Constraining relativistic viscous hydrodynamical evolution

Details Constraining relativistic viscous hydrodynamical evolution Constraining relativistic viscous hydrodynamical evolution

2009-02-23

arxiv.org/abs/0902.3834v2

Phys.Rev.C79:044903,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 9 figures; v2 - minor typos corrected and update to published version which appears in PRC

Scientific paper

10.1103/PhysRevC.79.044903

We show that by requiring positivity of the longitudinal pressure it is possible to constrain the initial conditions one can use in 2nd-order viscous hydrodynamical simulations of ultrarelativistic heavy-ion collisions. We demonstrate this explicitly for 0+1 dimensional viscous hydrodynamics and discuss how the constraint extends to higher dimensions. Additionally, we present an analytic approximation to the solution of 0+1 dimensional 2nd-order viscous hydrodynamical evolution equations appropriate to describe the evolution of matter in an ultrarelativistic heavy-ion collision.

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