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Does the NJL chiral phase transition affect the elliptic flow of a fluid at fixed [eta]/s?
We have derived and solved numerically the Boltzmann-Vlasov transport equations that includes both two-body collisions and the chiral phase transition by mean of NJL-field dynamics. The scope is to understand if the field dynamics supply new genuine effects on the build-up of the elliptic flow v sub...
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Published in: | Physics letters. B 2010-05, Vol.689 (1), p.18-22 |
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Main Authors: | , , , , |
Format: | Article |
Language: | English |
Subjects: | |
Online Access: | Get full text |
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Summary: | We have derived and solved numerically the Boltzmann-Vlasov transport equations that includes both two-body collisions and the chiral phase transition by mean of NJL-field dynamics. The scope is to understand if the field dynamics supply new genuine effects on the build-up of the elliptic flow v sub(2, a measure of the asymmetry in the momentum space, and in particular if it can affect the relation between v) sub(2) and the shear viscosity to entropy ratio [eta]/s. Solving the transport equation with a constant cross section for the condition of Au+Au collisions at [inline image][inline image] it is shown a sizable suppression of v sub(2 due to the attractive nature of the field dynamics that generates the constituent mass. However the key result is that if [eta]/s of the system is kept fixed by an appropriate local renormalization of the cross section the v) sub(2) does not depend on the details of the collisional and/or field dynamics and in particular it is not affected significantly by the chiral phase transition. |
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ISSN: | 0370-2693 |
DOI: | 10.1016/j.physletb.2010.04.034 |