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Critical magnetic Reynolds number of the turbulent dynamo in collisionless plasmas

Journal Article · · Monthly Notices of the Royal Astronomical Society
 [1];  [1];  [2];  [3]
  1. Australian National Univ., Canberra, ACT (Australia)
  2. Australian National Univ., Canberra, ACT (Australia); Australian Research Council Centre of Excellence in All Sky Astrophysics (ASTRO3D), Canberra, ACT (Australia)
  3. Princeton Univ., NJ (United States); Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
The intracluster medium of galaxy clusters is an extremely hot and diffuse, nearly collisionless plasma, which hosts dynamically important magnetic fields of ~μG strength. Seed magnetic fields of much weaker strength of astrophysical or primordial origin can be present in the intracluster medium. In collisional plasmas, which can be approximated in the magnetohydrodynamical (MHD) limit, the turbulent dynamo mechanism can amplify weak seed fields to strong dynamical levels efficiently by converting turbulent kinetic energy into magnetic energy. However, the viability of this mechanism in weakly collisional or completely collisionless plasma is much less understood. In this study, we explore the properties of the collisionless turbulent dynamo using three-dimensional hybrid-kinetic particle-in-cell simulations. We explore the properties of the collisionless turbulent dynamo in the kinematic regime for different values of the magnetic Reynolds number, Rm, initial magnetic-to-kinetic energy ratio, (Emag/Ekin)i, and initial Larmor ratio, (rLarmor/Lbox)i, i.e. the ratio of the Larmor radius to the size of the turbulent system. We find that in the ‘un-magnetized’ regime, (rLarmor/Lbox)i > 1, the critical magnetic Reynolds number for the dynamo action Rmcrit ≈ 107 ± 3. In the ‘magnetized’ regime, (rLarmor/Lbox)i ≲ 1, we find a marginally higher Rmcrit = 124 ± 8. We find that the growth rate of the magnetic energy does not depend on the strength of the seed magnetic field when the initial magnetization is fixed. We also study the distribution and evolution of the pressure anisotropy in the collisionless plasma and compare our results with the MHD turbulent dynamo.
Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE
OSTI ID:
2341803
Journal Information:
Monthly Notices of the Royal Astronomical Society, Journal Name: Monthly Notices of the Royal Astronomical Society Journal Issue: 1 Vol. 528; ISSN 0035-8711
Publisher:
Oxford University PressCopyright Statement
Country of Publication:
United States
Language:
English

References (50)

Hybrid-Kinetic Approach: Massless Electrons book January 2023
Plasma Physics of the Intracluster Medium book August 2022
Constraining Gas Motions in the Intra-Cluster Medium journal February 2019
Pegasus: A new hybrid-kinetic particle-in-cell code for astrophysical plasma dynamics journal February 2014
Turbulence: The Legacy of A. N. Kolmogorov book January 1996
Fluctuation dynamo in a weakly collisional plasma journal September 2020
The quiescent intracluster medium in the core of the Perseus cluster journal July 2016
The sonic scale of interstellar turbulence journal January 2021
Comparing the statistics of interstellar turbulence in simulations and observations: Solenoidal versus compressive turbulence forcing journal March 2010
Turbulence, magnetic fields, and plasma physics in clusters of galaxies journal May 2006
On the Boris solver in particle-in-cell simulation journal November 2018
Turbulent dynamo in a collisionless plasma journal March 2016
FLASH: An Adaptive Mesh Hydrodynamics Code for Modeling Astrophysical Thermonuclear Flashes journal November 2000
Simulations of the Small‐Scale Turbulent Dynamo journal September 2004
The Onset of a Small-Scale Turbulent Dynamo at Low Magnetic Prandtl Numbers journal May 2005
The Heating of test Particles in Numerical Simulations of AlfvÉNic Turbulence journal November 2009
A new Jeans Resolution Criterion for (M)Hd Simulations of Self-Gravitating gas: Application to Magnetic Field Amplification by Gravity-Driven Turbulence journal March 2011
Magnetic Field Amplification and Evolution in Turbulent Collisionless Magnetohydrodynamics: an Application to the Intracluster Medium journal January 2014
Fluctuation dynamo and turbulent induction at low magnetic Prandtl numbers journal August 2007
The Turbulent Dynamo in Highly Compressible Supersonic Plasmas journal December 2014
Magnetic fields in the formation of the first stars – I. Theory versus simulation journal July 2020
Seed magnetic fields in turbulent small-scale dynamos journal September 2020
Magnetic fields in the Milky Way from pulsar observations: effect of the correlation between thermal electrons and magnetic fields journal January 2021
Measuring sloshing, merging, and feedback velocities in the Virgo cluster journal September 2021
Turbulent dynamo in the two-phase interstellar medium journal May 2022
The velocity structure of the intracluster medium of the Centaurus cluster journal March 2022
Measuring the ICM velocity structure in the Ophiuchus cluster journal April 2023
Turbulence and cooling in galaxy cluster cores journal July 2014
Models of magnetic field evolution and effective viscosity in weakly collisional extragalactic plasmas journal April 2014
Pressure-anisotropy-driven microturbulence and magnetic-field evolution in shearing, collisionless plasma journal April 2016
Varying the forcing scale in low Prandtl number dynamos journal June 2018
Turbulence in the intracluster medium: simulations, observables, and thermodynamics journal February 2019
Dynamical evolution of magnetic fields in the intracluster medium journal March 2019
The Boltzmann equation an d the one-fluid hydromagnetic equations in the absence of particle collisions
  • Chew, G. F.; Goldberger, M. L.; Low, F. E.
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 236, Issue 1204, p. 112-118 https://doi.org/10.1098/rspa.1956.0116
journal July 1956
Magnetic field amplification by small-scale dynamo action: Dependence on turbulence models and Reynolds and Prandtl numbers journal February 2012
Saturation mechanism of the fluctuation dynamo at Pr M   ≥   1 journal April 2020
Saturation mechanism of the fluctuation dynamo in supersonic turbulent plasmas journal October 2021
Mach Number Dependence of Turbulent Magnetic Field Amplification: Solenoidal versus Compressive Flows journal September 2011
Firehose and Mirror Instabilities in a Collisionless Shearing Plasma journal May 2014
Efficient Highly Subsonic Turbulent Dynamo and Growth of Primordial Magnetic Fields journal March 2021
Magnetic-Field Generation in Kolmogorov Turbulence journal April 2004
Numerical Demonstration of Fluctuation Dynamo at Low Magnetic Prandtl Numbers journal May 2007
Mach number dependence of the onset of dynamo action: The onset of dynamo action journal August 2004
Evolving turbulence and magnetic fields in galaxy clusters journal March 2006
Constraints on turbulent velocity broadening for a sample of clusters, groups and elliptical galaxies using XMM-Newton: Turbulence in galaxy clusters journal October 2010
A non-linear theory of the parallel firehose and gyrothermal instabilities in a weakly collisional plasma: Theory of firehose and gyrothermal instabilities journal March 2011
Plasma Physics for Astrophysics journal January 2005
Über den Ursprung der Magnetfelder auf Sternen und im interstellaren Raum journal February 1950
Magnetogenesis in a Collisionless Plasma: From Weibel Instability to Turbulent Dynamo journal December 2023
Fluctuation Dynamo in a Collisionless, Weakly Magnetized Plasma journal August 2018

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