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Experimental results are presented on event-by-event net-proton fluctuation measurements in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV, recorded by the ALICE detector at the CERN LHC. These measurements have as their ultimate goal…

Nuclear Experiment · Physics 2021-02-26 ALICE Collaboration

The difference Delta F between free energies has applications in biology, chemistry, and pharmacology. The value of Delta F can be estimated from experiments or simulations, via fluctuation theorems developed in statistical mechanics.…

Statistical Mechanics · Physics 2016-06-03 Nicole Yunger Halpern , Christopher Jarzynski

We present a model-independent method to reconstruct the impact parameter distributions of experimental data for intermediate energy heavy ion collisions, adapted from a recently proposed approach for ultra-relativistic heavy ion…

Baryon number fluctuations are sensitive to the QCD phase transition and QCD critical point. According to the Feynman rules of finite-temperature field theory, we calculated various order moments and cumulants of the baryon number…

Nuclear Theory · Physics 2017-04-07 Ameng Zhao , Xiaofeng Luo , Hongshi Zong

QCD critical point is a landmark region in the QCD phase diagram outlined by temperature as a function of baryon chemical potential. To the right of this second-order phase transition point, one expects first order quark-hadron phase…

Nuclear Experiment · Physics 2022-05-25 A. Pandav , D. Mallick , B. Mohanty

We present a determination of chemical freeze-out conditions in heavy ion collisions based on ratios of cumulants of net electric charge fluctuations. These ratios can reliably be calculated in lattice QCD for a wide range of chemical…

High Energy Physics - Lattice · Physics 2012-11-27 A. Bazavov , H. -T. Ding , P. Hegde , O. Kaczmarek , F. Karsch , E. Laermann , Swagato Mukherjee , P. Petreczky , C. Schmidt , D. Smith , W. Soeldner , M. Wagner

Fluctuations of conserved quantities such as baryon number, charge, and strangeness are sensitive to the correlation length of the hot and dense matter created in relativistic heavy-ion collisions and can be used to search for the QCD…

