On the structure and statistical theory of turbulence of extended magnetohydrodynamics
Abstract
Recent progress regarding the noncanonical Hamiltonian formulation of extended magnetohydrodynamics (XMHD), a model with Hall drift and electron inertia, is summarized. The advantages of the Hamiltonian approach are invoked to study some general properties ofXMHDturbulence, and to compare them against their idealMHDcounterparts. For instance, the helicity flux transfer rates for XMHDare computed, and Liouville’s theorem for this model is also verified. The latter is used, in conjunction with the absolute equilibrium states, to arrive at the spectra for the invariants, and to determine the direction of the cascades, e.g., generalizations of the well-known idealMHDinverse cascade of magnetic helicity. After a similar analysis is conducted forXMHDby inspecting second order structure functions and absolute equilibrium states, a couple of interesting results emerge. When cross helicity is taken to be ignorable, the inverse cascade of injected magnetic helicity also occurs in the HallMHDrange—this is shown to be consistent with previous results in the literature. In contrast, in the inertialMHDrange, viz at scales smaller than the electron skin depth, all spectral quantities are expected to undergo direct cascading. The consequences and relevance of our results in space and astrophysical plasmas are also briefly discussed.
- Authors:
-
- Univ. of Texas, Austin, TX (United States). Inst. for Fusion Studies, Dept. of Physics
- Harvard Univ., Cambridge, MA (United States). Harvard John A. Paulson School of Engineering and Applied Sciences; Harvard-Smithsonian Center for Astrophysics, Cambridge, MA (United States). Inst. for Theory and Computation; Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences
- Publication Date:
- Research Org.:
- Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States); Princeton Univ., NJ (United States); Univ. of Tennessee, Knoxville, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES); National Science Foundation (NSF); USDOE Office of Fossil Energy (FE); USDOE National Energy Technology Laboratory (NETL)
- OSTI Identifier:
- 1355659
- Alternate Identifier(s):
- OSTI ID: 1357807
- Grant/Contract Number:
- AC02-09CH11466; FG05-80ET53088; AGS-1338944
- Resource Type:
- Accepted Manuscript
- Journal Name:
- New Journal of Physics
- Additional Journal Information:
- Journal Volume: 19; Journal Issue: 1; Journal ID: ISSN 1367-2630
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; extended magnetohydrodynamic turbulence; absolute equilibrium; hall and electron inertia; Hamiltonian; solar-wind turbulence; collisionless magnetic reconnection; gamma-ray bursts; Hall-magnetohydrodynamics; inverse cascade; action principle; MHD turbulence; dynamo action; formulation; mechanics; extended magnetohydrodynamic turbulence, absolute equilibrium, hall and electron inertia, hamiltonian
Citation Formats
Miloshevich, George, Lingam, Manasvi, and Morrison, Philip J. On the structure and statistical theory of turbulence of extended magnetohydrodynamics. United States: N. p., 2017.
Web. doi:10.1088/1367-2630/aa55eb.
Miloshevich, George, Lingam, Manasvi, & Morrison, Philip J. On the structure and statistical theory of turbulence of extended magnetohydrodynamics. United States. https://doi.org/10.1088/1367-2630/aa55eb
Miloshevich, George, Lingam, Manasvi, and Morrison, Philip J. Mon .
"On the structure and statistical theory of turbulence of extended magnetohydrodynamics". United States. https://doi.org/10.1088/1367-2630/aa55eb. https://www.osti.gov/servlets/purl/1355659.
