MIR: a general-relativistic resistive-magneto-hydrodynamic code to study the effect of resistivity in Neutron Star dynamics
arXiv:2503.01408 · doi:10.1103/w6zv-slpj
Abstract
Electrical resistivity plays a fundamental role in many astrophysical systems, influencing the evolution of the magnetic field and energy dissipation processes. During the coalescence of two neutron stars, resistive effects can significantly affect the dynamics and gravitational and electromagnetic signatures associated with these events, such as gamma-ray bursts and kilonova emission. Here, we present our new code, named MIR. Developed within the EinsteinToolkit framework, MIR solves the general relativistic magnetohydrodynamic equations in 3D Cartesian coordinates and on a dynamical spacetime using the 3+1 Eulerian formalism, in both the ideal and resistive regimes, filling a crucial gap in the toolkit's capabilities.
arXiv comment20 pages, 17 figures
References in corpus (55)
- HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics
- The Einstein Toolkit: A Community Computational Infrastructure for Relativistic Astrophysics
- Binary neutron-star mergers: a review of Einstein's richest laboratory
- The missing link: Merging neutron stars naturally produce jet-like structures and can power short Gamma-Ray Bursts
- ECHO: an Eulerian Conservative High Order scheme for general relativistic magnetohydrodynamics and magnetodynamics
- An efficient shock-capturing central-type scheme for multidimensional relativistic flows. II. Magnetohydrodynamics
- Global simulations of strongly magnetized remnant massive neutron stars formed in binary neutron star mergers
- Very High Order $\PNM$ Schemes on Unstructured Meshes for the Resistive Relativistic MHD Equations
- Magnetized Neutron Star Mergers and Gravitational Wave Signals
- Equation of State in Relativistic Magnetohydrodynamics: variable versus constant adiabatic index
- Beyond ideal MHD: towards a more realistic modeling of relativistic astrophysical plasmas
- Relativistic Magnetohydrodynamics In Dynamical Spacetimes: Numerical Methods And Tests
- General relativistic simulations of magnetized binary neutron star mergers
- General relativistic magnetohydrodynamic simulations of binary neutron star mergers forming a long-lived neutron star
- General-relativistic resistive magnetohydrodynamics in three dimensions: Formulation and tests
- WhiskyMHD: a new numerical code for general relativistic magnetohydrodynamics
- GRHydro: A new open source general-relativistic magnetohydrodynamics code for the Einstein Toolkit
- IllinoisGRMHD: An Open-Source, User-Friendly GRMHD Code for Dynamical Spacetimes
- Implementation of a simplified approach to radiative transfer in general relativity
- First 100 ms of a long-lived magnetized neutron star formed in a binary neutron star merger
- Axisymmetric equilibrium models for magnetized neutron stars in General Relativity under the Conformally Flat Condition
- Multi-dimensional Numerical Scheme for Resistive Relativistic MHD
- A fully covariant mean-field dynamo closure for numerical 3+1 resistive GRMHD
- Nonlinear Pulsations in Differentially Rotating Neutron Stars: Mass-Shedding-Induced Damping and Splitting of the Fundamental Mode
- Non-linear axisymmetric pulsations of rotating relativistic stars in the conformal flatness approximation
- Nonlinear hydrodynamical evolution of rotating relativistic stars: Numerical methods and code tests
- Magnetohydrodynamics in full general relativity: Formulation and tests
- General-relativistic resistive-magnetohydrodynamic simulations of binary neutron stars
- General relativistic simulations of black hole-neutron star mergers: Effects of magnetic fields
- A Second-Order Unsplit Godunov Scheme for Cell-Centered MHD: the CTU-GLM scheme
- GRMHD in axisymmetric dynamical spacetimes: the X-ECHO code
- Tearing instability in relativistic magnetically dominated plasmas
- Collimated outflows from long-lived binary neutron star merger remnants
- General relativistic resistive magnetohydrodynamics with robust primitive variable recovery for accretion disk simulations
- General Relativistic Magnetohydrodynamic Simulations of Binary Neutron Star Mergers with the APR4 Equation of State
- Numerical simulations of high Lundquist number relativistic magnetic reconnection
- Dynamical Bar Instability in Rotating Stars: Effect of General Relativity
- Long-term evolution of neutron-star merger remnants in general relativistic resistive-magnetohydrodynamics with a mean-field dynamo term
- Robust Recovery of Primitive Variables in Relativistic Ideal Magnetohydrodynamics
- A High-Order Relativistic Two-Fluid Electrodynamic Scheme with Consistent Reconstruction of Electromagnetic Fields and a Multidimensional Riemann Solver for Electromagnetism
- A new scheme for matching general relativistic ideal magnetohydrodynamics to its force-free limit
- Resistive relativistic MHD simulations of astrophysical jets
- Covariant and 3+1 Equations for Dynamo-Chiral General Relativistic Magnetohydrodynamics
- Dynamical bar-mode instability in rotating and magnetized relativistic stars
- Gmunu: Paralleled, grid-adaptive, general-relativistic magnetohydrodynamics in curvilinear geometries in dynamical spacetimes
- A Constrained Transport Method for the Solution of the Resistive Relativistic MHD Equations
- General relativistic magnetohydrodynamic dynamo in thick accretion disks: fully nonlinear simulations
- Spritz: a new fully general-relativistic magnetohydrodynamic code
- Gmunu: Toward multigrid based Einstein field equations solver for general-relativistic hydrodynamics simulations
- An extension of Gmunu: General-relativistic resistive magnetohydrodynamics based on staggered-meshed constrained transport with elliptic cleaning
- Long-term GRMHD simulation of magnetic field in isolated neutron stars
- General Relativistic Mean-field Dynamo Model for Proto-neutron Stars
- Neutron Star instabilities in full General Relativity using a ideal fluid
- Relativistic reconnection with effective resistivity: I. Dynamics and reconnection rate
- General-relativistic resistive-magnetohydrodynamics simulations of self-consistent magnetized rotating neutron stars