Resistive relativistic magnetohydrodynamics without Amperes Law
arXiv:2501.04638 · doi:10.1103/stvc-tzfh
Abstract
Resistive magnetohydrodynamics is thought to play a key role in transient astrophysical phenomena such as black hole flares and neutron star magnetospheres. When performing numerical simulations of resistive magnetohydrodynamics, one is faced with the issue that Amperes law becomes stiff in the high conductivity limit which poses challenges to the numerical evolution. We show that using a description of resistive magnetohydrodynamics based on higher form symmetry, one can perform simulations with a generalized dual Faraday tensor without having to use Amperes Law, thereby avoiding the stiffness problem. We also explain the relation of this dual model to a traditional description of resistive magnetohydrodynamics and how causality is guaranteed by introducing second order corrections.
References in corpus (41)
- Generalized Global Symmetries
- General Relativistic Magnetohydrodynamic Simulations of Magnetically Choked Accretion Flows around Black Holes
- Relativistic Reconnection: an Efficient Source of Non-Thermal Particles
- The Event Horizon General Relativistic Magnetohydrodynamic Code Comparison Project
- ECHO: an Eulerian Conservative High Order scheme for general relativistic magnetohydrodynamics and magnetodynamics
- The Black Hole Accretion Code
- Black hole flares: ejection of accreted magnetic flux through 3D plasmoid-mediated reconnection
- First-order relativistic hydrodynamics is stable
- Magnetic Reconnection and Hot Spot Formation in Black Hole Accretion Disks
- Beyond ideal MHD: towards a more realistic modeling of relativistic astrophysical plasmas
- General-relativistic resistive magnetohydrodynamics in three dimensions: Formulation and tests
- Generalized global symmetries and dissipative magnetohydrodynamics
- The interplay of magnetically-dominated turbulence and magnetic reconnection in producing nonthermal particles
- Relativistic magnetohydrodynamics
- Multi-dimensional Numerical Scheme for Resistive Relativistic MHD
- A fully covariant mean-field dynamo closure for numerical 3+1 resistive GRMHD
- A magnetar engine for short GRBs and kilonovae
- Constrained transport and adaptive mesh refinement in the Black Hole Accretion Code
- Radiative Properties of Reconnection-Powered Minijets in Blazars
- Fast reconnection in relativistic plasmas: the magnetohydrodynamics tearing instability revisited
- General relativistic resistive magnetohydrodynamics with robust primitive variable recovery for accretion disk simulations
- An Extended Magnetohydrodynamics Model for Relativistic Weakly Collisional Plasmas
- Magnetohydrodynamics as superfluidity
- A numerical exploration of first-order relativistic hydrodynamics
- One-form superfluids and magnetohydrodynamics
- Radiation Transport Two-Temperature GRMHD Simulations of Warped Accretion Disks
- A Constrained Transport Method for the Solution of the Resistive Relativistic MHD Equations
- Fast Magnetic Reconnection with Turbulence in High Lundquist Number Limit
- A stable and causal model of magnetohydrodynamics
- Three-dimensional dynamics of strongly twisted magnetar magnetospheres: Kinking flux tubes and global eruptions
- Dissipative String Fluids
- Revisiting Hyperbolicity of Relativistic Fluids
- Approximate higher-form symmetries, topological defects, and dynamical phase transitions
- Explosive X-point collapse in relativistic magnetically-dominated plasma
- Effective resistivity in relativistic collisionless plasmoid-mediated reconnection
- A resistive extension for ideal MHD
- Causality Bounds on Dissipative General-Relativistic Magnetohydrodynamics
- Hyperbolicity of Divergence Cleaning and Vector Potential Formulations of GRMHD
- Relativistic reconnection with effective resistivity: I. Dynamics and reconnection rate
- Linear Wave Propagation for Resistive Relativistic Magnetohydrodynamics
- Comparison of magnetic diffusion and reconnection in ideal and resistive relativistic magnetohydrodynamics, ideal magnetodynamics, and resistive force-free electrodynamics