Vorticity and magnetic field production in relativistic ideal fluids

Abstract

In the framework of relativistic ideal hydrodynamics, we study the production mechanism for vorticity and magnetic field in relativistic ideal fluids. It is demonstrated that in the uncharged fluids the thermal vorticity will always satisfy the Kelvin's theorem and the circulation must be conserved. However, in the charged fluids, the vorticity and magnetic field can be produced by the interaction between the entropy gradients and the fluid velocity gradients. Especially, in the multiple charged fluids, the vorticity and magnetic field can be produced by the interaction between the inhomogenous charge density ratio and the fluid velocity gradients even if the entropy distribution is homogeneous, which provides another mechanism for the production of vorticity and magnetic field in relativistic plasmas or in the early universe.

arXiv comment13 pages, published version in PRD

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Cited by in corpus (10)

• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Vorticity in Heavy-Ion Collisions
• Local spin polarization in high energy heavy ion collisions
• Chiral Magnetic Effects in Nuclear Collisions
• Generalized Magnetofluid Connections in Relativistic Magnetohydrodynamics
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Generalized Magnetofluid Connections in Pair Plasmas
• Probing vorticity in heavy ion collision with dilepton production
• New symmetry for the imperfect fluid
• Symmetry evolution for the imperfect fluid under perturbations