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Magnetohydrodynamic (MHD) simulations of the solar atmosphere are often performed under the assumption that the plasma is fully ionized. However, in the lower solar atmosphere a reduced temperature often results in only the partial…

Solar and Stellar Astrophysics · Physics 2022-11-09 Conor D. MacBride , David B. Jess , Elena Khomenko , Samuel D. T. Grant

Ambipolar diffusion is a process occurring in partially ionised astrophysical systems that imparts a complicated mathematical and physical nature to Ohm's law. The numerical codes that solve the magnetohydrodynamic (MHD) equations have to…

Solar and Stellar Astrophysics · Physics 2022-06-15 F. Moreno-Insertis , D. Nóbrega-Siverio , E. R. Priest , A. W. Hood

We describe a method for incorporating ambipolar diffusion in the strong coupling approximation into a multidimensional magnetohydrodynamics code based on the total variation diminishing scheme. Contributions from ambipolar diffusion terms…

Astrophysics · Physics 2009-11-13 Eunwoo Choi , Jongsoo Kim , Paul J. Wiita

Magnetic fields play a role in the dynamics of many astrophysical processes, but they are hard to detect. In a partially ionized plasma, a magnetic field works directly on the ionized medium but not on the neutral medium, which gives rise…

Solar and Stellar Astrophysics · Physics 2020-06-24 Boy Lankhaar , Wouter Vlemmings

Astrophysical fluids under the influence of magnetic fields are often subjected to single-fluid or two-fluid approximations. In the case of weakly ionized plasmas however, this can be inappropriate due to distinct responses from the…

Astrophysics · Physics 2008-11-26 S. O'Sullivan , T. P. Downes

We present a semi-implicit method for isothermal two-fluid ion-neutral ambipolar drift that is second-order accurate in space and time. The method has been implemented in the RIEMANN code for astrophysical fluid dynamics. We present four…

Astrophysics · Physics 2009-11-13 David A. Tilley , Dinshaw S. Balsara

We derive the dynamics of magnetohydrodynamic waves in two-fluid partially ionized plasmas and to compare the results with those obtained under single-fluid description. Two-fluid magnetohydrodynamic equations are used, where ion-electron…

Solar and Stellar Astrophysics · Physics 2015-05-27 T. V. Zaqarashvili , M. K. Khodachenko , H. O. Rucker

Most numerical investigations on the role of magnetic fields in turbulent molecular clouds (MCs) are based on ideal magneto-hydrodynamics (MHD). However, MCs are weakly ionized, so that the time scale required for the magnetic field to…

Astrophysics · Physics 2009-11-13 Pak Shing Li , Christopher F. McKee , Richard I. Klein , Robert T. Fisher

Magneto-acoustic waves in partially ionized plasmas are damped due to elastic collisions between charged and neutral particles. Here, we use a linearized two-fluid model to describe the influence of this collisional interaction on the…

Plasma Physics · Physics 2025-10-17 David Martínez-Gómez

Numerical methods to improve the treatment of magnetic fields in smoothed field magnetohydrodynamics (SPMHD) are developed and tested. Chapter 2 is a review of SPMHD. In Chapter 3, a mixed hyperbolic/parabolic scheme is developed which…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 Terrence S. Tricco

Given the importance of simulating hydromagnetic processes that impact star formation, we have earlier developed a 3D adaptive mesh approach that allows us to include hydromagnetic processes during the formation and evolution of cores,…

Astrophysics · Physics 2009-11-13 D. F. Duffin , R. E. Pudritz

Ambipolar diffusion is a physical mechanism related to the drift between charged and neutral particles in a partially ionized plasma that is key in many different astrophysical systems. However, understanding its effects is challenging due…

Solar and Stellar Astrophysics · Physics 2020-07-01 D. Nóbrega-Siverio , J. Martínez-Sykora , F. Moreno-Insertis , M. Carlsson

We theoretically investigate the interplay between magnetohydrodynamic (MHD) waves and shear flows in a partially ionized solar plasma, focusing on the energy exchange mediated by the flow and the transformation between wave modes. We…

Solar and Stellar Astrophysics · Physics 2025-08-07 Miquel Cantallops , Roberto Soler

We present an investigation on effect of the ion-neutral (or ambipolar) diffusion heating rate on thermal phases of a molecular cloud. We use the modeling of ambipolar diffusion with two-fluid smoothed particle hydrodynamics, as discussed…

Astrophysics · Physics 2008-04-29 M. Nejad-Asghar , D. Molteni

The chromosphere is a partially ionized layer of the solar atmosphere, the transition between the photosphere where the gas motion is determined by the gas pressure and the corona dominated by the magnetic field. We study the effect of…

Solar and Stellar Astrophysics · Physics 2021-09-29 Beatrice Popescu Braileanu , Rony Keppens

In this paper we show how the Smoothed Particle Hydrodynamics (SPH) equations for ideal magnetohydrodynamics (MHD) can be written in conservation form with the positivity of the dissipation guaranteed. We call the resulting algorithm…

Astrophysics · Physics 2016-08-30 D. J. Price , J. J. Monaghan

We study the effect of the non-linear process of ambipolar diffusion (joint transport of magnetic flux and charged particles relative to neutral particles) on the long-term behavior of a non-uniform magnetic field in a one-dimensional…

Solar and Stellar Astrophysics · Physics 2015-05-18 Jaime Hoyos , Andreas Reisenegger , Juan Valdivia

In two previous papers (Price & Monaghan 2004a,b) (papers I,II) we have described an algorithm for solving the equations of Magnetohydrodynamics (MHD) using the Smoothed Particle Hydrodynamics (SPH) method. The algorithm uses dissipative…

Astrophysics · Physics 2009-11-13 D. J. Price , J. J. Monaghan

Solar prominences are partially ionised plasmas displaying flows and oscillations. These oscillations show time and spatial damping and, commonly, have been explained in terms of magnetohydrodynamic (MHD) waves. We study the spatial damping…

Solar and Stellar Astrophysics · Physics 2015-05-18 M. Carbonell , P. Forteza , R. Oliver , J. L. Ballester

A nonlinear time dependent fluid simulation model is developed that describes the evolution of magnetohydrodynamic waves in the presence of collisional and charge exchange interactions of a partially ionized plasma. The partially ionized…

Space Physics · Physics 2015-05-19 Dastgeer Shaikh , G. P. Zank
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