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Hourglass magnetic field from a survey of current density profiles
Institution:1. Department of Applied Mathematics, University of Western Ontario, London, ON, N6A 5B7, Canada;2. Department of Physics & Astronomy, University of Western Ontario, London, ON, N6A 3K7, Canada;1. Department of Mathematics, University of Delhi, New Delhi, India;2. Department of Mathematics, Sri Aurobindo College, University of Delhi, Delhi, 110017, India;3. Department of Mathematics, Deshbandhu college, University of Delhi, Delhi, 110019, India;4. Department of Physics, Deshbandhu college, University of Delhi, Delhi, 110019, India;5. Department of Mathematics, ARSD College, University of Delhi, Delhi, 110021, India;6. Center for Fundamental Research in Space Dynamics and Celestial Mechanics (CFRSC), New Delhi, Delhi, 110085, India;7. DBC i4 Centre, Deshbandhu College, University of Delhi, New Delhi, 110019, India;1. Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria;2. Department of Mathematical Sciences, Faculty of Physical Sciences, Federal University Dutsin-Ma, Katsina State, Nigeria
Abstract:Modeling the magnetic field in prestellar cores can serve as a useful tool for studying the initial conditions of star formation. The analytic hourglass model of Ewertowski and Basu (2013) provides a means to fit observed polarimetry measurements and extract useful information. The original model does not specify any radial distribution of the electric current density. Here, we perform a survey of possible centrally-peaked radial distributions of the current density, and numerically derive the full hourglass patterns. Since the vertical distribution is also specified in the original model, we can study the effect of different ratios of vertical to radial scale length on the overall hourglass pattern. Different values of this ratio may correspond to different formation scenarios for prestellar cores. We demonstrate the flexibility of our model and how it can be applied to a variety of magnetic field patterns.
Keywords:Interstellar clouds  Interstellar magnetic fields  Star forming regions
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