Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2007-06-14
Phys.Rev.C76:024910,2007
Physics
Nuclear Physics
Nuclear Theory
10 pages, 10 figures, Text updated, references added, two new figures added, normalization in Fig.1 corrected, final version t
Scientific paper
10.1103/PhysRevC.76.024910
We study entropy production in the early stage of high-energy heavy-ion collisions due to shear viscosity. We employ the second-order theory of Israel-Stewart with two different stress relaxation times, as appropriate for strong coupling or for a Boltzmann gas, respectively, and compare the hydrodynamic evolution. Based on present knowledge of initial particle production, we argue that entropy production is tightly constrained. We derive new limits on the shear viscosity to entropy density ratio $\eta/s$, independent from elliptic flow effects, and determine the corresponding Reynolds number. Furthermore, we show that for a given entropy production bound, that the initial time $\tau_0$ for hydrodynamics is correlated to the viscosity. The conjectured lower bound for $\eta/s$ provides a lower limit for $\tau_0$.
Dumitru Adrian
Molnar Emil
Nara Yasushi
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