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:
-
- Univ. of Texas, Austin, TX (United States). Dept. of Physics. Inst. for Fusion Studies
- 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. https://doi.org/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. https://doi.org/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 = {Mon Jul 23 00:00:00 EDT 2018},
month = {Mon Jul 23 00:00:00 EDT 2018}
}
Web of Science
Works referenced in this record:
The Wisconsin Plasma Astrophysics Laboratory
journal, August 2015
- Forest, C. B.; Flanagan, K.; Brookhart, M.
- Journal of Plasma Physics, Vol. 81, Issue 5
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
Geophysical Turbulence and the Duality of the Energy Flow Across Scales
journal, December 2013
- Pouquet, A.; Marino, R.
- Physical Review Letters, Vol. 111, Issue 23
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
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
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
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
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
Dimensional transition in rotating turbulence
journal, August 2014
- Deusebio, E.; Boffetta, G.; Lindborg, E.
- Physical Review E, Vol. 90, Issue 2
Phase Mixing and Island Saturation in Hamiltonian Reconnection
journal, May 2001
- Grasso, D.; Califano, F.; Pegoraro, F.
- Physical Review Letters, Vol. 86, Issue 22
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
On the edge of an inverse cascade
journal, November 2014
- Seshasayanan, Kannabiran; Benavides, Santiago Jose; Alexakis, Alexandros
- Physical Review E, Vol. 90, Issue 5
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
Inertial magnetohydrodynamics
journal, March 2015
- Lingam, M.; Morrison, P. J.; Tassi, E.
- Physics Letters A, Vol. 379, Issue 6
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
Statistical dynamics of two-dimensional flow
journal, January 1975
- Kraichnan, Robert H.
- Journal of Fluid Mechanics, Vol. 67, Issue 1
Possibility of an inverse cascade of magnetic helicity in magnetohydrodynamic turbulence
journal, April 1975
- Frisch, U.; Pouquet, A.; LÉOrat, J.
- Journal of Fluid Mechanics, Vol. 68, Issue 4
Invariants and Geometric Structures in Nonlinear Hamiltonian Magnetic Reconnection
journal, May 1998
- Cafaro, E.; Grasso, D.; Pegoraro, F.
- Physical Review Letters, Vol. 80, Issue 20
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
Tridimensional to bidimensional transition in magnetohydrodynamic turbulence with a guide field and kinetic helicity injection
journal, September 2016
- Sujovolsky, N. E.; Mininni, P. D.
- Physical Review Fluids, Vol. 1, Issue 5
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
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
Numerical Simulation of Incompressible Flows Within Simple Boundaries. I. Galerkin (Spectral) Representations
journal, December 1971
- Orszag, Steven A.
- Studies in Applied Mathematics, Vol. 50, Issue 4
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
Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics
journal, July 2016
- Lingam, Manasvi; Miloshevich, George; Morrison, Philip J.
- Physics Letters A, Vol. 380, Issue 31-32
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
Two-dimensional turbulence
journal, May 1980
- Kraichnan, R. H.; Montgomery, D.
- Reports on Progress in Physics, Vol. 43, Issue 5
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
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
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
Nonlinear, three-dimensional magnetohydrodynamics of noncircular tokamaks
journal, January 1976
- Strauss, H. R.
- Physics of Fluids, Vol. 19, Issue 1
Statistical mechanics of two-dimensional and geophysical flows
journal, June 2012
- Bouchet, Freddy; Venaille, Antoine
- Physics Reports, Vol. 515, Issue 5
On the Inverse Cascade of Magnetic Helicity
journal, March 2006
- Alexakis, Alexandros; Mininni, Pablo D.; Pouquet, Annick
- The Astrophysical Journal, Vol. 640, Issue 1
Statistical mechanics and dynamics of solvable models with long-range interactions
journal, September 2009
- Campa, Alessandro; Dauxois, Thierry; Ruffo, Stefano
- Physics Reports, Vol. 480, Issue 3-6
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
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
Magnetospheric Multiscale Overview and Science Objectives
journal, May 2015
- Burch, J. L.; Moore, T. E.; Torbert, R. B.
