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Title: Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales

Abstract

The direction of cascades in a two-dimensional model that takes electron inertia and ion sound Larmor radius into account is studied here, resulting in analytical expressions for the absolute equilibrium states of the energy and helicities. These states suggest that typically both the energy and magnetic helicity at scales shorter than the electron skin depth have a direct cascade, while at large scales the helicity has an inverse cascade as established earlier for reduced magnetohydrodynamics (MHD). The calculations imply that the introduction of gyro-effects allows for the existence of negative temperature (conjugate to energy) states and the condensation of energy to the large scales. Comparisons between two- and three-dimensional extended MHD models (MHD with two-fluid effects) show qualitative agreement between the two.

Authors:
 [1]; ORCiD logo [1];  [2]
  1. Univ. of Texas, Austin, TX (United States). Dept. of Physics. Inst. for Fusion Studies
  2. Aix Marseille Univ., Marseille (France); Univ. Côte d'Azur, Nice (France). Côte d'Azur Observatory
Publication Date:
Research Org.:
Univ. of Texas, Austin, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
1523477
Alternate Identifier(s):
OSTI ID: 1461243
Grant/Contract Number:  
FG02-04ER54742
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 25; Journal Issue: 7; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Miloshevich, George, Morrison, Philip J., and Tassi, Emanuele. Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales. United States: N. p., 2018. Web. doi:10.1063/1.5023089.
Miloshevich, George, Morrison, Philip J., & Tassi, Emanuele. Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales. United States. doi:10.1063/1.5023089.
Miloshevich, George, Morrison, Philip J., and Tassi, Emanuele. Mon . "Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales". United States. doi:10.1063/1.5023089. https://www.osti.gov/servlets/purl/1523477.
@article{osti_1523477,
title = {Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales},
author = {Miloshevich, George and Morrison, Philip J. and Tassi, Emanuele},
abstractNote = {The direction of cascades in a two-dimensional model that takes electron inertia and ion sound Larmor radius into account is studied here, resulting in analytical expressions for the absolute equilibrium states of the energy and helicities. These states suggest that typically both the energy and magnetic helicity at scales shorter than the electron skin depth have a direct cascade, while at large scales the helicity has an inverse cascade as established earlier for reduced magnetohydrodynamics (MHD). The calculations imply that the introduction of gyro-effects allows for the existence of negative temperature (conjugate to energy) states and the condensation of energy to the large scales. Comparisons between two- and three-dimensional extended MHD models (MHD with two-fluid effects) show qualitative agreement between the two.},
doi = {10.1063/1.5023089},
journal = {Physics of Plasmas},
number = 7,
volume = 25,
place = {United States},
year = {2018},
month = {7}
}

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Works referenced in this record:

The Wisconsin Plasma Astrophysics Laboratory
journal, August 2015


Magnetic field amplification and saturation in two‐dimensional magnetohydrodynamic turbulence
journal, August 1990

  • Biskamp, D.; Welter, H.
  • Physics of Fluids B: Plasma Physics, Vol. 2, Issue 8
  • DOI: 10.1063/1.859450

Geophysical Turbulence and the Duality of the Energy Flow Across Scales
journal, December 2013


Statistical properties of ideal three-dimensional Hall magnetohydrodynamics: The spectral structure of the equilibrium ensemble
journal, January 2008

  • Servidio, Sergio; Matthaeus, William H.; Carbone, Vincenzo
  • Physics of Plasmas, Vol. 15, Issue 4
  • DOI: 10.1063/1.2907789

Generalized two‐fluid theory of nonlinear magnetic structures
journal, September 1994

  • Schep, T. J.; Pegoraro, F.; Kuvshinov, B. N.
  • Physics of Plasmas, Vol. 1, Issue 9
  • DOI: 10.1063/1.870523

Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems
journal, November 2016

  • Xiao, Jianyuan; Qin, Hong; Morrison, Philip J.
  • Physics of Plasmas, Vol. 23, Issue 11
  • DOI: 10.1063/1.4967276

The Inverse Cascade and Nonlinear Alpha‐Effect in Simulations of Isotropic Helical Hydromagnetic Turbulence
journal, April 2001

  • Brandenburg, Axel
  • The Astrophysical Journal, Vol. 550, Issue 2
  • DOI: 10.1086/319783

Action principles for relativistic extended magnetohydrodynamics: A unified theory of magnetofluid models
journal, February 2017

  • Kawazura, Yohei; Miloshevich, George; Morrison, Philip J.
  • Physics of Plasmas, Vol. 24, Issue 2
  • DOI: 10.1063/1.4975013

Dimensional transition in rotating turbulence
journal, August 2014


Phase Mixing and Island Saturation in Hamiltonian Reconnection
journal, May 2001


On the structure and statistical theory of turbulence of extended magnetohydrodynamics
journal, January 2017

