Investigating Turbulence Effects on Magnetic Reconnection Rates Through Three-Dimensional Resistive Magnetohydrodynamical Simulations

Abstract

We investigate the impact of turbulence on magnetic reconnection through high-resolution 3D magnetohydrodynamical (MHD) simulations, spanning Lundquist numbers from $S=10^3$ to $10^6$. Building on Lazarian and Vishniac's (1999) theory, which asserts reconnection rate independence from Ohmic resistivity, we introduce small-scale perturbations until $t=0.1t_A$. Even after the perturbations cease, turbulence persists, resulting in sustained high reconnection rates of $V_{\text{rec}}/V_A\sim 0.03-0.08$. These rates exceed those generated by resistive tearing modes (plasmoid chain) in 2D and 3D MHD simulations by factors of 5 to 6. Our findings match observations in solar phenomena and previous 3D MHD global simulations of solar flares, accretion flows, and relativistic jets. The simulations show a steady-state fast reconnection rate compatible with the full development of turbulence in the system, demonstrating the robustness of the process in turbulent environments. We confirm reconnection rate independence from the Lundquist number, supporting Lazarian and Vishniac's theory of fast turbulent reconnection. Additionally, we find a mild dependence of $V_{\text{rec}}$ on the plasma-$\beta$ parameter, decreasing from 0.036 to 0.028 (in Alfvén units) as $\beta$ increases from 2.0 to 64.0 for simulations with a Lundquist number of $10^5$. Lastly, we explore the magnetic Prandtl number's (${\text{Pr}}_m=\nu /\eta$) influence on the reconnection rate and find it negligible during the turbulent regime across the range tested, from ${\text{Pr}}_m=1$ to $60$.

24 pages, 22 figures

References in corpus (36)

• Reconnection in a Weakly Stochastic Field
• Instability of current sheets and formation of plasmoid chains
• Fast Reconnection in High-Lundquist-Number Plasmas Due to Secondary Tearing Instabilities
• Instability of toroidal magnetic field in jets and plerions
• Numerical Tests of Fast Reconnection in Weakly Stochastic Magnetic Fields
• Scaling laws of resistive magnetohydrodynamic reconnection in the high-Lundquist-number, plasmoid-unstable regime
• Extending Big Power Law in the Sky with Turbulence Spectra from WHAM data
• Formation of Plasmoid Chains in Magnetic Reconnection
• Magnetic reconnection and stochastic plasmoid chains in high-Lundquist-number plasmas
• 3D Turbulent Reconnection: Theory, Tests and Astrophysical Implications
• Fast Magnetic Reconnection and Spontaneous Stochasticity
• Turbulent Magnetohydrodynamic Reconnection Mediated by the Plasmoid Instability
• Magnetohydrodynamic Simulations of Reconnection and Particle Acceleration: Three-Dimensional Effects
• Particle Acceleration in Turbulence and Weakly Stochastic Reconnection
• A Numerical Simulation of the Reconnection Layer in 2D Resistive MHD
• Turbulent Magnetic Reconnection in Two Dimensions
• Statistics of Reconnection-Driven Turbulence
• Spatial growth of current-driven instability in relativistic rotating jets and the search for magnetic reconnection
• Reconnection Studies Under Different Types of Turbulence Driving
• A Simple and Accurate Riemann Solver for Isothermal MHD
• Self-generated turbulence in magnetic reconnection
• Three-dimensional Spontaneous Magnetic Reconnection
• Particle acceleration by relativistic magnetic reconnection driven by kink instability turbulence in Poynting flux dominated jets
• Properties of the First-order Fermi acceleration in fast magnetic reconnection driven by turbulence in collisional MHD flows
• Turbulent Reconnection in Relativistic Plasmas And Effects of Compressibility
• Extended theory of the Taylor problem in the plasmoid-unstable regime
• First order particle acceleration in magnetically-driven flows
• MHD instabilities in accretion disks and their implications in driving fast magnetic reconnection
• Kelvin-Helmholtz versus Tearing Instability: What Drives Turbulence in Stochastic Reconnection?
• Compressible Relativistic Magnetohydrodynamic Turbulence in Magnetically-Dominated Plasmas And Implications for A Strong-Coupling Regime
• Fast magnetic reconnection structures in Poynting-flux dominated jets
• Three-dimensional Turbulent Reconnection within Solar Flare Current Sheet
• Evolution, structure and topology of self-generated turbulent reconnection layers
• Reconnection in weakly stochastic B-fields in 2D
• Particle acceleration by magnetic reconnection in relativistic jets: the transition from small to large scales
• Resistively controlled primordial magnetic turbulence decay

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