb-Pb collisions
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Adam, J., Adamová, D., Aggarwal, M. M., Rinella, G. A., Agnello, M., Agrawal, N., Ahammed, Z., Ahmad, S., Ahn, S. U., Aiola, S., et al. (2016) · Physics Letters B · doi:10.1016/j.physletb.2016.07.017 · Cited by 58 · see citing works
“The figure also shows v4/v(2)2, which is commonly used to estimate the non-linear contribution to v4 from the elliptic anisotropy [5].”
Self-citationMeasurement of J/ψ Azimuthal Anisotropy in Au+Au Collisions at sNN=200 GeV
Adamczyk, L., Adkins, J. K., Agakishiev, G., Aggarwal, M. M., Ahammed, Z., Alekseev, I. G., Alford, J., Anson, C., Aparin, A., Arkhipkin, D., et al. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.052301 · Cited by 57 · see citing works
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Initial fluctuation effect on harmonic flows in high-energy heavy-ion collisions
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Self-citationEffects of flow fluctuations and partial thermalization on v4
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J/ψ elliptic and triangular flow in Pb-Pb collisions at $$ \sqrt{s_{\mathrm{NN}}} $$ = 5.02 TeV
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Wu, X.-Y., Pang, L.-G., Qin, G.-Y., & Wang, X.-N. (2018) · Physical Review C · doi:10.1103/physrevc.98.024913 · Cited by 46 · see citing works
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Anisotropies in momentum space at finite shear viscosity in ultrarelativistic heavy-ion collisions
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Extreme states of matter on Earth and in space
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Self-citationDirected Flow of Identified Particles in Au + Au Collisions at S N N = 200 GeV at RHIC
Adamczyk, L., Agakishiev, G., Aggarwal, M. M., Ahammed, Z., Alakhverdyants, A. V., Alekseev, I. G., Alford, J., Anderson, B. D., Anson, C., Arkhipkin, D., et al. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.202301 · Cited by 39 · see citing works
Self-citationProbe for the strong parity violation effects at RHIC with three particle correlations
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Self-citationSystem size dependence of elliptic flows in relativistic heavy-ion collisions
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Self-citationInfluence of initial fluctuations on geometry measures in relativistic U+U and Cu+Au collisions
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Dynamics of hot QCD matter — Current status and developments
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Self-citationExperimental study of local strong parity violation in relativistic nuclear collisions
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Initial partonic eccentricity fluctuations in a multiphase transport model
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Causal Viscous Hydrodynamics for Relativistic Heavy Ion CollisionsPreprint
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“One of the main discoveries of RHIC is that the medium displays strong collective dynamics [88,89,90,91], which, for the first time in the history of particle and nuclear physics, could be quantitatively well described by ideal hydrodynamics (7).”
BackgroundEvolution of pion HBT radii from RHIC to LHC— predictions from ideal hydrodynamics
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Flow in Au+Au collisions at RHIC
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Self-citationThe QGP Discovered at RHICPreprint
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Azimuthal anisotropy of π0 and η mesons in Au + Au collisions at sNN=200 GeV
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Counting hot/cold spots in quark-gluon plasma
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A reaction plane detector for PHENIX at RHIC