Nuclear Experiment · Physics 2018-09-18 STAR Collaboration , L. Adamczyk , J. R. Adams , J. K. Adkins , G. Agakishiev , M. M. Aggarwal , Z. Ahammed , N. N. Ajitanand , I. Alekseev , D. M. Anderson , R. Aoyama , A. Aparin , D. Arkhipkin , E. C. Aschenauer , M. U. Ashraf , A. Attri , G. S. Averichev , X. Bai , V. Bairathi , K. Barish , A. Behera , R. Bellwied , A. Bhasin , A. K. Bhati , P. Bhattarai , J. Bielcik , J. Bielcikova , L. C. Bland , I. G. Bordyuzhin , J. Bouchet , J. D. Brandenburg , A. V. Brandin , D. Brown , J. Bryslawskyj , I. Bunzarov , J. Butterworth , H. Caines , M. Calderón de la Barca Sánchez , J. M. Campbell , D. Cebra , I. Chakaberia , P. Chaloupka , Z. Chang , N. Chankova-Bunzarova , A. Chatterjee , S. Chattopadhyay , X. Chen , X. Chen , J. H. Chen , J. Cheng , M. Cherney , W. Christie , G. Contin , H. J. Crawford , S. Das , T. G. Dedovich , J. Deng , I. M. Deppner , A. A. Derevschikov , L. Didenko , C. Dilks , X. Dong , J. L. Drachenberg , J. E. Draper , J. C. Dunlop , L. G. Efimov , N. Elsey , J. Engelage , G. Eppley , R. Esha , S. Esumi , O. Evdokimov , J. Ewigleben , O. Eyser , R. Fatemi , S. Fazio , P. Federic , P. Federicova , J. Fedorisin , Z. Feng , P. Filip , E. Finch , Y. Fisyak , C. E. Flores , J. Fujita , L. Fulek , C. A. Gagliardi , F. Geurts , A. Gibson , M. Girard , D. Grosnick , D. S. Gunarathne , Y. Guo , A. Gupta , W. Guryn , A. I. Hamad , A. Hamed , A. Harlenderova , J. W. Harris , L. He , S. Heppelmann , S. Heppelmann , N. Herrmann , A. Hirsch , S. Horvat , B. Huang , T. Huang , X. Huang , H. Z. Huang , T. J. Humanic , P. Huo , G. Igo , W. W. Jacobs , A. Jentsch , J. Jia , K. Jiang , S. Jowzaee , E. G. Judd , S. Kabana , D. Kalinkin , K. Kang , D. Kapukchyan , K. Kauder , H. W. Ke , D. Keane , A. Kechechyan , Z. Khan , D. P. Kikoła , C. Kim , I. Kisel , A. Kisiel , L. Kochenda , M. Kocmanek , T. Kollegger , L. K. Kosarzewski , A. F. Kraishan , L. Krauth , P. Kravtsov , K. Krueger , N. Kulathunga , L. Kumar , J. Kvapil , J. H. Kwasizur , R. Lacey , J. M. Landgraf , K. D. Landry , J. Lauret , A. Lebedev , R. Lednicky , J. H. Lee , X. Li , W. Li , Y. Li , C. Li , J. Lidrych , T. Lin , M. A. Lisa , F. Liu , P. Liu , Y. Liu , H. Liu , T. Ljubicic , W. J. Llope , M. Lomnitz , R. S. Longacre , X. Luo , S. Luo , G. L. Ma , L. Ma , R. Ma , Y. G. Ma , N. Magdy , R. Majka , D. Mallick , S. Margetis , C. Markert , H. S. Matis , D. Mayes , K. Meehan , J. C. Mei , Z. W. Miller , N. G. Minaev , S. Mioduszewski , D. Mishra , S. Mizuno , B. Mohanty , M. M. Mondal , D. A. Morozov , M. K. Mustafa , Md. Nasim , T. K. Nayak , J. M. Nelson , D. B. Nemes , M. Nie , G. Nigmatkulov , T. Niida , L. V. Nogach , T. Nonaka , S. B. Nurushev , G. Odyniec , A. Ogawa , K. Oh , V. A. Okorokov , D. Olvitt , B. S. Page , R. Pak , Y. Pandit , Y. Panebratsev , B. Pawlik , H. Pei , C. Perkins , J. Pluta , K. Poniatowska , J. Porter , M. Posik , N. K. Pruthi , M. Przybycien , J. Putschke , A. Quintero , S. Ramachandran , R. L. Ray , R. Reed , M. J. Rehbein , H. G. Ritter , J. B. Roberts , O. V. Rogachevskiy , J. L. Romero , J. D. Roth , L. Ruan , J. Rusnak , O. Rusnakova , N. R. Sahoo , P. K. Sahu , S. Salur , J. Sandweiss , A. Sarkar , M. Saur , J. Schambach , A. M. Schmah , W. B. Schmidke , N. Schmitz , B. R. Schweid , J. Seger , M. Sergeeva , R. Seto , P. Seyboth , N. Shah , E. Shahaliev , P. V. Shanmuganathan , M. Shao , W. Q. Shen , S. S. Shi , Z. Shi , Q. Y. Shou , E. P. Sichtermann , R. Sikora , M. Simko , S. Singha , M. J. Skoby , N. Smirnov , D. Smirnov , W. Solyst , P. Sorensen , H. M. Spinka , B. Srivastava , T. D. S. Stanislaus , D. J. Stewart , M. Strikhanov , B. Stringfellow , A. A. P. Suaide , T. Sugiura , M. Sumbera , B. Summa , Y. Sun , X. Sun , X. M. Sun , B. Surrow , D. N. Svirida , A. H. Tang , Z. Tang , A. Taranenko , T. Tarnowsky , A. Tawfik , J. Thäder , J. H. Thomas , A. R. Timmins , D. Tlusty , T. Todoroki , M. Tokarev , S. Trentalange , R. E. Tribble , P. Tribedy , S. K. Tripathy , B. A. Trzeciak , O. D. Tsai , T. Ullrich , D. G. Underwood , I. Upsal , G. Van Buren , G. van Nieuwenhuizen , A. N. Vasiliev , F. Videbæk , S. Vokal , S. A. Voloshin , A. Vossen , G. Wang , Y. Wang , F. Wang , Y. Wang , G. Webb , J. C. Webb , L. Wen , G. D. Westfall , H. Wieman , S. W. Wissink , R. Witt , Y. Wu , Z. G. Xiao , G. Xie , W. Xie , Y. F. Xu , J. Xu , Q. H. Xu , N. Xu , Z. Xu , S. Yang , Y. Yang , C. Yang , Q. Yang , Z. Ye , Z. Ye , L. Yi , K. Yip , I. -K. Yoo , N. Yu , H. Zbroszczyk , W. Zha , Z. Zhang , J. Zhang , S. Zhang , S. Zhang , J. Zhang , Y. Zhang , X. P. Zhang , J. B. Zhang , J. Zhao , C. Zhong , L. Zhou , C. Zhou , X. Zhu , Z. Zhu , M. Zyzak

