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Title: Constraining relativistic viscous hydrodynamical evolution

Abstract

We show that by requiring positivity of the longitudinal pressure it is possible to constrain the initial conditions one can use in second-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 second-order viscous hydrodynamical evolution equations appropriate to describe the evolution of matter in an ultrarelativistic heavy-ion collision.

Authors:
 [1];  [2]
  1. Helmholtz Research School and Otto Stern School, Goethe-Universitaet Frankfurt am Main Ruth-Moufang-Strasse 1, D-60438 Frankfurt am Main (Germany)
  2. Physics Department, Gettysburg College Gettysburg, Pennsylvania 17325 (United States)
Publication Date:
OSTI Identifier:
21286891
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 79; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevC.79.044903; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; APPROXIMATIONS; EQUATIONS; HEAVY ION REACTIONS; HYDRODYNAMIC MODEL; MATHEMATICAL SOLUTIONS; ONE-DIMENSIONAL CALCULATIONS; RELATIVISTIC RANGE; SIMULATION

Citation Formats

Martinez, Mauricio, and Strickland, Michael. Constraining relativistic viscous hydrodynamical evolution. United States: N. p., 2009. Web. doi:10.1103/PHYSREVC.79.044903.
Martinez, Mauricio, & Strickland, Michael. Constraining relativistic viscous hydrodynamical evolution. United States. doi:10.1103/PHYSREVC.79.044903.
Martinez, Mauricio, and Strickland, Michael. 2009. "Constraining relativistic viscous hydrodynamical evolution". United States. doi:10.1103/PHYSREVC.79.044903.
@article{osti_21286891,
title = {Constraining relativistic viscous hydrodynamical evolution},
author = {Martinez, Mauricio and Strickland, Michael},
abstractNote = {We show that by requiring positivity of the longitudinal pressure it is possible to constrain the initial conditions one can use in second-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 second-order viscous hydrodynamical evolution equations appropriate to describe the evolution of matter in an ultrarelativistic heavy-ion collision.},
doi = {10.1103/PHYSREVC.79.044903},
journal = {Physical Review. C, Nuclear Physics},
number = 4,
volume = 79,
place = {United States},
year = 2009,
month = 4
}
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