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Mini-jet thermalization and diffusion of transverse correlations in heavy ion collisions Qun Wang ( Qun Wang ( ) ) Qun Wang ( Qun Wang ( ) ) Univ of Sci & Tech of China ( ) With L.G.Pang,X.N.Wang,R.Xu With


  1. Mini-jet thermalization and diffusion of transverse correlations in heavy ion collisions Qun Wang ( Qun Wang ( ) ) Qun Wang ( Qun Wang ( 王群 ) ) Univ of Sci & Tech of China ( 中国科技大学 ) With L.G.Pang,X.N.Wang,R.Xu With L.G.Pang,X.N.Wang,R.Xu , PRC 81,031903(2010) , PRC 81,031903(2010) With L.G.Pang,X.N.Wang,R.Xu With L.G.Pang,X.N.Wang,R.Xu, PRC 81,031903(2010) , PRC 81,031903(2010) 5th int. workshop on high pt physics at LHC 5th int. workshop on high pt physics at LHC 5th int. workshop on high pt physics at LHC, 5th int. workshop on high pt physics at LHC , , , Sept 27-Oct 1, Sept 27-Oct 1, Sept 27-Oct 1, Sept 27-Oct 1, 20 2010 20 20 10 10 10 ICN-UNAM, Mexico City ICN-UNAM, Mexico City ICN-UNAM, Mexico City ICN-UNAM, Mexico City

  2. Univ of Sci Univ of Sci ence ence & Tech & Tech nology nology of China of China (USTC) (USTC) Univ of Sci Univ of Science ence & Tech & Technology nology of China of China (USTC) (USTC) • T T The T he he he sole sole sole sole university university university university in in Chinese Academy of Sciences in in Chinese Academy of Sciences Chinese Academy of Sciences Chinese Academy of Sciences (CAS) and is the powerhouse of talents for hundreds of (CAS) and is the powerhouse of talents for hundreds of (CAS) and is the powerhouse of talents for hundreds of (CAS) and is the powerhouse of talents for hundreds of CAS institutes. CAS institutes. CAS institutes. CAS institutes. Top 5 in physics among 100 research Top 5 in physics among 100 research Top 5 in physics among 100 research Top 5 in physics among 100 research universities in china. universities in china. universities in china. universities in china. • H H H Hosts one of the strongest research teams in osts one of the strongest research teams in osts one of the strongest research teams in osts one of the strongest research teams in experimental and theoretical particle/nuclear physics in experimental and theoretical particle/nuclear physics in experimental and theoretical particle/nuclear physics in experimental and theoretical particle/nuclear physics in China. Our experimentalists have involved in major China. Our experimentalists have involved in major China. Our experimentalists have involved in major China. Our experimentalists have involved in major international international international international collaborations ATLAS, BELLE, D0 collaborations ATLAS, BELLE, D0 collaborations ATLAS, BELLE, D0 collaborations ATLAS, BELLE, D0,STAR ,STAR ,STAR ,STAR etc etc etc etc. . . . O O O Our theorists are ur theorists are ur theorists are ur theorists are actively involved in actively involved in actively involved in actively involved in related topics for related topics for related topics for related topics for LHC physics LHC physics LHC physics. LHC physics . . . L L ocated in Hefei, the capital city of Anhui Province, a ocated in Hefei, the capital city of Anhui Province, a • L Located in Hefei, the capital city of Anhui Province, a ocated in Hefei, the capital city of Anhui Province, a middle-sized city in Yangtze river delta, about 350 km middle-sized city in Yangtze river delta, about 350 km middle-sized city in Yangtze river delta, about 350 km middle-sized city in Yangtze river delta, about 350 km west of Shanghai and 800 km south of Beijing. The west of Shanghai and 800 km south of Beijing. The west of Shanghai and 800 km south of Beijing. The west of Shanghai and 800 km south of Beijing. The transportation to Hefei is convenient. It can be reached transportation to Hefei is convenient. It can be reached transportation to Hefei is convenient. It can be reached transportation to Hefei is convenient. It can be reached from Beijing or Shanghai by air or by newly constructed from Beijing or Shanghai by air or by newly constructed from Beijing or Shanghai by air or by newly constructed from Beijing or Shanghai by air or by newly constructed high speed railway (up to 350 km/hour) high speed railway (up to 350 km/hour) . . high speed railway (up to 350 km/hour) high speed railway (up to 350 km/hour). .

