Study of the multiparticle event structure with fractal dimension Oleg Rogachevsky JINR July 1st, 2011.

Slides:

Advertisements

Similar presentations

Fractal Euclidean RockCrystal Single planet Large-scale distribution of galaxies.

Advertisements

Mass, Quark-number, Energy Dependence of v 2 and v 4 in Relativistic Nucleus- Nucleus Collisions Yan Lu University of Science and Technology of China Many.

June 20, Back-to-Back Correlations in p+p, p+A and A+A Reactions 2005 Annual AGS-RHIC User's Meeting June 20, BNL, Upton, NY Ivan Vitev, LANL Ivan.

Multiparticle Correlations and Charged Jet Studies in p+p, d+Au, and Au+Au Collisions at  s NN =200 GeV. Michael L. Miller Yale University For the STAR.

Photon-Jet Correlations at RHIC Saskia Mioduszewski Texas A&M University 18 July, 2007.

Minimum bias and the underlying event: towards the LHC I.Dawson, C.Buttar and A.Moraes University of Sheffield Physics at LHC - Prague July , 2003.

Jet probes of nuclear collisions: From RHIC to LHC Dan Magestro, The Ohio State University Midwest Critical Mass October 21-22, 2005.

Probing Properties of the QCD Medium via Heavy Quark Induced Hadron Correlations Huan Zhong Huang Department of Physics and Astronomy University of California.

Julia Velkovska Selected CMS Results from pp collisions 27th Winter Workshop on Nuclear Dynamics Winter Park, Colorado Feb 6-13, 2011.

ICPAQGP, Kolkata, February 2-6, 2015 Itzhak Tserruya PHENIX highlights.

Understanding Jet Energy Loss with Angular Correlation Studies in PHENIX Ali Hanks for the PHENIX Collaboration 24 th Winter Workshop on Nuclear Dynamics.

Understanding Jet Energy Loss with Angular Correlation Studies in PHENIX Ali Hanks for the PHENIX Collaboration 24 th Winter Workshop on Nuclear Dynamics.

Hard Probes at RHIC Saskia Mioduszewski Texas A&M University Winter Workshop on Nuclear Dynamics 8 April, 2008.

“Predictions” for PbPb at LHC Based on the Extrapolation of Data at Lower Energies Wit Busza MIT Many thanks to Alex Mott, Yen-Jie Lee and Andre Yoon for.

Multifractals in Real World

8/6/2005Tomoaki Nakamura - Hiroshima Univ.1 Tomoaki Nakamura for the PHENIX collaboration Hiroshima University Measurement of event-by-event fluctuations.

ISMD31 / Sept. 4, 2001 Toru Sugitate / Hiroshima Univ. The 31 st International Symposium on Multiparticle Dynamics on 1-7, Sept in Datong, China.

Strange and Charm Probes of Hadronization of Bulk Matter at RHIC International Symposium on Multi-Particle Dynamics Aug 9-15, 2005 Huan Zhong Huang University.

Masashi Kaneta, LBNL Masashi Kaneta for the STAR collaboration Lawrence Berkeley National Lab. First results from STAR experiment at RHIC - Soft hadron.

CDF Joint Physics Group June 27, 2003 Rick FieldPage 1 PYTHIA Tune A versus Run 2 Data  Compare PYTHIA Tune A with Run 2 data on the “underlying event”.

Photon-Jet Correlations at RHIC Saskia Mioduszewski Texas A&M University 19 June, 2007.

D. Toivonen, M. Tokarev JINR, Dubna Z-scaling & High- pT and cumulative particle production in pp and pA collisions at high energies Z XXXII International.

Nov2,2001High P T Workshop, BNL Julia Velkovska High pt Hadrons from  sNN = 130 GeV Au-Au collisions measured in PHENIX Julia Velkovska (BNL) for PHENIX.

Two Particle Correlations and Viscosity in Heavy Ion Collisions Monika Sharma for the Wayne State University STAR Collaboration Outline: Motivation Measurement.

QM’05 Budapest, HungaryHiroshi Masui (Univ. of Tsukuba) 1 Anisotropic Flow in  s NN = 200 GeV Cu+Cu and Au+Au collisions at RHIC - PHENIX Hiroshi Masui.

Tomoaki Nakamura - Hiroshima Univ.16/21/2005 Event-by-Event Fluctuations from PHENIX Tomoaki Nakamura for the PHENIX collaboration Hiroshima University.

