Phase Transitions and the Perfectness of Fluids
arXiv:0709.3434 · doi:10.1016/j.physletb.2008.10.024
Abstract
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].
5 pages, 2 figures; Fig. 2 changed; journal version
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Cited by in corpus (9)
- Shear Viscosity from Effective Couplings of Gravitons
- Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
- Shear Viscosity from AdS Born-Infeld Black Holes
- Hydrodynamics with conserved current via AdS/CFT correspondence in the Maxwell-Gauss-Bonnet gravity
- The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity
- Thermodynamic properties and bulk viscosity near phase transition in the Z(2) and O(4) models
- Minimum Shear Viscosity over Entropy Density at Phase Transition? --- A Counterexample
- Shear Viscosity in Weakly Coupled N-Component Scalar Field Theories
- eta/s is critical (at phase transitions)