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The effects of initial state fluctuations on elliptic flow are investigated within a (3+1)d Boltzmann + hydrodynamics transport approach. The spatial eccentricity ($\epsilon_{\rm RP}$ and $\epsilon_{\rm part}$) is calculated for initial…

Nuclear Theory · Physics 2010-05-28 Hannah Petersen , Marcus Bleicher

We study the rheological signatures of departure from equilibrium in two-dimensional viscous fluids with and without internal spin. Under the assumption of isotropy, we provide the most general linear constitutive relations for stress and…

Statistical Mechanics · Physics 2020-06-24 Jeffrey M. Epstein , Kranthi K. Mandadapu

Hydrodynamic description requires a local thermodynamic equilibrium of the system under study but an approximate hydrodynamic behaviour is already manifested when a momentum distribution of liquid components is not of equilibrium form but…

High Energy Physics - Phenomenology · Physics 2009-11-11 Stanislaw Mrowczynski

The initial energy density distribution and fluctuation in the transverse direction lead to anisotropic flows of final hadrons through collective expansion in high-energy heavy-ion collisions. Fluctuations along the longitudinal direction,…

Nuclear Theory · Physics 2016-05-04 Long-Gang Pang , Hannah Petersen , Guang-You Qin , Victor Roy , Xin-Nian Wang

Odd fluids are a class of fluids characterized by non-zero antisymmetric transport coefficient tensors induced by broken time-reversal symmetry. In our previous work, a mesoscale simulation model for two-dimensional isotropic odd fluids was…

Soft Condensed Matter · Physics 2025-08-07 Yuxing Jiao , Mingcheng Yang

A century ago, the foundations of equilibrium statistical mechanics were laid. For a system in equilibrium with a thermal bath, much is understood through the Boltzmann factor, exp{-H[C]/kT}, for the probability of finding the system in any…

Statistical Mechanics · Physics 2009-10-31 R. K. P. Zia , L. B. Shaw , B. Schmittmann , R. J. Astalos

Anisotropies in the initial energy density distribution of the quark-gluon plasma created in high energy heavy ion collisions lead to anisotropies in the azimuthal distributions of the final-state particles known as collective flow. Fourier…

High Energy Physics - Experiment · Physics 2020-07-03 CMS Collaboration

Odd viscous liquids are endowed with an intrinsic mechanism that tends to restore a displaced particle back to its original position. Since the odd viscous stress does not dissipate energy, inertial oscillations and inertial-like waves can…

Fluid Dynamics · Physics 2023-10-20 E. Kirkinis , M. Olvera de la Cruz

Correlated quantum systems can exhibit thermodynamic behaviors that defy classical expectations, with anomalous energy flow (AEF) against temperature gradients serving as a paradigmatic example. While AEF has been shown to arise from the…

Quantum Physics · Physics 2025-08-27 Rui Guan , Junjie Liu

The previously reported non-equilibrium dissipation law is investigated in turbulent flows generated by various regular and fractal square grids. The flows are documented in terms of various turbulent profiles which reveal their…

Fluid Dynamics · Physics 2015-06-16 P. C. Valente , J. C. Vassilicos

Wave turbulence describes the long-time statistical behavior of out-of-equilibrium systems composed of weakly interacting waves. Non-Hermitian media ranging from open quantum systems to active materials can sustain wave propagation in…

Weak momentum dissipation in ultra-clean metals gives rise to novel non-Ohmic current flow, including ballistic and hydrodynamic regimes. Recently, hydrodynamic flow has attracted intense interest because it presents a valuable window into…

Mesoscale and Nanoscale Physics · Physics 2025-02-11 Kaize Wang , Chunyu Guo , Philip J. W. Moll , Tobias Holder

The flow of momentum and energy in a fluid is typically associated with dissipative transport coefficients: viscosity and thermal conductivity. Fluids that break certain symmetries such as mirror symmetry and time-reversal invariance can…

Statistical Mechanics · Physics 2022-02-07 Michel Fruchart , Ming Han , Colin Scheibner , Vincenzo Vitelli

We discuss how the different estimates of elliptic flow are influenced by flow fluctuations and nonflow effects. It is explained why the event-plane method yields estimates between the two-particle correlation methods and the multiparticle…

