Phase Transitions and the Perfectness of Fluids

Details Phase Transitions and the Perfectness of Fluids Phase Transitions and the Perfectness of Fluids

2007-09-21

arxiv.org/abs/0709.3434v4

Phys.Lett.B670:18-21,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 2 figures; Fig. 2 changed; journal version

Scientific paper

10.1016/j.physletb.2008.10.024

We calculate the ratio eta/s, the shear viscosity (eta) to entropy density (s), which characterizes how perfect a fluid is, in weakly coupled real scalar field theories with different types of phase transitions. The mean-field results of the eta/s behaviors agree with the empirical observations in atomic and molecular systems such as water, He, N, and all the matters with data available in the NIST database. These behaviors are expected to be the same in N component scalar theories with an O(N) symmetry. We speculate these eta/s behaviors are general properties of fluid shared by QCD and cold atoms. Finally, we clarify some issues regarding counterexamples of the conjectured universal eta/s bound found in Refs.[16,17].

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