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Nuclear Theory

arXiv:1602.04954 (nucl-th)
[Submitted on 16 Feb 2016 (v1), last revised 20 Mar 2016 (this version, v2)]

Title:Transverse flow induced by inhomogeneous magnetic fields in the Bjorken expansion

Authors:Shi Pu, Di-Lun Yang
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Abstract:We investigate the magnetohydrodynamics in the presence of an external magnetic field following the power-law decay in proper time and having spatial inhomogeneity characterized by a Gaussian distribution in one of transverse coordinates under the Bjorken expansion. The leading-order solution is obtained in the weak-field approximation, where both energy density and fluid velocity are modified. It is found that the spatial gradient of the magnetic field results in transverse flow, where the flow direction depends on the decay exponents of the magnetic field. We suggest that such a magnetic-field-induced effect might influence anisotropic flow in heavy ion collisions.
Comments: 14 pages, 15 figures, minor revisions, two figures added, journal version accepted by PRD
Subjects: Nuclear Theory (nucl-th); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1602.04954 [nucl-th]
  (or arXiv:1602.04954v2 [nucl-th] for this version)
  https://doi.org/10.48550/arXiv.1602.04954
Related DOI: https://doi.org/10.1103/PhysRevD.93.054042

Submission history

From: Di-Lun Yang [view email]
[v1] Tue, 16 Feb 2016 09:14:58 UTC (1,400 KB)
[v2] Sun, 20 Mar 2016 17:23:39 UTC (1,436 KB)
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