Entropy production in high-energy heavy-ion collisions and the correlation of shear viscosity and thermalization time

Journal Article · Wed Aug 15 04:00:00 EDT 2007 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.76.024910· OSTI ID:21061984

Dumitru, A ^[1]; Molnar, E ^[2]; Nara, Y ^[1]

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1. Institut fuer Theoretische Physik, Johann Wolfgang Goethe Universitaet, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main (Germany)
2. Frankfurt Institute for Advanced Studies, Johann Wolfgang Goethe Universitaet, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main (Germany)

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 the 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, the initial time {tau}{sub 0} for hydrodynamics is correlated to the viscosity. The conjectured lower bound for {eta}/s provides a lower limit for {tau}{sub 0}.

• OSTI ID: 21061984
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 2 Vol. 76; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COMPARATIVE EVALUATIONS
CORRELATIONS
DENSITY
ENTROPY
HEAVY ION REACTIONS
HYDRODYNAMIC MODEL
PARTICLE PRODUCTION
REYNOLDS NUMBER
SHEAR
STRESS RELAXATION
THERMALIZATION
VISCOSITY