- Space Science Reviews, Vol. 199, Issue 1-4
Hamiltonian closures in fluid models for plasmas
journal, November 2017
- Tassi, Emanuele
- The European Physical Journal D, Vol. 71, Issue 11
Two-dimensional behavior of three-dimensional magnetohydrodynamic flow with a strong guiding field
journal, November 2011
- Alexakis, Alexandros
- Physical Review E, Vol. 84, Issue 5
Hamiltonian magnetic reconnection
journal, December 1999
- Grasso, D.; Pegoraro, F.; Porcelli, F.
- Plasma Physics and Controlled Fusion, Vol. 41, Issue 12
Hamiltonian description of the ideal fluid
journal, April 1998
- Morrison, P. J.
- Reviews of Modern Physics, Vol. 70, Issue 2
Inertial Ranges in Two-Dimensional Turbulence
journal, January 1967
- Kraichnan, Robert H.
- Physics of Fluids, Vol. 10, Issue 7
Critical transitions in thin layer turbulence
journal, June 2017
- Benavides, Santiago Jose; Alexakis, Alexandros
- Journal of Fluid Mechanics, Vol. 822
On some statistical properties of hydrodynamical and magneto-hydrodynamical fields
journal, January 1952
- Lee, T. D.
- Quarterly of Applied Mathematics, Vol. 10, Issue 1
On Electron-Scale Whistler Turbulence in the Solar wind
journal, August 2016
- Narita, Y.; Nakamura, R.; Baumjohann, W.
- The Astrophysical Journal, Vol. 827, Issue 1
Broken ergodicity in magnetohydrodynamic turbulence
journal, August 2013
- Shebalin, John V.
- Geophysical & Astrophysical Fluid Dynamics, Vol. 107, Issue 4
High-beta turbulence in two-dimensional magnetohydrodynamics
journal, October 1976
- Fyfe, David; Montgomery, David
- Journal of Plasma Physics, Vol. 16, Issue 2
The Phenomenology of Small-Scale Turbulence
journal, January 1997
- Sreenivasan, K. R.; Antonia, R. A.
- Annual Review of Fluid Mechanics, Vol. 29, Issue 1
Hamiltonian fluid reductions of electromagnetic drift-kinetic equations for an arbitrary number of moments
journal, November 2015
- Tassi, E.
- Annals of Physics, Vol. 362
Electron Parallel Compressibility in the Nonlinear Development of Two-Dimensional Collisionless Magnetohydrodynamic Reconnection
journal, July 2006
- Del Sarto, Daniele; Califano, F.; Pegoraro, F.
- Modern Physics Letters B, Vol. 20, Issue 16
A Universal law for Solar-Wind Turbulence at Electron Scales
journal, September 2010
- Meyrand, R.; Galtier, S.
- The Astrophysical Journal, Vol. 721, Issue 2
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
Magnetic dynamo action in two-dimensional turbulent magneto-hydrodynamics
journal, April 1977
- Fyfe, David; Joyce, Glenn; Montgomery, David
- Journal of Plasma Physics, Vol. 17, Issue 2
Most probable states in magnetohydrodynamics
journal, April 1979
- Montgomery, David; Turner, Leaf; Vahala, George
- Journal of Plasma Physics, Vol. 21, Issue 2
Two-Dimensional Electron Magnetohydrodynamic Turbulence
journal, February 1996
- Biskamp, D.; Schwarz, E.; Drake, J. F.
- Physical Review Letters, Vol. 76, Issue 8
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
Electron magnetohydrodynamic turbulence
journal, March 1999
- Biskamp, D.; Schwarz, E.; Zeiler, A.
- Physics of Plasmas, Vol. 6, Issue 3
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
Kinetic model of electrons in drift-Alfvén current-vortices
journal, September 2001
- de Blank, Hugo J.
- Physics of Plasmas, Vol. 8, Issue 9
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
Observation of an Inverse Energy Cascade in Developed Acoustic Turbulence in Superfluid Helium
journal, August 2008
- Ganshin, A. N.; Efimov, V. B.; Kolmakov, G. V.