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First analysis of anisotropic flow with Lee–Yang zeros
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Self-citationScaling of anisotropy flows in intermediate energy heavy ion collisions
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Self-citationModel and parameter dependence of heavy quark energy loss in a hot and dense medium
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Review of Anisotropic Flow Correlations in Ultrarelativistic Heavy-Ion Collisions
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Anisotropy fluctuation and correlation in central α -clustered C12+Au197 collisions
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- Authors
- Adams, J., Adler, C., Aggarwal, M. M., Ahammed, Z., Amonett, J., Anderson, B. D., Anderson, M., Arkhipkin, D., Averichev, G. S., Badyal, S. K., Balewski, J., Barannikova, O., Barnby, L. S., Baudot, J., Bekele, S., Belaga, V. V., Bellwied, R., Berger, J., Bezverkhny, B. I., Bhardwaj, S., Bhaskar, P., Bhati, A. K., Bichsel, H., Billmeier, A., Bland, L. C., Blyth, C. O., Bonner, B. E., Botje, M., Boucham, A., Brandin, A., Bravar, A., Cadman, R. V., Cai, X. Z., Caines, H., Calderón de la Barca Sánchez, M., Carroll, J., Castillo, J., Castro, M., Cebra, D., Chaloupka, P., Chattopadhyay, S., Chen, H. F., Chen, Y., Chernenko, S. P., Cherney, M., Chikanian, A., Choi, B., Christie, W., Coffin, J. P., Cormier, T. M., Cramer, J. G., Crawford, H. J., Das, D., Das, S., Derevschikov, A. A., Didenko, L., Dietel, T., Dong, W. J., Dong, X., Draper, J. E., Du, F., Dubey, A. K., Dunin, V. B., Dunlop, J. C., Dutta Majumdar, M. R., Eckardt, V., Efimov, L. G., Emelianov, V., Engelage, J., Eppley, G., Erazmus, B., Estienne, M., Fachini, P., Faine, V., Faivre, J., Fatemi, R., Filimonov, K., Filip, P., Finch, E., Fisyak, Y., Flierl, D., Foley, K. J., Fu, J., Gagliardi, C. A., Gagunashvili, N., Gans, J., Ganti, M. S., Gaudichet, L., Germain, M., Geurts, F., Ghazikhanian, V., Ghosh, P., Gonzalez, J. E., Grachov, O., Grigoriev, V., Gronstal, S., Grosnick, D., Guedon, M., Guertin, S. M., Gupta, A., Gushin, E., Gutierrez, T. D., Hallman, T. J., Hardtke, D., Harris, J. W., Heinz, M., Henry, T. W., Heppelmann, S., Herston, T., Hippolyte, B., Hirsch, A., Hjort, E., Hoffmann, G. W., Horsley, M., Huang, H. Z., Huang, S. L., Humanic, T. J., Igo, G., Ishihara, A., Jacobs, P., Jacobs, W. W., Janik, M., Jiang, H., Johnson, I., Jones, P. G., Judd, E. G., Kabana, S., Kaneta, M., Kaplan, M., Keane, D., Khodyrev, V. Y., Kiryluk, J., Kisiel, A., Klay, J., Klein, S. R., Klyachko, A., Koetke, D. D., Kollegger, T., Kopytine, M., Kotchenda, L., Kovalenko, A. D., Kramer, M., Kravtsov, P., Kravtsov, V. I., Krueger, K., Kuhn, C., Kulikov, A. I., Kumar, A., Kunde, G. J., Kunz, C. L., Kutuev, R. K., Kuznetsov, A. A., Lamont, M. A. C., Landgraf, J. M., Lange, S., Lansdell, C. P., Lasiuk, B., Laue, F., Lauret, J., Lebedev, A., Lednický, R., LeVine, M. J., Li, C., Li, Q., Lindenbaum, S. J., Lisa, M. A., Liu, F., Liu, L., Liu, Z., Liu, Q. J., Ljubicic, T., Llope, W. J., Long, H., Longacre, R. S., Lopez-Noriega, M., Love, W. A., Ludlam, T., Lynn, D., Ma, J., Ma, Y. G., Magestro, D., Mahajan, S., Mangotra, L. K., Mahapatra, D. P., Majka, R., Manweiler, R., Margetis, S., Markert, C., Martin, L., Marx, J., Matis, H. S., Matulenko, Y. A., McShane, T. S., Meissner, F., Melnick, Y., Meschanin, A., Messer, M., Miller, M. L., Milosevich, Z., Minaev, N. G., Mironov, C., Mishra, D., Mitchell, J., Mohanty, B., Molnar, L., Moore, C. F., Mora-Corral, M. J., Morozov, D. A., Morozov, V., de