Nuclear Experiment · Physics 2009-11-18 Jean-Yves Ollitrault , Arthur M. Poskanzer , Sergei A. Voloshin

In this article an anisotropic interaction model avoiding collisions is proposed. Starting point is a general isotropic interacting particle system, as used for swarming or follower-leader dynamics. An anisotropy is induced by rotation of…

Analysis of PDEs · Mathematics 2020-08-17 Claudia Totzeck

We derive a general formula for the early time dependence of a phase space distribution evolving according to the kinetic Boltzmann equation. Assuming that the early evolution of the system created in high-energy nuclear collisions can be…

Nuclear Theory · Physics 2022-06-15 Marc Borrell , Nicolas Borghini

Flow coefficients v_n for n = 2, 3, 4, characterizing the anisotropic collective flow in Au+Au collisions at sqrt(s_NN) = 200 GeV, are measured relative to event planes \Psi_n determined at large rapidity. We report v_n as a function of…

Nuclear Experiment · Physics 2020-11-12 A. Adare , S. Afanasiev , C. Aidala , N. N. Ajitanand , Y. Akiba , H. Al-Bataineh , J. Alexander , K. Aoki , Y. Aramaki , E. T. Atomssa , R. Averbeck , T. C. Awes , B. Azmoun , V. Babintsev , M. Bai , G. Baksay , L. Baksay , K. N. Barish , B. Bassalleck , A. T. Basye , S. Bathe , V. Baublis , C. Baumann , A. Bazilevsky , S. Belikov , R. Belmont , R. Bennett , A. Berdnikov , Y. Berdnikov , A. A. Bickley , J. S. Bok , K. Boyle , M. L. Brooks , H. Buesching , V. Bumazhnov , G. Bunce , S. Butsyk , C. M. Camacho , S. Campbell , C. -H. Chen , C. Y. Chi , M. Chiu , I. J. Choi , R. K. Choudhury , P. Christiansen , T. Chujo , P. Chung , O. Chvala , V. Cianciolo , Z. Citron , B. A. Cole , M. Connors , P. Constantin , M. Csanád , T. Csörgő , T. Dahms , S. Dairaku , I. Danchev , K. Das , A. Datta , G. David , A. Denisov , A. Deshpande , E. J. Desmond , O. Dietzsch , A. Dion , M. Donadelli , O. Drapier , A. Drees , K. A. Drees , J. M. Durham , A. Durum , D. Dutta , S. Edwards , Y. V. Efremenko , F. Ellinghaus , T. Engelmore , A. Enokizono , H. En'yo , S. Esumi , B. Fadem , D. E. Fields , M. Finger , M. Finger, , F. Fleuret , S. L. Fokin , Z. Fraenkel , J. E. Frantz , A. Franz , A. D. Frawley , K. Fujiwara , Y. Fukao , T. Fusayasu , I. Garishvili , A. Glenn , H. Gong , M. Gonin , Y. Goto , R. Granier de Cassagnac , N. Grau , S. V. Greene , M. Grosse Perdekamp , T. Gunji , H. -Å. Gustafsson , J. S. Haggerty , K. I. Hahn , H. Hamagaki , J. Hamblen , R. Han , J. Hanks , E. P. Hartouni , E. Haslum , R. Hayano , X. He , M. Heffner , T. K. Hemmick , T. Hester , J. C. Hill , M. Hohlmann , W. Holzmann , K. Homma , B. Hong , T. Horaguchi , D. Hornback , S. Huang , T. Ichihara , R. Ichimiya , J. Ide , Y. Ikeda , K. Imai , M. Inaba , D. Isenhower , M. Ishihara , T. Isobe , M. Issah , A. Isupov , D. Ivanischev , B. V. Jacak , J. Jia , J. Jin , B. M. Johnson , K. S. Joo , D. Jouan , D. S. Jumper , F. Kajihara , S. Kametani , N. Kamihara , J. Kamin , J. H. Kang , J. Kapustinsky , K. Karatsu , D. Kawall , M. Kawashima , A. V. Kazantsev , T. Kempel , A. Khanzadeev , K. M. Kijima , B. I. Kim , D. H. Kim , D. J. Kim , E. Kim , E. J. Kim , S. H. Kim , Y. J. Kim , E. Kinney , K. Kiriluk , Á. Kiss , E. Kistenev , L. Kochenda , B. Komkov , M. Konno , J. Koster , D. Kotchetkov , A. Kozlov , A. Král , A. Kravitz , G. J. Kunde , K. Kurita , M. Kurosawa , Y. Kwon , G. S. Kyle , R. Lacey , Y. S. Lai , J. G. Lajoie , A. Lebedev , D. M. Lee , J. Lee , K. Lee , K. B. Lee , K. S. Lee , M. J. Leitch , M. A. L. Leite , E. Leitner , B. Lenzi , X. Li , P. Liebing , L. A. Linden Levy , T. Liška , A. Litvinenko , H. Liu , M. X. Liu , B. Love , R. Luechtenborg , D. Lynch , C. F. Maguire , Y. I. Makdisi , A. Malakhov , M. D. Malik , V. I. Manko , E. Mannel , Y. Mao , H. Masui , F. Matathias , M. McCumber , P. L. McGaughey , N. Means , B. Meredith , Y. Miake , A. C. Mignerey , P. Mikeš , K. Miki , A. Milov , M. Mishra , J. T. Mitchell , A. K. Mohanty , Y. Morino , A. Morreale , D. P. Morrison , T. V. Moukhanova , J. Murata , S. Nagamiya , J. L. Nagle , M. Naglis , M. I. Nagy , I. Nakagawa , Y. Nakamiya , T. Nakamura , K. Nakano , J. Newby , M. Nguyen , R. Nouicer , A. S. Nyanin , E. O'Brien , S. X. Oda , C. A. Ogilvie , M. Oka , K. Okada , Y. Onuki , A. Oskarsson , M. Ouchida , K. Ozawa , R. Pak , V. Pantuev , V. Papavassiliou , I. H. Park , J. Park , S. K. Park , W. J. Park , S. F. Pate , H. Pei , J. -C. Peng , H. Pereira , V. Peresedov , D. Yu. Peressounko , C. Pinkenburg , R. P. Pisani , M. Proissl , M. L. Purschke , A. K. Purwar , H. Qu , J. Rak , A. Rakotozafindrabe , I. Ravinovich , K. F. Read , K. Reygers , V. Riabov , Y. Riabov , E. Richardson , D. Roach , G. Roche , S. D. Rolnick , M. Rosati , C. A. Rosen , S. S. E. Rosendahl , P. Rosnet , P. Rukoyatkin , P. Ružička , B. Sahlmueller , N. Saito , T. Sakaguchi , K. Sakashita , V. Samsonov , S. Sano , T. Sato , S. Sawada , K. Sedgwick , J. Seele , R. Seidl , A. Yu. Semenov , R. Seto , D. Sharma , I. Shein , T. -A. Shibata , K. Shigaki , M. Shimomura , K. Shoji , P. Shukla , A. Sickles , C. L. Silva , D. Silvermyr , C. Silvestre , K. S. Sim , B. K. Singh , C. P. Singh , V. Singh , M. Slunečka , R. A. Soltz , W. E. Sondheim , S. P. Sorensen , I. V. Sourikova , N. A. Sparks , P. W. Stankus , E. Stenlund , S. P. Stoll , T. Sugitate , A. Sukhanov , J. Sziklai , E. M. Takagui , A. Taketani , R. Tanabe , Y. Tanaka , K. Tanida , M. J. Tannenbaum , S. Tarafdar , A. Taranenko , P. Tarján , H. Themann , T. L. Thomas , M. Togawa , A. Toia , L. Tomášek , H. Torii , R. S. Towell , I. Tserruya , Y. Tsuchimoto , C. Vale , H. Valle , H. W. van Hecke , E. Vazquez-Zambrano , A. Veicht , J. Velkovska , R. Vértesi , A. A. Vinogradov , M. Virius , V. Vrba , E. Vznuzdaev , X. R. Wang , D. Watanabe , K. Watanabe , Y. Watanabe , F. Wei , R. Wei , J. Wessels , S. N. White , D. Winter , J. P. Wood , C. L. Woody , R. M. Wright , M. Wysocki , W. Xie , Y. L. Yamaguchi , K. Yamaura , R. Yang , A. Yanovich , J. Ying , S. Yokkaichi , Z. You , G. R. Young , I. Younus , I. E. Yushmanov , W. A. Zajc , C. Zhang , S. Zhou , L. Zolin