- Physical Review Letters, Vol. 101, Issue 6
Discontinuous Transition from Direct to Inverse Cascade in Three-Dimensional Turbulence
journal, April 2017
- Sahoo, Ganapati; Alexakis, Alexandros; Biferale, Luca
- Physical Review Letters, Vol. 118, Issue 16
Statistics of the inverse-cascade regime in two-dimensional magnetohydrodynamic turbulence
journal, July 2014
- Banerjee, Debarghya; Pandit, Rahul
- Physical Review E, Vol. 90, Issue 1
Broken ergodicity and coherent structure in homogeneous turbulence
journal, July 1989
- Shebalin, John V.
- Physica D: Nonlinear Phenomena, Vol. 37, Issue 1-3
Magnetohydrodynamic Turbulence
journal, August 2003
- Biskamp, Dieter
- Plasma Physics and Controlled Fusion, Vol. 45, Issue 9
Phase Mixing and Island Saturation in Hamiltonian Reconnection
text, January 2001
- Califano, F.; Grasso, D.; Pegoraro, F.
- The American Physical Society
Nonlinear magnetohydrodynamics
journal, January 1995
- Rycroft, M. J.
- Journal of Atmospheric and Terrestrial Physics, Vol. 57, Issue 1
Two-Dimensional Turbulence
journal, January 2012
- Boffetta, Guido; Ecke, Robert E.
- Annual Review of Fluid Mechanics, Vol. 44, Issue 1
Astrophysical gyrokinetics: kinetic and fluid turbulent cascades in magnetized weakly collisional plasmas
text, January 2007
- Schekochihin, A. A.; Cowley, S. C.; Dorland, W.
- arXiv
Statistical mechanics and dynamics of solvable models with long-range interactions
text, January 2009
- Campa, A.; Dauxois, T.; Ruffo, S.
- arXiv
A Universal Law for Solar-Wind Turbulence at Electron Scales
text, January 2010
- Meyrand, R.; Galtier, S.
- arXiv
Gyrokinetic statistical absolute equilibrium and turbulence
text, January 2010
- Zhu, Jian-Zhou; Hammett, Gregory W.
- arXiv
Dimensional transition in rotating turbulence
text, January 2014
- Deusebio, Enrico; Boffetta, Guido; Lindborg, Erik
- arXiv
Statistics of the inverse-cascade regime in two-dimensional magnetohydrodynamic turbulence
text, January 2014
- Banerjee, Debarghya; Pandit, Rahul
- arXiv
On the edge of an inverse cascade
text, January 2014
- Seshasayanan, Kannabiran; Benavides, Santiago Jose; Alexakis, Alexandros
- arXiv
The Wisconsin Plasma Astrophysics Laboratory
text, January 2015
- Forest, C. B.; Flanagan, K.; Brookhart, M.
- arXiv
Tridimensional to bidimensional transition in magnetohydrodynamic turbulence with a guide field and kinetic helicity injection
text, January 2016
- Sujovolsky, N. E.; Mininni, P. D.
- arXiv
Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems
text, January 2016
- Xiao, Jianyuan; Qin, Hong; Morrison, Philip J.
- arXiv
Extended MHD turbulence and its applications to the solar wind
text, January 2016
- Abdelhamid, Hamdi M.; Lingam, Manasvi; Mahajan, Swadesh M.
- arXiv
GEMPIC: Geometric ElectroMagnetic Particle-In-Cell Methods
text, January 2016
- Kraus, Michael; Kormann, Katharina; Morrison, Philip J.
- arXiv
Critical Transitions in Thin Layer Turbulence
text, January 2017
- Benavides, Santiago Jose; Alexakis, Alexandros
- arXiv
Discontinuous transition from direct to inverse cascade in three-dimensional turbulence
text, January 2017
- Sahoo, Ganapati; Alexakis, Alexandros; Biferale, Luca
- arXiv
Coherent structures at ion scales in fast solar wind: {\it Cluster} observations
text, January 2017
- Perrone, D.; Alexandrova, O.; Roberts, O. W.
- arXiv
Helical Magnetohydrodynamic Turbulence and the Nonlinear Dynamo Problem
journal, August 1975
- Lèorat, J.; Frisch, U.; Pouquet, A.
- Annals of the New York Academy of Sciences, Vol. 257, Issue 1 Role of Magne
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