  • Miloshevich, George; Lingam, Manasvi; Morrison, Philip J.
  • New Journal of Physics, Vol. 19, Issue 1
  • DOI: 10.1088/1367-2630/aa55eb

On the edge of an inverse cascade
journal, November 2014

  • Seshasayanan, Kannabiran; Benavides, Santiago Jose; Alexakis, Alexandros
  • Physical Review E, Vol. 90, Issue 5
  • DOI: 10.1103/PhysRevE.90.051003

Statistical mechanics of two-dimensional turbulence
journal, April 2006

  • Jung, Sunghwan; Morrison, P. J.; Swinney, Harry L.
  • Journal of Fluid Mechanics, Vol. 554, Issue -1
  • DOI: 10.1017/S0022112006009001

Inertial magnetohydrodynamics
journal, March 2015


Dipolar needles in the microcanonical ensemble: Evidence of spontaneous magnetization and ergodicity breaking
journal, October 2013

  • Miloshevich, George; Dauxois, Thierry; Khomeriki, Ramaz
  • EPL (Europhysics Letters), Vol. 104, Issue 1
  • DOI: 10.1209/0295-5075/104/17011

Statistical dynamics of two-dimensional flow
journal, January 1975


Possibility of an inverse cascade of magnetic helicity in magnetohydrodynamic turbulence
journal, April 1975


Invariants and Geometric Structures in Nonlinear Hamiltonian Magnetic Reconnection
journal, May 1998


Structure and computation of two-dimensional incompressible extended MHD
journal, January 2017

  • Grasso, D.; Tassi, E.; Abdelhamid, H. M.
  • Physics of Plasmas, Vol. 24, Issue 1
  • DOI: 10.1063/1.4974039

Tridimensional to bidimensional transition in magnetohydrodynamic turbulence with a guide field and kinetic helicity injection
journal, September 2016


Two-dimensional turbulence in inviscid fluids or guiding center plasmas
journal, January 1975

  • Seyler, C. E.; Salu, Yehuda; Montgomery, David
  • Physics of Fluids, Vol. 18, Issue 7
  • DOI: 10.1063/1.861243

Isotopological relaxation, coherent structures, and Gaussian turbulence in two‐dimensional (2‐D) magnetohydrodynamics (MHD)
journal, June 1994

  • Isichenko, M. B.; Gruzinov, A. V.
  • Physics of Plasmas, Vol. 1, Issue 6
  • DOI: 10.1063/1.870634

Numerical Simulation of Incompressible Flows Within Simple Boundaries. I. Galerkin (Spectral) Representations
journal, December 1971


Statistical mechanics of a two‐field model of drift wave turbulence
journal, June 1989

  • Gang, F. Y.; Scott, B. D.; Diamond, P. H.
  • Physics of Fluids B: Plasma Physics, Vol. 1, Issue 6
  • DOI: 10.1063/1.858958

Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics
journal, July 2016


Purely helical absolute equilibria and chirality of (magneto)fluid turbulence
journal, January 2014

  • Zhu, Jian-Zhou; Yang, Weihong; Zhu, Guang-Yu
  • Journal of Fluid Mechanics, Vol. 739
  • DOI: 10.1017/jfm.2013.561

Two-dimensional turbulence
journal, May 1980


Translationally symmetric extended MHD via Hamiltonian reduction: Energy-Casimir equilibria
journal, September 2017

  • Kaltsas, D. A.; Throumoulopoulos, G. N.; Morrison, P. J.
  • Physics of Plasmas, Vol. 24, Issue 9
  • DOI: 10.1063/1.4986013

Chirality, extended magnetohydrodynamics statistics and topological constraints for solar wind turbulence
journal, June 2017

  • Zhu, Jian-Zhou
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 470, Issue 1
  • DOI: 10.1093/mnrasl/slx075

Reduced fluid-kinetic equations for low-frequency dynamics, magnetic reconnection, and electron heating in low-beta plasmas
journal, October 2011

  • Zocco, Alessandro; Schekochihin, Alexander A.
  • Physics of Plasmas, Vol. 18, Issue 10
  • DOI: 10.1063/1.3628639

Nonlinear, three-dimensional magnetohydrodynamics of noncircular tokamaks
journal, January 1976


Statistical mechanics of two-dimensional and geophysical flows
journal, June 2012


On the Inverse Cascade of Magnetic Helicity
journal, March 2006

  • Alexakis, Alexandros; Mininni, Pablo D.; Pouquet, Annick
  • The Astrophysical Journal, Vol. 640, Issue 1
  • DOI: 10.1086/500082