Moura, M. M., Munhoz, M. G., Nandi, B. K., Nayak, S. K., Nayak, T. K., Nelson, J. M., Nevski, P., Nikitin, V. A., Nogach, L. V., Norman, B., Nurushev, S. B., Odyniec, G., Ogawa, A., Okorokov, V., Oldenburg, M., Olson, D., Paic, G., Pandey, S. U., Pal, S. K., Panebratsev, Y., Panitkin, S. Y., Pavlinov, A. I., Pawlak, T., Perevoztchikov, V., Perkins, C., Peryt, W., Petrov, V. A., Phatak, S. C., Picha, R., Planinic, M., Pluta, J., Porile, N., Porter, J., Poskanzer, A. M., Potekhin, M., Potrebenikova, E., Potukuchi, B. V. K. S., Prindle, D., Pruneau, C., Putschke, J., Rai, G., Rakness, G., Raniwala, R., Raniwala, S., Ravel, O., Ray, R. L., Razin, S. V., Reichhold, D., Reid, J. G., Renault, G., Retiere, F., Ridiger, A., Ritter, H. G., Roberts, J. B., Rogachevski, O. V., Romero, J. L., Rose, A., Roy, C., Ruan, L. J., Sahoo, R., Sakrejda, I., Salur, S., Sandweiss, J., Savin, I., Schambach, J., Scharenberg, R. P., Schmitz, N., Schroeder, L. S., Schweda, K., Seger, J., Seliverstov, D., Seyboth, P., Shahaliev, E., Shao, M., Sharma, M., Shestermanov, K. E., Shimanskii, S. S., Singaraju, R. N., Simon, F., Skoro, G., Smirnov, N., Snellings, R., Sood, G., Sorensen, P., Sowinski, J., Spinka, H. M., Srivastava, B., Stanislaus, S., Stock, R., Stolpovsky, A., Strikhanov, M., Stringfellow, B., Struck, C., Suaide, A. A. P., Sugarbaker, E., Suire, C., Šumbera, M., Surrow, B., Symons, T. J. M., Szanto de Toledo, A., Szarwas, P., Tai, A., Takahashi, J., Tang, A. H., Thein, D., Thomas, J. H., Tikhomirov, V., Tokarev, M., Tonjes, M. B., Trainor, T. A., Trentalange, S., Tribble, R. E., Trivedi, M. D., Trofimov, V., Tsai, O., Ullrich, T., Underwood, D. G., Van Buren, G., VanderMolen, A. M., Vasiliev, A. N., Vasiliev, M., Vigdor, S. E., Viyogi, Y. P., Voloshin, S. A., Waggoner, W., Wang, F., Wang, G., Wang, X. L., Wang, Z. M., Ward, H., Watson, J. W., Wells, R., Westfall, G. D., Whitten, C., Wieman, H., Willson, R., Wissink, S. W., Witt, R., Wood, J., Wu, J., Xu, N., Xu, Z., Xu, Z. Z., Yamamoto, E., Yepes, P., Yurevich, V. I., Zanevski, Y. V., Zborovský, I., Zhang, H., Zhang, W. M., Zhang, Z. P., Żołnierczuk, P. A., Zoulkarneev, R., Zoulkarneeva, J., & Zubarev, A. N.
- Affiliations
- University of Birmingham (GB)
- Goethe University Frankfurt (DE)
- Panjab University (IN)
- Variable Energy Cyclotron Centre (IN)
- Kent State University (US)
- University of California, Davis (US)
- Joint Institute for Nuclear Research (RU)
- University of Jammu (IN)
- Indiana University Bloomington (US)
- Purdue University West Lafayette (US)
- The Ohio State University (US)
- Wayne State University (US)
- Yale University (US)
- University of Rajasthan (IN)
- University of Washington (US)
- Brookhaven National Laboratory (US)
- Rice University (US)
- National Institute for Subatomic Physics (NL)
- Laboratoire de Physique Subatomique et des Technologies Associées (FR)
- National Research Nuclear University MEPhI (RU)
- Argonne National Laboratory (US)
- Lawrence Berkeley National Laboratory (US)
- Czech Academy of Sciences, Nuclear Physics Institute (CZ)
- University of Science and Technology of China (CN)
- University of California, Los Angeles (US)
- Creighton University (US)
- The University of Texas at Austin (US)
- University of California, Berkeley (US)
- Institute for High Energy Physics (RU)
- Institute of Physics, Bhubaneshwar (IN)
- Max Planck Institute for Physics (DE)
- Central China Normal University (CN)
- Texas A&M University (US)
- Valparaiso University (US)
- Pennsylvania State University (US)
- Warsaw University of Technology (PL)
- Carnegie Mellon University (US)
- City College of New York (US)
- Universidade de São Paulo (BR)
- Michigan State University (US)
- ORCID
- Adams, J.
- Aggarwal, M. M.
- Ahammed, Z.
- Anderson, M.
- Averichev, G. S.
- Balewski, J.
- Barnby, L. S.
- Baudot, J.
- Bellwied, R.
- Bhardwaj, S.
- Bland, L. C.
- Botje, M.
- Brandin, A.
- Bravar, A.
- Carroll, J.
- Cebra, D.
- Chaloupka, P.
- Chattopadhyay, S.
- Chen, H. F.
- Cherney, M.
- Christie, W.
- Cramer, J. G.
- Crawford, H. J.
- Das, D.
- Das, S.
- Derevschikov, A. A.
- Dietel, T.
- Dong, X.
- Draper, J. E.
- Dubey, A. K.
- Dunlop, J. C.
- Engelage, J.
- Eppley, G.
- Erazmus, B.
- Estienne, M.
- Faivre, J.
- Fatemi, R.
- Finch, E.
- Fisyak, Y.
