Shear Viscosity and Viscous EntropyProduction in Hot QGP at Finite Density报告人：刘绘
Shear Viscosity and Viscous Entropy Production in Hot QGP at Finite Density 报告人： 刘 绘
Perfect fluid ?Ocharged hadrons0.25Well fitted bythekgA+^口idealhydrodynamic0.2ModelResultsmodel atP<2GeV.pionkaon0.15protonHowto understand?LambdaDissipative0.structures!0.05Iy/<1PRL89(2002)1323011100.51.522.533.51Transversemomentump(GeV/c)Ellipticflowv2asafunctionofptforthestrangeparticles andfrom minimum-biasinAu+Au130GeVcollisions刘绘华中师范大学粒子所高能物理年会桂林（2006）
Perfect fluid ? Elliptic flow v2 as a function of pt for the strange particles and from minimum-bias in Au+Au 130GeV collisions. • Well fitted by the ideal hydrodynamic model at PT<2GeV. • How to understand? • Dissipative structures! PRL89(2002)132301 高能物理年会 桂林（2006） 刘绘 华中师范大学粒子所 2
续物理年漆节棒粒206Irreversible thermodynamics & dissipative structureAS=ZTX(X;- driving force)Entropy production2T=LuX(Li transport coefficients)Thermal flux3TW=Tu+元WEnergy-momentumtensor2O,ui+o,=-nTransportcoefficientDriving forceXuIntrinsic propertyenvironmentSuperstringtheory inTheratiooftransportcoefficientEvolution ofentropyequilibriumstatetotheentropyproductiondensityreflectsthe driving force1n4元s
Evolution of entropy density Irreversible thermodynamics & dissipative structure ◼ Entropy production ◼ Thermal flux ( - transport coefficients) ( - driving force) ◼ Energy-momentum tensor The ratio of transport coefficient to the entropy production reflects the driving force Superstring theory in equilibrium state Driving force Xij environment Transport coefficient Intrinsic property 刘绘3高能物理年会 华中师范大学粒子所 桂林（2006）
继物弹年横粒206Kinetics theory IEnergy-momentumtensorpipiTiigff(t,x;p) + 9f(t,x;p) +gb(t,x;p)fermionanti-fermionbosonCorrespondingly,(gr8f+ 9f8 + 966)=8()=n(0u +0,0,ol)S(Tii)PoFluctuationof distribution fs = Ns + Sfs(s:species)sf=ns(p)[1±ns(p)]ps(x;p)ps(x; p) = β2Is(p)X;(x)xs(p)
Kinetics theory I Energy-momentum tensor fermion anti-fermion boson Correspondingly, Fluctuation of distribution (s: species) 刘绘4高能物理年会 华中师范大学粒子所 桂林（2006）
潮继物弹年横粒206Kinetics theory IIBoltzmannEguation000Ffs(t,x;p) = -(Cf.)(t,x:p4extOtapOxtwo-bodyscatteringamplitudecollisionterm1IM(P,K:P",K)2元)*s()(P+K-P-K)(Cf.) (x; p)2/p.k.k(2po)(2po)(2ko)(2ko)X(f(p)f.(k)[1± f(p)][1±f.(k)] -fs(p)fs(k)[1±f(p)][1±f(k)Recast the Boltzmann equation Si,(p) = (Cxi)(p)=-Tpns(p)[1±ns(p)]i(p)Si,(p)P.Arnold,G.D.MooreandG.Yaffe,Xi,(p)三Iu(p)xs(p)JHEP0011(00)001
Kinetics theory II Boltzmann Equation collision term two-body scattering amplitude Recast the Boltzmann equation P.Arnold, G.D.Moore and G.Yaffe, JHEP 0011(00)001 刘绘5高能物理年会 华中师范大学粒子所 桂林（2006）