Statistical mechanics and dynamics of solvable models with long-range interactions
journal, September 2009


GEMPIC: geometric electromagnetic particle-in-cell methods
journal, July 2017

  • Kraus, Michael; Kormann, Katharina; Morrison, Philip J.
  • Journal of Plasma Physics, Vol. 83, Issue 4
  • DOI: 10.1017/S002237781700040X

Transfer of energy to two-dimensional large scales in forced, rotating three-dimensional turbulence
journal, June 1999

  • Smith, Leslie M.; Waleffe, Fabian
  • Physics of Fluids, Vol. 11, Issue 6
  • DOI: 10.1063/1.870022

Magnetospheric Multiscale Overview and Science Objectives
journal, May 2015


Hamiltonian closures in fluid models for plasmas
journal, November 2017


Two-dimensional behavior of three-dimensional magnetohydrodynamic flow with a strong guiding field
journal, November 2011


Hamiltonian magnetic reconnection
journal, December 1999


Hamiltonian description of the ideal fluid
journal, April 1998


Statistical hydrodynamics
journal, March 1949


Inertial Ranges in Two-Dimensional Turbulence
journal, January 1967


Critical transitions in thin layer turbulence
journal, June 2017

  • Benavides, Santiago Jose; Alexakis, Alexandros
  • Journal of Fluid Mechanics, Vol. 822
  • DOI: 10.1017/jfm.2017.293

On some statistical properties of hydrodynamical and magneto-hydrodynamical fields
journal, January 1952

  • Lee, T. D.
  • Quarterly of Applied Mathematics, Vol. 10, Issue 1
  • DOI: 10.1090/qam/51081

On Electron-Scale Whistler Turbulence in the Solar wind
journal, August 2016


Broken ergodicity in magnetohydrodynamic turbulence
journal, August 2013


High-beta turbulence in two-dimensional magnetohydrodynamics
journal, October 1976


The Phenomenology of Small-Scale Turbulence
journal, January 1997


Electron Parallel Compressibility in the Nonlinear Development of Two-Dimensional Collisionless Magnetohydrodynamic Reconnection
journal, July 2006


A Universal law for Solar-Wind Turbulence at Electron Scales
journal, September 2010


Coherent Structures at Ion Scales in Fast Solar Wind: Cluster Observations
journal, October 2017

  • Perrone, D.; Alexandrova, O.; Roberts, O. W.
  • The Astrophysical Journal, Vol. 849, Issue 1
  • DOI: 10.3847/1538-4357/aa9022

Magnetic dynamo action in two-dimensional turbulent magneto-hydrodynamics
journal, April 1977


Most probable states in magnetohydrodynamics
journal, April 1979


Two-Dimensional Electron Magnetohydrodynamic Turbulence
journal, February 1996


Extended mhd Turbulence and its Applications to the Solar wind
journal, September 2016

  • Abdelhamid, Hamdi M.; Lingam, Manasvi; Mahajan, Swadesh M.
  • The Astrophysical Journal, Vol. 829, Issue 2
  • DOI: 10.3847/0004-637X/829/2/87

Electron magnetohydrodynamic turbulence
journal, March 1999

  • Biskamp, D.; Schwarz, E.; Zeiler, A.
  • Physics of Plasmas, Vol. 6, Issue 3
  • DOI: 10.1063/1.873312

Astrophysical Gyrokinetics: Kinetic and Fluid Turbulent Cascades in Magnetized Weakly Collisional Plasmas
journal, May 2009

  • Schekochihin, A. A.; Cowley, S. C.; Dorland, W.
  • The Astrophysical Journal Supplement Series, Vol. 182, Issue 1
  • DOI: 10.1088/0067-0049/182/1/310

Kinetic model of electrons in drift-Alfvén current-vortices
journal, September 2001


Equilibrium spectra and implications for a two‐field turbulence model
journal, May 1991

  • Koniges, A. E.; Crotinger, J. A.; Dannevik, W. P.
  • Physics of Fluids B: Plasma Physics, Vol. 3, Issue 5
  • DOI: 10.1063/1.859822

Observation of an Inverse Energy Cascade in Developed Acoustic Turbulence in Superfluid Helium
journal, August 2008


Discontinuous Transition from Direct to Inverse Cascade in Three-Dimensional Turbulence
journal, April 2017


Statistics of the inverse-cascade regime in two-dimensional magnetohydrodynamic turbulence
journal, July 2014


Broken ergodicity and coherent structure in homogeneous turbulence
journal, July 1989


Magnetohydrodynamic Turbulence
journal, August 2003


    Works referencing / citing this record:

    Modeling Imbalanced Collisionless Alfvén Wave Turbulence with Nonlinear Diffusion Equations
    journal, December 2019