An experimental perspective on first jet measurements at LHC: Lessons from RHIC Dan Magestro, The Ohio State University ALICE-USA Collaboration Meeting.

Conceptual Modelling and Hypothesis Formation Research Methods CPE 401 / 6002 / 6003 Professor Will Zimmerman.

Scaling properties of multiplicity fluctuations in heavy-ion collisions simulated by AMPT model Yi-Long Xie China University of Geosciences, Wuhan （ Xie.

M. Issah QM04 1 Azimuthal Anisotropy Measurements in PHENIX via Cumulants of Multi-particle Azimuthal Correlations Michael Issah (SUNY Stony Brook ) for.

M. Oldenburg Strange Quark Matter 2006 — March 26–31, Los Angeles, California 1 Centrality Dependence of Azimuthal Anisotropy of Strange Hadrons in 200.

20-25 May 2007 The Berkeley School STAR Study of Jets with 2+1 multi-particle correlations Richard Hollis* for the STAR Collaboration * in close collaboration.

Introduction to Chaos by: Saeed Heidary 29 Feb 2013.

09/15/10Waye State University1 Elliptic Flow of Inclusive Photon Ahmed M. Hamed Midwest Critical Mass University of Toledo, Ohio October, 2005 Wayne.

1 34th International Conference on High Energy Physics (ICHEP 2008) ‏ The STAR Experiment Texas A&M University A. Hamed for the STAR collaboration Direct.

Energy Scan of Hadron (  0 ) Suppression and Flow in Au+Au Collisions at PHENIX Norbert Novitzky for PHENIX collaboration University of Jyväskylä, Finland.

Hadron Collider Physics 2012, 12/Nov/2012, KyotoShinIchi Esumi, Univ. of Tsukuba1 Heavy Ion results from RHIC-BNL ShinIchi Esumi Univ. of Tsukuba Contents.

Charged Particle Multiplicity and Transverse Energy in √s nn = 130 GeV Au+Au Collisions Klaus Reygers University of Münster, Germany for the PHENIX Collaboration.

STAR Modification of high-p T hadro-chemistry in Au+Au collisions relative to p+p Anthony Timmins for the STAR Collaboration 31st July 2009 Heavy-ion III.

Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration.

Ti Results: Energy and system dependence Conclusions Ridge Jet Figure 1: Sample di-hadron correlation showing the jet-like correlation and the ridge [1]

Directed flow as an effect of the transient state rotation in hadron and nucleus collisions S.M. Troshin, N.E. Tyurin IHEP, Protvino.

07/27/2002Federica Messer High momentum particle suppression in Au-Au collisions at RHIC. Federica Messer ICHEP th international Conference on high.

PHENIX results on centrality dependence of yields and correlations in d+Au collisions at √s NN =200GeV Takao Sakaguchi Brookhaven National Laboratory for.

Itzhak Tserruya Initial Conditions at RHIC: an Experimental Perspective RHIC-INT Workshop LBNL, May31 – June 2, 2001 Itzhak Tserruya Weizmann.

Q UANTUM CHAOS AND P ERES LATTICES FOR 0+ STATES IN THE G EOMETRIC COLLECTIVE MODEL Pavel Stránský, Pavel Cejnar, Michal Macek 5th Workshop on Shape-Phase.

Fragmentation of relativistic 9 Be and 14 N nuclei in nuclear track emulsion D. A. Artemenkov JINR, Dubna BECQUREL Collaboration web site:

Some simple common trends in pp, pA, AA, and even e+e- multiparticle production and “Predictions” for pp and PbPb at LHC Wit Busza MIT Many thanks to Alex.

Kirill Filimonov, ISMD 2002, Alushta 1 Kirill Filimonov Lawrence Berkeley National Laboratory Anisotropy and high p T hadrons in Au+Au collisions at RHIC.

Squaw Valley, Feb. 2013, Roy A. Lacey, Stony Brook University Take home message  The scaling (p T, ε, R, ∆L, etc) properties of azimuthal anisotropy.

Wolf G. Holzmann (SUNY Stony Brook) for the PHENIX Collaboration Angular Correlation Studies in PHENIX Wolf G. Holzmann for the Collaboration.

Japanese Physics Society meeting, Hokkaido Univ. 23/Sep/2007, JPS meeting, Sapporo, JapanShinIchi Esumi, Inst. of Physics, Univ. of Tsukuba1 Collective.

