Analytic Solutions of Transverse Magneto-hydrodynamics under Bjorken Expansion

2016/11/15 by Shi Pu, Pu, Shi, Di-Lun Yang +1
Engineering · Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #High Energy Physics - Phenomenology (hep-ph) #Navier-Stokes equation solutions #Nuclear Theory (nucl-th)

paper · pdf · doi:10.48550/arxiv.1611.04840

openalex publication_date 2016/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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