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Study of the multiparticle event structure with fractal dimension

Study of the multiparticle event structure with fractal dimension. Oleg Rogachevsky JINR. July 1st, 2011. Self-similarity & scaling in nuclear collisions.

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Study of the multiparticle event structure with fractal dimension

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

  2. Self-similarity & scaling in nuclear collisions Recently, a large variety of experimental results indicated that multiparticleproduction 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, …

  3. Some effects in high energy AuAu collisions Disappearance of away side jet Pedestal&flow subtracted Phys. Rev. Lett. 91, 072304 (2003). and more others ...

  4. Deterministic chaos Collections of small entities (particles or whatever) behave haphazardly, even though physical laws govern the particles individually 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 A fractal is a shape made of parts similar to the whole in some way E.Feder Garnett P. Williams “Chaos Theory Tamed” Deterministic chaos  chaos results from deterministic process

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

  6. STAR = 200 GeV O.R. Proceedings of ICHEP 2006

  7. STAR = 200 & 62 GeV pT max– momentum of a particle with the maximum momentum in the event

  8. Disappearance of away side jet Phys. Rev. Lett. 91, 072304 (2003). Pedestal&flow subtracted y < 0.7 4 < † < 6 GeV/c, • 2 < † < † †

  9. Azimuthal anisotropy • sensitivity to the system geometry for production at all measured

  10. EmulsionA GeV/c 197Au + Em at 11.6 A GeV/c BNL AGS, Experiment E863 • 1165 minimum bias events

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

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

  13. Events vs @ 4.2A GeV/c CC 4.2A GeV/c Shifts with A Broadening with A

  14. 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

  16. Pythia

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