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Charge-dependent correlations from event-by-event anomalous hydrodynamics [arXiv:1412.0311] Yuji Hirono [Stony Brook Univ.] Collaborators: T. Hirano [Sophia U], D. E. Kharzeev [SBU/BNL] 1
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2 Anomalous transport in heavy-ion collisions? [STAR, PRL2009, PRC2010] [ALICE, PRL2013]
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[STAR, PRL2009, PRC2010] 3 Anomalous transport in heavy-ion collisions? [ALICE, PRL2013] Outline 1. Physical meaning of obs. 2. EbE anomalous hydro 3. Results
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Charge dependent correlations [STAR] 4
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6 B
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7 B
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10 Anomalous transport in heavy-ion collisions? [STAR, PRL2009, PRC2010] [ALICE, PRL2013] □Event-by-event anomalous hydro □Initial random
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Event-by-event anomalous hydrodynamic model 11 Anomalous hydro evolution Freeze-out Correlations Initial state An initial cond. Particle data for 1 event
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Non-dissipative anomalous fluid in 3+1D no viscosity/Ohmic conductivity Background electromagnetic fields Anomalous hydrodynamics equations 12
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Equation of state - conformal massless quarks & gluons Anomalous hydrodynamics equations 13 Constitutive equations CME CSE
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MC Sampling of particles Isothermal hypersurface Linux cluster at Sophia Univ. - 128 cores - A few days per 100k events Linux cluster at Sophia Univ. - 128 cores - A few days per 100k events Can be written as 1D integral! [ PPNP70, 108[arxiv:1204.5814] ] K. Murase [U-Tokyo]
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15 Anomalous transport in heavy-ion collisions? [STAR, PRL2009, PRC2010] [ALICE, PRL2013] □Event-by-event anomalous hydro □Initial random ✓
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: # of pairs : # of ( ) Axial charges from color flux tubes 20
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Axial charges from color flux tubes 21
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Axial charges from color flux tubes 22 Sign of
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Axial charges from color flux tubes 23 Sign of
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estimated by anomaly equation 24
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25 - RHIC energy - b=7.2fm(20-30%) - B
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26 - RHIC energy - b=7.2fm(20-30%) - 26 B
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27 Anomalous transport in heavy-ion collisions? [STAR, PRL2009, PRC2010] [ALICE, PRL2013] □Event-by-event anomalous hydro □Initial random ✓ ✓
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Correlations:, 28 - b=7.2(20-30%) - RHIC energy - 100k events -
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Why fluctuation also become larger? 29
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Correlations:, 30 - b=7.2(20-30%) - RHIC energy - 100k events - Anti-correlation btw. &___
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(same) vs centrality 31
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(opposite) vs centrality 32
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Background effects Transverse momentum conservation Local charge conservation Cluster particle correlations 33 [ S. Pratt, S. Schlichting, S. Gavin, PRC(2011) ] [ S. Schlichting and S. Pratt, PRC(2011) ] [ F. Wang, PRC(2010) ] [ A. Bzdak, V. Koch, J. Liao, PRC(2011) ] In our current simulations, multi-particle correlations are not imposed Cooper-Frye formula → single-particle distributions [ Y. Hori, S. Schlichting, et al [1208.0603] ]
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34 Anomalous transport in heavy-ion collisions? [STAR, PRL2009, PRC2010] [ALICE, PRL2013] □Event-by-event anomalous hydro □Initial random ✓ ✓ Outlook pt & eta dependence Better experimental observables Dissipations/back reaction/CVE/2-particle correlation/…
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Possible improvements 35 Anomalous hydro evolution Freeze-out Correlations Initial state - n5 profile based on CGC - Charge separation in glasma - More realistic EOS with mu & mu5 dep. - CVE - Backreaction to EM fields - Dissipational effects - viscosity - conductivity - Multi-particle corr. - Differential analysis - eta, pt - Parameter dep. - Cmu5, B, √s - New obs. insensitive to background
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Backup slides 36
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Background magnetic fields 37
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vs centrality 38
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Electromagnetic fields 39
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