Analytic Solutions of Transverse Magneto-hydrodynamics under Bjorken Expansion
1 Institute for Theoretical Physics, Goethe University, Max-von-Laue-Str. 1, 60438 Frankfurt am Main, Germany
2 Theoretical Research Division, Nishina Center, RIKEN, Wako, Saitama 351-0198, Japan
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Published online: 22 March 2017
We review the recent developments of analytic solutions in transverse magneto-hydrodynamics under Bjorken expansion. It is found that the time dependence of magnetic fields can either increase or reduce the energy density depending on the decay exponent of magnetic fields. Moreover, perturbative solutions under weak magnetic fields with spatial inhomogeneity results in transverse flow, where the directions of flow also depend on the decay exponent of magnetic fields in time.
© The Authors, published by EDP Sciences, 2017
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