We propose an extension of the initial condition model TRENTo for sampling the number of partons inside the nucleons that participate in a heavy-ion collision. This sampling method is based on parton distribution functions (PDFs) and…

High Energy Physics - Phenomenology · Physics 2025-12-22 Andreas Kirchner , Steffen A. Bass

High moments of conserved quantities such as net-baryon, net-electric charge, and net-strangeness in heavy-ion collisions are sensitive to fluctuations caused by the QCD critical point (CP). The event-by-event analysis of high moments of…

Nuclear Experiment · Physics 2025-11-06 Xin Zhang , Yu Zhang , Xiaofeng Luo , Nu Xu

Quantum Molecular Dynamics models (QMD) are Monte Carlo approaches targeted at the description of nucleon-ion and ion-ion collisions. We have developed a QMD code, which has been used for the simulation of the fast stage of ion-ion…

We revisit the D-measure of event-by-event net-electric charge fluctuations, an idea first introduced over 20 years ago as a potential signature for the presence of quark-gluon plasma (QGP) in heavy-ion collisions. We developed a…

Nuclear Theory · Physics 2025-09-22 Jonathan Parra , Roman Poberezhniuk , Volker Koch , Claudia Ratti , Volodymyr Vovchenko

Mix-cumulants of conserved charge distributions are sensitive observables for probing properties of the QCD medium and phase transition in heavy-ion collisions. To perform precise measurements, efficiency correction is one of the most…

Data Analysis, Statistics and Probability · Physics 2021-08-03 Arghya Chatterjee , Toshihiro Nonaka , ShinIchi Esumi , Xiaofeng Luo

We discuss the role of cumulants of net baryon number fluctuations in the analysis of critical behavior in QCD and the study of freeze-out conditions in heavy ion experiments. Through the comparison of the current set of measurements of…

High Energy Physics - Phenomenology · Physics 2013-05-29 Frithjof Karsch , Krzysztof Redlich

We discuss several possible caveats which arise with the interpretation of measurements of fluctuations in heavy ion collisions. We especially focus on the ratios of particle yields, which has been advocated as a possible signature of a…

Nuclear Theory · Physics 2011-08-04 Michael Hauer , Sascha Vogel

We argue that by measuring higher moments of the net proton number fluctuations in heavy ion collisions (HIC) one can probe the QCD chiral cross over transition experimentally. We discuss the properties of fluctuations of the net baryon…

High Energy Physics - Phenomenology · Physics 2015-06-05 Krzysztof Redlich

In the linear random effects model, when distributional assumptions such as normality of the error variables cannot be justified, moments may serve as alternatives to describe relevant distributions in neighborhoods of their means.…

Statistics Theory · Mathematics 2012-03-05 Ping Wu , Winfried Stute , Li-Xing Zhu

First, we present a concise glossary of formulas for composition of standard, cumulant, factorial, and factorial cumulant moments in superposition (compound) models, where final particles are created via independent emission from a…

Nuclear Theory · Physics 2017-06-28 Wojciech Broniowski , Adam Olszewski

Fluctuations of conserved charges are a golden channel for measuring a QCD critical point in relativistic heavy-ion collisions. These fluctuations are quantified by measuring high-order cumulants of baryon-number distributions at a given…

Nuclear Theory · Physics 2024-10-17 Zachary Sweger , Daniel Cebra , Xin Dong

The first experimental results of a new quantum method for calculating nuclear temperature and density of fragmenting heavy ions is presented. This method is based on fluctuations in the event quadrupole momentum and fragment multiplicity…

We present a practical scheme for performing error estimates for Density Functional Theory calculations. The approach which is based on ideas from Bayesian statistics involves creating an ensemble of exchange-correlation functionals by…

Materials Science · Physics 2009-11-11 J. J. Mortensen , K. Kaasbjerg , S. L. Frederiksen , J. K. Norskov , J. P. Sethna , K. W. Jacobsen
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