Enhancement of Elliptic Flow of π− under Intense Magnetic Field in √ sNN = 200 GeV Au+Au Collisions: A (2 + 1)-Dimensional Reduced-MHD Model Study
National Institute of Science Education and Research, HBNI, Jatani 752050, India
Universe 2017, 3(4), 82; https://doi.org/10.3390/universe3040082
Received: 6 November 2017
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Revised: 19 November 2017
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Accepted: 22 November 2017
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Published: 30 November 2017
(This article belongs to the Special Issue BGL2017: 10th Bolyai-Gauss-Lobachevsky Conference on Non-Euclidean Geometry and Its Applications)
We investigate the effect of intense magnetic fields on the -dimensional reduced- magnetohydrodynamical (MHD) expansion of hot and dense quark–gluon plasma (QGP) produced in = 200 GeV Au+Au collisions. For the sake of simplicity, we consider the case in which 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 ( ) is parametrized for the case of zero and finite electrical conductivity of the QGP. We solve the equations of motion of ideal hydrodynamics for such an external magnetic field. For collisions with a non-zero impact parameter we observe a considerable increase in the elliptic-flow coefficient of in the presence of an external magnetic field, and the increment in is found to depend on the evolution and the initial magnitude of the magnetic field.
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MDPI and ACS Style
Roy, V. Enhancement of Elliptic Flow of π− under Intense Magnetic Field in √ sNN = 200 GeV Au+Au Collisions: A (2 + 1)-Dimensional Reduced-MHD Model Study. Universe 2017, 3, 82. https://doi.org/10.3390/universe3040082
AMA Style
Roy V. Enhancement of Elliptic Flow of π− under Intense Magnetic Field in √ sNN = 200 GeV Au+Au Collisions: A (2 + 1)-Dimensional Reduced-MHD Model Study. Universe. 2017; 3(4):82. https://doi.org/10.3390/universe3040082
Chicago/Turabian StyleRoy, Victor. 2017. "Enhancement of Elliptic Flow of π− under Intense Magnetic Field in √ sNN = 200 GeV Au+Au Collisions: A (2 + 1)-Dimensional Reduced-MHD Model Study" Universe 3, no. 4: 82. https://doi.org/10.3390/universe3040082
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