  3. Where is Hefei? Beijing Beijing Beijing Beijing Hefei Hefei Shanghai Shanghai Hefei Hefei Shanghai Shanghai Many flights every Many flights every Many flights every Many flights every day from Beijing or day from Beijing or day from Beijing or day from Beijing or Hong Kong Hong Kong Hong Kong Hong Kong Shanghai to Shanghai to Hefei Hefei Shanghai to Shanghai to Hefei Hefei u Xu u Xu 3/6 u Xu u Xu

  4. Yellow mountain (World Natural & Cultural Heritages by UNESCO) (World Natural & Cultural Heritages by UNESCO) (World Natural & Cultural Heritages by UNESCO) (World Natural & Cultural Heritages by UNESCO) Xidi and Hongcun Xidi and Hongcun Xidi and Hongcun Xidi and Hongcun (World Natural & Cultural Heritages by UNESCO) (World Natural & Cultural Heritages by UNESCO) (World Natural & Cultural Heritages by UNESCO) (World Natural & Cultural Heritages by UNESCO)

  5. Correlation in transverse plane φ φ φ φ Talks: Talks: Kettlemann, Kettlemann, J J alilian-Marian, alilian-Marian, Talks: Talks: Kettlemann, Kettlemann, J Jalilian-Marian, alilian-Marian, Putschke, R evol, Sawyer, Tejeda-Yeomans, et al. Putschke, Putschke, Putschke, R R Revol, Sawyer, Tejeda-Yeomans, et al. evol, Sawyer, Tejeda-Yeomans, et al. evol, Sawyer, Tejeda-Yeomans, et al.

  6. Elliptic and triangular flow fluctuation in nucleon position fluctuation in nucleon position fluctuation in nucleon position fluctuation in nucleon position leads to triangular flow leads to triangular flow leads to triangular flow leads to triangular flow Alver, Roland, Alver, Roland, PRC81, 054905 (2010) PRC81, 054905 (2010) Alver, Roland, Alver, Roland, PRC81, 054905 (2010) PRC81, 054905 (2010)

  7. Shear viscosity Transverse correlations

  8. What is viscosity related to RHIC viscosity = resistance of liquid to viscosity = resistance of liquid to viscosity = resistance of liquid to viscosity = resistance of liquid to shear forces (and hence to flow) shear forces (and hence to flow) shear forces (and hence to flow) shear forces (and hence to flow)

  9. Shear viscosity in ideal gas and liquid • ideal gas, high T • liquid, low T Frenkel, 1955 Frenkel, 1955 Frenkel, 1955 Frenkel, 1955 • lower bound by uncertainty principle Danielewicz, Gyulassy, 1985 Danielewicz, Gyulassy, 1985 Danielewicz, Gyulassy, 1985 Danielewicz, Gyulassy, 1985

  10. Ratio of Shear Viscosity to entropy density Lacey et al, Lacey et al, Lacey et al, Lacey et al, PRL98, PRL98, PRL98, PRL98, 092301 092301 092301 092301 (2007) (2007) (2007) (2007)

  11. Momentum fluctuation as tool to measure shear viscosity (1) Cylindrical coordinate Cylindrical coordinate Cylindrical coordinate Cylindrical coordinate E E nergy- nergy- M M omentum omentum tensor for fluid tensor for fluid E Energy- nergy-M Momentum omentum tensor for fluid tensor for fluid [Gavin [ [ [ Gavin Gavin, Abdel-Aziz, Gavin , Abdel-Aziz, , Abdel-Aziz, , Abdel-Aziz, EM conservation EM conservation EM conservation EM conservation leads leads leads to equation for fluctuation leads to equation for fluctuation to equation for fluctuation to equation for fluctuation PRL 2006] PRL 2006] PRL 2006] PRL 2006] local local local local rest rest rest rest frame frame frame frame

  12. Momentum fluctuation as tool to measure shear viscosity (2) Diffusion equation for momentum density Diffusion equation for momentum density Diffusion equation for momentum density Diffusion equation for momentum density Diffusion equation for momentum density in rapidity Diffusion equation for momentum density in rapidity Diffusion equation for momentum density in rapidity Diffusion equation for momentum density in rapidity and proper time and proper time and proper time and proper time

  13. Momentum fluctuation as tool to measure shear viscosity (3) Covariance of momentum fluctuation of momentum fluctuation of momentum fluctuation of momentum fluctuation Covariance Covariance Covariance Diffusion equation for co Diffusion equation for co variance variance Diffusion equation for co Diffusion equation for covariance variance is broadened by diffusion is broadened by diffusion driven by shear viscosity driven by shear viscosity is broadened by diffusion is broadened by diffusion driven by shear viscosity driven by shear viscosity

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