Flow harmonics ($\textit{v}_{n}$) of the Fourier expansion for the azimuthal distributions of hadrons are commonly employed to quantify the azimuthal anisotropy of particle production relative to the collision symmetry planes. While lower…

Nuclear Experiment · Physics 2020-12-18 STAR Collaboration , J. Adam , L. Adamczyk , J. R. Adams , J. K. Adkins , G. Agakishiev , M. M. Aggarwal , Z. Ahammed , I. Alekseev , D. M. Anderson , A. Aparin , E. C. Aschenauer , M. U. Ashraf , F. G. Atetalla , A. Attri , G. S. Averichev , V. Bairathi , K. Barish , A. Behera , R. Bellwied , A. Bhasin , J. Bielcik , J. Bielcikova , L. C. Bland , I. G. Bordyuzhin , J. D. Brandenburg , A. V. Brandin , J. Butterworth , H. Caines , M. Calderón de la Barca Sánchez , D. Cebra , I. Chakaberia , P. Chaloupka , B. K. Chan , F-H. Chang , Z. Chang , N. Chankova-Bunzarova , A. Chatterjee , D. Chen , J. H. Chen , X. Chen , Z. Chen , J. Cheng , M. Cherney , M. Chevalier , S. Choudhury , W. Christie , X. Chu , H. J. Crawford , M. Csanád , M. Daugherity , T. G. Dedovich , I. M. Deppner , A. A. Derevschikov , L. Didenko , X. Dong , J. L. Drachenberg , J. C. Dunlop , T. Edmonds , N. Elsey , J. Engelage , G. Eppley , R. Esha , S. Esumi , O. Evdokimov , A. Ewigleben , O. Eyser , R. Fatemi , S. Fazio , P. Federic , J. Fedorisin , C. J. Feng , Y. Feng , P. Filip , E. Finch , Y. Fisyak , A. Francisco , L. Fulek , C. A. Gagliardi , T. Galatyuk , F. Geurts , A. Gibson , K. Gopal , D. Grosnick , W. Guryn , A. I. Hamad , A. Hamed , S. Harabasz , J. W. Harris , S. He , W. He , X. H. He , S. Heppelmann , S. Heppelmann , N. Herrmann , E. Hoffman , L. Holub , Y. Hong , S. Horvat , Y. Hu , H. Z. Huang , S. L. Huang , T. Huang , X. Huang , T. J. Humanic , P. Huo , G. Igo , D. Isenhower , W. W. Jacobs , C. Jena , A. Jentsch , Y. JI , J. Jia , K. Jiang , S. Jowzaee , X. Ju , E. G. Judd , S. Kabana , M. L. Kabir , S. Kagamaster , D. Kalinkin , K. Kang , D. Kapukchyan , K. Kauder , H. W. Ke , D. Keane , A. Kechechyan , M. Kelsey , Y. V. Khyzhniak , D. P. Kikoła , C. Kim , B. Kimelman , D. Kincses , T. A. Kinghorn , I. Kisel , A. Kiselev , M. Kocan , L. Kochenda , L. K. Kosarzewski , L. Kramarik , P. Kravtsov , K. Krueger , N. Kulathunga Mudiyanselage , L. Kumar , R. Kunnawalkam Elayavalli , J. H. Kwasizur , R. Lacey , S. Lan , J. M. Landgraf , J. Lauret , A. Lebedev , R. Lednicky , J. H. Lee , Y. H. Leung , C. Li , W. Li , W. Li , X. Li , Y. Li , Y. Liang , R. Licenik , T. Lin , Y. Lin , M. A. Lisa , F. Liu , H. Liu , P. Liu , P. Liu , T. Liu , X. Liu , Y. Liu , Z. Liu , T. Ljubicic , W. J. Llope , R. S. Longacre , N. S. Lukow , S. Luo , X. Luo , G. L. Ma , L. Ma , R. Ma , Y. G. Ma , N. Magdy , R. Majka , D. Mallick , S. Margetis , C. Markert , H. S. Matis , J. A. Mazer , N. G. Minaev , S. Mioduszewski , B. Mohanty , M. M. Mondal , I. Mooney , Z. Moravcova , D. A. Morozov , M. Nagy , J. D. Nam , Md. Nasim , K. Nayak , D. Neff , J. M. Nelson , D. B. Nemes , M. Nie , G. Nigmatkulov , T. Niida , L. V. Nogach , T. Nonaka , A. S. Nunes , G. Odyniec , A. Ogawa , S. Oh , V. A. Okorokov , B. S. Page , R. Pak , A. Pandav , Y. Panebratsev , B. Pawlik , D. Pawlowska , H. Pei , C. Perkins , L. Pinsky , R. L. Pintér , J. Pluta , J. Porter , M. Posik , N. K. Pruthi , M. Przybycien , J. Putschke , H. Qiu , A. Quintero , S. K. Radhakrishnan , S. Ramachandran , R. L. Ray , R. Reed , H. G. Ritter , J. B. Roberts , O. V. Rogachevskiy , J. L. Romero , L. Ruan , J. Rusnak , N. R. Sahoo , H. Sako , S. Salur , J. Sandweiss , S. Sato , W. B. Schmidke , N. Schmitz , B. R. Schweid , F. Seck , J. Seger , M. Sergeeva , R. Seto , P. Seyboth , N. Shah , E. Shahaliev , P. V. Shanmuganathan , M. Shao , F. Shen , W. Q. Shen , S. S. Shi , Q. Y. Shou , E. P. Sichtermann , R. Sikora , M. Simko , J. Singh , S. Singha , N. Smirnov , W. Solyst , P. Sorensen , H. M. Spinka , B. Srivastava , T. D. S. Stanislaus , M. Stefaniak , D. J. Stewart , M. Strikhanov , B. Stringfellow , A. A. P. Suaide , M. Sumbera , B. Summa , X. M. Sun , X. Sun , Y. Sun , Y. Sun , B. Surrow , D. N. Svirida , P. Szymanski , A. H. Tang , Z. Tang , A. Taranenko , T. Tarnowsky , J. H. Thomas , A. R. Timmins , D. Tlusty , M. Tokarev , C. A. Tomkiel , S. Trentalange , R. E. Tribble , P. Tribedy , S. K. Tripathy , O. D. Tsai , Z. Tu , T. Ullrich , D. G. Underwood , I. Upsal , G. Van Buren , J. Vanek , A. N. Vasiliev , I. Vassiliev , F. Videbæk , S. Vokal , S. A. Voloshin , F. Wang , G. Wang , J. S. Wang , P. Wang , Y. Wang , Y. Wang , Z. Wang , J. C. Webb , P. C. Weidenkaff , L. Wen , G. D. Westfall , H. Wieman , S. W. Wissink , R. Witt , Y. Wu , Z. G. Xiao , G. Xie , W. Xie , H. Xu , N. Xu , Q. H. Xu , Y. F. Xu , Y. Xu , Z. Xu , Z. Xu , C. Yang , Q. Yang , S. Yang , Y. Yang , Z. Yang , Z. Ye , Z. Ye , L. Yi , K. Yip , H. Zbroszczyk , W. Zha , C. Zhang , D. Zhang , S. Zhang , S. Zhang , X. P. Zhang , Y. Zhang , Y. Zhang , Z. J. Zhang , Z. Zhang , Z. Zhang , J. Zhao , C. Zhong , C. Zhou , X. Zhu , Z. Zhu , M. Zurek , M. Zyzak

The time-reversal symmetry of nonequilibrium fluctuations is experimentally investigated in two out-of-equilibrium systems namely, a Brownian particle in a trap moving at constant speed and an electric circuit with an imposed mean current.…

Statistical Mechanics · Physics 2016-08-31 David Andrieux , Pierre Gaspard , Sergio Ciliberto , Nicolas Garnier , Sylvain Joubaud , Artyom Petrosyan

Measurements of anisotropic flow coefficients with two- and multi-particle cumulants for inclusive charged particles in Pb-Pb collisions at $\sqrt{{\textit s}_\text{NN}} = 5.02$ and 2.76 TeV are reported in the pseudorapidity range $|\eta|…

Nuclear Experiment · Physics 2019-01-18 ALICE Collaboration