Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-11-10
PoS LAT2009:196,2009
Physics
High Energy Physics
High Energy Physics - Lattice
8 pages, 2 figures. Contribution to The XXVII International Symposium on Lattice Field Theory, July 26-31, 2009, Peking Univer
Scientific paper
Navier-Stokes equations are known as hydrodynamic equations which take account of effects of dissipations. There are, however, problems in the relativistic Navier-Stokes equations, i.e. the equations violate causality. Israel-Stewart equations, which evade the problems of Navier-Stokes equations by introducing new parameters, such as the relaxation times, have recently been used in describing the space-time evolution of the quark-gluon plasma produced in high energy heavy ion collisions. The viscosities and the relaxation times are related to each other by imposing entropy constraints on the system. According to Boltzmann-Einstein principle, the probability distribution of the fluctuation in the energy-momentum tensor is related to the entropy of the system. Applying this principle to the entropy in Israel-Stewart theory, one can obtain the ratios of the viscosities to the relaxation times. We evaluate the ratios of the viscosities to the relaxation times in SU(3) lattice gauge theory.
Asakawa Masayuki
Kitazawa Masakiyo
Kohno Yasuhiro
Nonaka Chiho
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