Pion production from a critical QCD phase

Antoniou, N. G.; Contoyiannis, Yiannis; Diakonos, F. Κ.; Karanikas, A. I.; Ktorides, C.N.

doi:10.1016/s0375-9474(01)00921-6

Cited by 67 publications

(111 citation statements)

References 39 publications

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“…We apply such an algorithm (Antoniou et al, 2001) which produces a random Levy walk in a two dimensions space with a controlled truncation. This algorithm provides that the components x of the walk is given by: x=b(1−gχ ) −1/µ .…”

Section: Levy Walk and Criticality In Terms Of A Numerical Experimentsmentioning

confidence: 99%

Tsallis and Levy statistics in the preparation of an earthquake

Contoyiannis

Eftaxias

2008

Nonlin. Processes Geophys.

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Abstract. Precursory fracture induced electromagnetic (EM) emissions, rooted in opening cracks and ranging from MHz to kHz, with the MHz appearing earlier, are produced and detected both at laboratory and geophysical scale. Recently, we have proposed the following two epochs/stages model of EQ generation: (i) The final kHz part is triggered by the fracture of high strength and large asperities that are distributed along the activated fault and sustain the system. (ii) The initial MHz part is thought to be due to the fracture of highly heterogeneous system that surrounds the family of asperities. Interestingly, the MHz EM time-series can be described in analogy with a thermal second order phase transition. Herein we focus on the MHz pre-seismic activity, and especially on the naturally arising question: what is the physical mechanism that organizes the heterogeneous system in its critical state? Combining ideas of Levy and Tsallis statistics and criticality with features hidden in the precursory MHz time-series we argue that a Levy walk type mechanism can organize the heterogeneous system to criticality. Based on a numerically produced truncated Levy walk, we propose a way to estimate in the stage of critical fluctuations: (i) the associated Levy index-a, which describes quantitatively the underlying Levy dynamics, and (ii) the range of values where the nonextesitive Tsallis index q is restricted. We also show that the kHz EM activity could not be described by a truncated Levy mechanism. This result further indicates an abrupt sweep of the population of asperities that sustain the system.

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Section: Levy Walk and Criticality In Terms Of A Numerical Experimentsmentioning

confidence: 99%

Tsallis and Levy statistics in the preparation of an earthquake

Contoyiannis

Eftaxias

2008

Nonlin. Processes Geophys.

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“…Indications of the critical point are visible in C+C and Si+Si collisions at 158A GeV [2] . Theoretical studies predict density fluctuations of zero mass σ particles produced abundantly in nuclear collisions at the critical point [3]. These fluctuations should obey a power law which reflects the critical nature of these density fluctuations.…”

Section: Fluctuations Of P T Multiplicity and The Number Of Low Masmentioning

confidence: 99%

“…These fluctuations should obey a power law which reflects the critical nature of these density fluctuations. The sigma states can be identified with π + π − pairs of invariant mass distributed near the two-pion threshold [3,4]. The second factorial moment of the number of pion pairs (with invariant masses above the Coulomb correlation region) with increasing number of 2-dim cells M 2 in transverse momentum space was analysed for real data and mixed events [4].…”

Section: Fluctuations Of P T Multiplicity and The Number Of Low Masmentioning

confidence: 99%

New results on event-by-event fluctuation in A+A collisions at CERN SPS

Stefanek¹

2012

Proceedings of the Seventh Workshop on Particle Correlations and Femtoscopy — PoS(WPCF2011)

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The study of central collisions of heavy nuclei at CERN SPS energies revealed rapid changes in the energy dependence of hadron production properties in a narrow range around 30A GeV. The results indicate the onset of deconfinement in the early stage of the produced system and motivate the ongoing search for the predicted critical point. NA49 data on event-by-event fluctuations of transverse momentum, multiplicity, particle ratios as well as low mass pion pair number fluctuations are shown as a function of beam energy and system size. The plans for the continuation of this program by the NA61/SHINE experiment are discussed.

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“…Ability to study jet textures at soft, as well as high, p T means that the study promises to be very informative because majority of the reconstructed tracks will be utilized. CMC is Critical Monte Carlo generator created by N.Antoniou and coworkers 8 . In the framework of an effective action approach, these authors simulate a system undergoing a second order QCD phase transition.…”

Section: Textures Of Jets and Critical Fluctuations In Event Generatorsmentioning

confidence: 99%

LONG RANGE HADRON DENSITY FLUCTUATIONS AT SOFT P_T IN AU + AU COLLISIONS AT RHIC

Kopytine

2003

Correlations and Fluctuations in QCD

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Dynamic fluctuations in the local density of non-identified hadron tracks reconstructed in the STAR TPC are studied using the discrete wavelet transform power spectrum technique which involves mixed event reference sample comparison. The two-dimensional event-by-event analysis is performed in pseudo-rapidity η and azimuthal angle φ in bins of transverse momentum p T . HIJING simulations indicate that jets and mini-jets result in characteristic signals, visible already at soft p T , when the dynamic texture analysis is applied. In this analysis, the discrepancy between the experiment and the HIJING expectations for Au+Au at √ S NN = 200 GeV is most prominent in the central collisions where we observe the long range fluctuations to be enhanced at low p T , and suppressed above p T = 0.6 GeV

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Pion production from a critical QCD phase

Cited by 67 publications

References 39 publications

Tsallis and Levy statistics in the preparation of an earthquake

Tsallis and Levy statistics in the preparation of an earthquake

New results on event-by-event fluctuation in A+A collisions at CERN SPS

LONG RANGE HADRON DENSITY FLUCTUATIONS AT SOFT P_T IN AU + AU COLLISIONS AT RHIC

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Pion production from a critical QCD phase

Cited by 67 publications

References 39 publications

Tsallis and Levy statistics in the preparation of an earthquake

Tsallis and Levy statistics in the preparation of an earthquake

New results on event-by-event fluctuation in A+A collisions at CERN SPS

LONG RANGE HADRON DENSITY FLUCTUATIONS AT SOFT PT IN AU + AU COLLISIONS AT RHIC

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LONG RANGE HADRON DENSITY FLUCTUATIONS AT SOFT P_T IN AU + AU COLLISIONS AT RHIC