Detailed description of accelerating, simple solutions of relativistic perfect fluid hydrodynamics

dc.creatorNagy, M. I.
dc.creatorCsorgo, T.
dc.creatorCsanad, M.
dc.date2007-09-24
dc.date.accessioned2026-07-07T11:19:33Z
dc.date.available2026-07-07T11:19:33Z
dc.descriptionIn this paper we describe in full details a new family of recently found exact solutions of relativistic, perfect fluid dynamics. With an ansatz, which generalizes the well-known Hwa-Bjorken solution, we obtain a wide class of new exact, explicit and simple solutions, which have a remarkable advantage as compared to presently known exact and explicit solutions: they do not lack acceleration. They can be utilized for the description of the evolution of the matter created in high energy heavy ion collisions. Because these solutions are accelerating, they provide a more realistic picture than the well-known Hwa-Bjorken solution, and give more insight into the dynamics of the matter. We exploit this by giving an advanced simple estimation of the initial energy density of the produced matter in high energy collisions, which takes acceleration effects (i.e. the work done by the pressure and the modified change of the volume elements) into account. We also give an advanced estimation of the life-time of the reaction. Our new solutions can also be used to test numerical hydrodynamical codes reliably. In the end, we also give an exact, 1+1 dimensional, relativistic hydrodynamical solution, where the initial pressure and velocity profile is arbitrary, and we show that this general solution is stable for perturbations.
dc.description34 pages, 8 figures, detailed write-up of http://arxiv.org/abs/nucl-th/0605070/
dc.identifierhttps://arxiv.org/abs/0709.3677
dc.identifierhttp://arxiv.org/abs/0709.3677
dc.identifierPhys.Rev.C77:024908,2008
dc.identifierdoi:10.1103/PhysRevC.77.024908
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193717
dc.subjectNuclear Theory
dc.titleDetailed description of accelerating, simple solutions of relativistic perfect fluid hydrodynamics
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