- Foley, K. J.
- Gagliardi, C. A.
- Germain, M.
- Geurts, F.
- Gonzalez, J. E.
- Grachov, O.
- Grigoriev, V.
- Grosnick, D.
- Gupta, A.
- Gutierrez, T. D.
- Harris, J. W.
- Henry, T. W.
- Hippolyte, B.
- Hirsch, A.
- Hoffmann, G. W.
- Huang, H. Z.
- Huang, S. L.
- Humanic, T. J.
- Ishihara, A.
- Jacobs, P.
- Jacobs, W. W.
- Janik, M.
- Jiang, H.
- Johnson, I.
- Judd, E. G.
- Kabana, S.
- Keane, D.
- Kiryluk, J.
- Kisiel, A.
- Klay, J.
- Kravtsov, P.
- Kravtsov, V. I.
- Kuhn, C.
- Kumar, A.
- Kuznetsov, A. A.
- Landgraf, J. M.
- Lauret, J.
- Li, Q.
- Lisa, M. A.
- Liu, F.
- Llope, W. J.
- Lynn, D.
- Ma, J.
- Mahajan, S.
- Mahapatra, D. P.
- Majka, R.
- Margetis, S.
- Markert, C.
- Martin, L.
- Matis, H. S.
- Miller, M. L.
- Minaev, N. G.
- Mironov, C.
- Mishra, D.
- Mohanty, B.
- Morozov, D. A.
- Morozov, V.
- Munhoz, M. G.
- Nandi, B. K.
- Nayak, S. K.
- Nelson, J. M.
- Nogach, L. V.
- Norman, B.
- Odyniec, G.
- Ogawa, A.
- Pal, S. K.
- Panebratsev, Y.
- Perkins, C.
- Picha, R.
- Pluta, J.
- Poskanzer, A. M.
- Potekhin, M.
- Pruneau, C.
- Putschke, J.
- Rai, G.
- Rakness, G.
- Raniwala, R.
- Raniwala, S.
- Ray, R. L.
- Romero, J. L.
- Roy, C.
- Ruan, L. J.
- Sahoo, R.
- Salur, S.
- Schmitz, N.
- Schweda, K.
- Seger, J.
- Seyboth, P.
- Shahaliev, E.
- Shao, M.
- Sharma, M.
- Simon, F.
- Smirnov, N.
- Snellings, R.
- Sorensen, P.
- Srivastava, B.
- Stanislaus, S.
- Strikhanov, M.
- Suaide, A. A. P.
- Suire, C.
- Surrow, B.
- Takahashi, J.
- Tang, A. H.
- Thomas, J. H.
- Tikhomirov, V.
- Tonjes, M. B.
- Trainor, T. A.
- Trentalange, S.
- Tsai, O.
- Ullrich, T.
- Underwood, D. G.
- Vasiliev, A. N.
- Voloshin, S. A.
- Wang, F.
- Ward, H.
- Watson, J. W.
- Westfall, G. D.
- Wissink, S. W.
- Witt, R.
- Wood, J.
- Wu, J.
- Xu, Z. Z.
- Yurevich, V. I.
- Zborovský, I.
- Zhang, W. M.
- Zhang, Z. P.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2004-02-12
- Volume
- 92
- Issue
- 6
- Pages
- 062301-062301
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2027914744
- Cited by
- 226
- References
- 29
- Citations by year
- 2026: 4 · 2025: 5 · 2024: 2 · 2023: 4 · 2022: 3 · 2021: 7 · 2020: 13 · 2019: 6 · 2018: 6 · 2017: 4 · 2016: 10 · 2015: 6 · 2014: 7 · 2013: 11 · 2012: 8
- FWCI
- 14.71
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- DigitalCommons - CalPoly (California State Polytechnic University) (submittedVersion)
- Purdue e-Pubs (Purdue University System) (submittedVersion)
- High-Energy Physics Literature Database (CERN, DESY, Fermilab, IHEP, and SLAC) (submittedVersion)
- HAL (submittedVersion)
- UCL Discovery (University College London) (submittedVersion)
- OakTrust (Texas A&M University Libraries) (submittedVersion)
- Publication Server of Goethe University Frankfurt am Main (Goethe University Frankfurt) (submittedVersion)
- University of Birmingham Research Portal (University of Birmingham) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › High-Energy Particle Collisions Research
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Nuclear physics research studies
- Keywords
- azimuthal anisotropy, elliptic flow, directed flow, Au+Au collisions, heavy-ion collisions, reaction plane, flow harmonics, quark-gluon plasma, RHIC
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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