Bjorken flow in one-dimensional relativistic magnetohydrodynamics with magnetization

Shi Pu, Victor Roy, Luciano Rezzolla, and Dirk H. Rischke
Phys. Rev. D 93, 074022 – Published 18 April 2016

Abstract

We study the one-dimensional, longitudinally boost-invariant motion of an ideal fluid with infinite conductivity in the presence of a transverse magnetic field, i.e., in the ideal transverse magnetohydrodynamical limit. In an extension of our previous work Roy et al., [Phys. Lett. B 750, 45 (2015)], we consider the fluid to have a nonzero magnetization. First, we assume a constant magnetic susceptibility χm and consider an ultrarelativistic ideal gas equation of state. For a paramagnetic fluid (i.e., with χm>0), the decay of the energy density slows down since the fluid gains energy from the magnetic field. For a diamagnetic fluid (i.e., with χm<0), the energy density decays faster because it feeds energy into the magnetic field. Furthermore, when the magnetic field is taken to be external and to decay in proper time τ with a power law τa, two distinct solutions can be found depending on the values of a and χm. Finally, we also solve the ideal magnetohydrodynamical equations for one-dimensional Bjorken flow with a temperature-dependent magnetic susceptibility and a realistic equation of state given by lattice-QCD data. We find that the temperature and energy density decay more slowly because of the nonvanishing magnetization. For values of the magnetic field typical for heavy-ion collisions, this effect is, however, rather small. It is only for magnetic fields about an order of magnitude larger than expected for heavy-ion collisions that the system is substantially reheated and the lifetime of the quark phase might be extended.

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  • Received 22 February 2016

DOI:https://doi.org/10.1103/PhysRevD.93.074022

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsNuclear Physics

Authors & Affiliations

Shi Pu1, Victor Roy1, Luciano Rezzolla1,2, and Dirk H. Rischke1

  • 1Institute for Theoretical Physics, Goethe University, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany
  • 2Frankfurt Institute for Advanced Studies, Goethe University, Ruth-Moufang-Strasse 1, 60438 Frankfurt am Main, Germany

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Issue

Vol. 93, Iss. 7 — 1 April 2016

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