Masashi Kaneta, RBRC, BNL 2003 Fall Meeting of the Division of Nuclear Physics (2003/10/31) 1 KANETA, Masashi for the PHENIX Collaboration RIKEN-BNL Research.

Jet Production in Au+Au Collisions at STAR Alexander Schmah for the STAR Collaboration Lawrence Berkeley National Lab Hard Probes 2015 in Montreal/Canada.

Elliptic Flow of Inclusive Photon Elliptic Flow of Inclusive Photon Ahmed M. Hamed Midwest Critical Mass University of Toledo, Ohio Oct. 22,

9/11/2003Tomoaki Nakamura - Hiroshima Univ.1 Event-by-event charge/neutral fluctuation at RHIC-PHENIX Tomoaki Nakamura / Kensuke Homma Hiroshima University.

Quark Matter 2002, July 18-24, Nantes, France Dimuon Production from Au-Au Collisions at Ming Xiong Liu Los Alamos National Laboratory (for the PHENIX.

Fall DNP Meeting,  meson production in Au-Au and d-Au collision at \ /s NN = 200 GeV Dipali Pal Vanderbilt University (for the PHENIX collaboration)

PHENIX Measurements of Azimuthal Anisotropy at RHIC

Monika Sharma Wayne State University for the STAR Collaboration

Dimension Review Many of the geometric structures generated by chaotic map or differential dynamic systems are extremely complex. Fractal : hard to define.

Maya SHIMOMURA University of Tsukuba for the PHENIX Collaboration

Heavy Ion Ohsaka University Takahito Todoroki

The Study of Elliptic Flow for PID Hadron at RHIC-PHENIX

System Size and Energy Dependence of -meson Production at RHIC

Shingo Sakai for PHENIX Collaborations (Univ. of Tsukuba)

Two particle hadron correlations with higher harmonic reaction plane in Au+Au 200 GeV collisions at RHIC-PHENIX T. Todoroki for the PHENIX Collaboration.

Hiroshi Masui For the PHENIX Collaboration Quark Matter 2004

Hiroshi Masui / Univ. of Tsukuba

W and Z+ Jets Comparing event generators for Vector Boson events

Presentation transcript:

Study of the multiparticle event structure with fractal dimension Oleg Rogachevsky JINR July 1st, 2011

Self-similarity & scaling in nuclear collisions Recently, a large variety of experimental results indicated that multiparticle production in high energy collisions possesses a self-similarity property when the resolution in phase space is increased. In analogy with the well known phenomena in geometrical and statistical systems exhibiting self-similarity, it was suggested that the ideas and methods of deterministic chaos in nonlinear physics can be used to analyze the data of multiplicity production at high energy collisions. Intermittency, Z – scaling, Π-scaling, …

Some effects in high energy AuAu collisions 3 Pedestal&flow subtracted Phys. Rev. Lett. 91, (2003). Disappearance of away side jet and more others...

Collections of small entities (particles or whatever) behave haphazardly, even though physical laws govern the particles individually Deterministic chaos  chaos results from deterministic process Fractals deal with geometric patterns (represented chaos) and quantitative way of characterizing these patterns. Chaos, in contrast, deals with time evolution and its underlying or distinguishing characteristics Garnett P. Williams “Chaos Theory Tamed” Deterministic chaos 4 A fractal is a shape made of parts similar to the whole in some way E.Feder

Koch’s arc r - scale N(r) - number of elements in fractal at given scale Fractal dimension 5 The fractal dimension of sets observed in the dynamics can be used as quantitative measure of the chaoticity

O.R. Proceedings of ICHEP 2006

p T max – momentum of a particle with the maximum momentum in the event

Disappearance of away side jet Pedestal&flow subtracted Phys. Rev. Lett. 91, (2003).

Azimuthal anisotropy

197 Au + Em at 11.6 A GeV/c BNL AGS, Experiment E minimum bias events

208 Pb + Em at 158 A GeV/c CERN SPS, EMU12 Experiment 628 minimum bias events

pC, dC, αC, 4.2A GeV/c Levy distribution CC 4.2A GeV/c

Shifts with A Broadening with A CC 4.2A GeV/c

Summary  Fractal dimension is sensitive to the global event structure  Fractal dimension analysis is useful to understand features in events  More specific methods which could be implemented to small number of the particles are needed

15 Thanks for attention & To organizers for invitation

Pythia 16