Effect of intense magnetic fields on reduced-magnetohydrodynamics evolution in sNN=200 GeV Au + Au collisions

2017/06/30 by Victor Roy, Shi Pu, Luciano Rezzolla +1
Mathematics · Physics and Astronomy · #Electrical resistivity and conductivity #Field (mathematics) #Geometry #High-Energy Particle Collisions Research #Magnetic field #Magnetohydrodynamics #Mathematical physics #Mathematics #Physics #Plane (geometry) #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #nucl-th

paper · pdf · doi:10.1103/physrevc.96.054909

published as Phys. Rev. C 96, 054909 (2017) · 12 pages, 6 figures, new discussion added, published in Phys.Rev.C

openalex created_date 2017/06/23 · openalex publication_date 2017/11/30 · arxiv created 2017/12/16 · arxiv updated 2017/12/19 · openalex updated_date 2026/08/05

Abstract

We investigate the effect of large magnetic fields on the (2+1)-dimensional reduced-magnetohydrodynamical expansion of hot and dense nuclear matter produced in √s_NN=200 GeV Au+Au collisions. For the sake of simplicity, we consider the case where the magnetic field points in the direction perpendicular to the reaction plane. We also consider this field to be external, with energy density parametrized as a two-dimensional Gaussian. The width of the Gaussian along the directions orthogonal to the beam axis varies with the centrality of the collision. The dependence of the magnetic field on proper time (\ensuremathτ) for the case of zero electrical conductivity of the QGP is parametrized following Deng et al. [Phys. Rev. C 85, 044907 (2012)], and for finite electrical conductivity following Tuchin [Phys. Rev. C 88, 024911 (2013)]. We solve the equations of motion of ideal hydrodynamics for such an external magnetic field. For collisions with nonzero impact parameter we observe considerable changes in the evolution of the momentum eccentricities of the fireball when comparing the case when the magnetic field decays in a conducting QGP medium and when no magnetic field is present. The elliptic-flow coefficient v₂ of \ensuremathπ^\ensuremath- is shown to increase in the presence of an external magnetic field and the increment in v₂ is found to depend on the evolution and the initial magnitude of the magnetic field.

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