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.
Keywords
Cite
@article{arxiv.1406.1944,
title = {Vorticity and magnetic field production in relativistic ideal fluids},
author = {Jian-Hua Gao and Bin Qi and Shou-Yu Wang},
journal= {arXiv preprint arXiv:1406.1944},
year = {2015}
}
Comments
13 pages, published version in PRD