@article{osti_1355659,
title = {On the structure and statistical theory of turbulence of extended magnetohydrodynamics},
author = {Miloshevich, George and Lingam, Manasvi and Morrison, Philip J.},
abstractNote = {Recent progress regarding the noncanonical Hamiltonian formulation of extended magnetohydrodynamics (XMHD), a model with Hall drift and electron inertia, is summarized. The advantages of the Hamiltonian approach are invoked to study some general properties ofXMHDturbulence, and to compare them against their idealMHDcounterparts. For instance, the helicity flux transfer rates for XMHDare computed, and Liouville’s theorem for this model is also verified. The latter is used, in conjunction with the absolute equilibrium states, to arrive at the spectra for the invariants, and to determine the direction of the cascades, e.g., generalizations of the well-known idealMHDinverse cascade of magnetic helicity. After a similar analysis is conducted forXMHDby inspecting second order structure functions and absolute equilibrium states, a couple of interesting results emerge. When cross helicity is taken to be ignorable, the inverse cascade of injected magnetic helicity also occurs in the HallMHDrange—this is shown to be consistent with previous results in the literature. In contrast, in the inertialMHDrange, viz at scales smaller than the electron skin depth, all spectral quantities are expected to undergo direct cascading. The consequences and relevance of our results in space and astrophysical plasmas are also briefly discussed.},
doi = {10.1088/1367-2630/aa55eb},
journal = {New Journal of Physics},
number = 1,
volume = 19,
place = {United States},
year = {Mon Jan 16 00:00:00 EST 2017},
month = {Mon Jan 16 00:00:00 EST 2017}
}
Web of Science
Works referenced in this record:
Über die Ausbreitung von Wellen in einem Plasma
journal, January 1959
- Lüst, Reimar
- Fortschritte der Physik, Vol. 7, Issue 9
Action principles for extended magnetohydrodynamic models
journal, September 2014
- Keramidas Charidakos, I.; Lingam, M.; Morrison, P. J.
- Physics of Plasmas, Vol. 21, Issue 9
Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics
journal, September 1980
- Morrison, Philip J.; Greene, John M.
- Physical Review Letters, Vol. 45, Issue 10
Derivation of the Hall and extended magnetohydrodynamics brackets
journal, June 2016
- D'Avignon, Eric C.; Morrison, Philip J.; Lingam, Manasvi
- Physics of Plasmas, Vol. 23, Issue 6
Hamiltonian formalism of extended magnetohydrodynamics
journal, May 2015
- Abdelhamid, H. M.; Kawazura, Y.; Yoshida, Z.
- Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 23
Remarkable connections between extended magnetohydrodynamics models
journal, July 2015
- Lingam, M.; Morrison, P. J.; Miloshevich, G.
- Physics of Plasmas, Vol. 22, Issue 7
Mathematical Principles of Classical Fluid Mechanics
book, January 1959
- Serrin, James
- Encyclopedia of Physics / Handbuch der Physik
Hamiltonian approach to the description of non-linear plasma phenomena
journal, December 1985
- Zakharov, V. E.; Musher, S. L.; Rubenchik, A. M.
- Physics Reports, Vol. 129, Issue 5
Nonlinear stability of fluid and plasma equilibria
journal, July 1985
- Holm, Darryl D.; Marsden, Jerrold E.; Ratiu, Tudor
- Physics Reports, Vol. 123, Issue 1-2
Hamiltonian Fluid Mechanics
journal, January 1988
- Salmon, R.
- Annual Review of Fluid Mechanics, Vol. 20, Issue 1
Kolmogorov Spectra of Turbulence I: Wave Turbulence
book, January 1992
- Zakharov, Vladimir E.; L’vov, Victor S.; Falkovich, Gregory
- Springer Series in Nonlinear Dynamics
Hamiltonian description of the ideal fluid
journal, April 1998
- Morrison, P. J.
- Reviews of Modern Physics, Vol. 70, Issue 2
Hamiltonian and action principle formulations of plasma physics
journal, May 2005
- Morrison, P. J.
- Physics of Plasmas, Vol. 12, Issue 5
Hamiltonian magnetohydrodynamics: Lagrangian, Eulerian, and dynamically accessible stability—Theory
journal, September 2013
- Andreussi, T.; Morrison, P. J.; Pegoraro, F.
- Physics of Plasmas, Vol. 20, Issue 9
Hamiltonian magnetohydrodynamics: Lagrangian, Eulerian, and dynamically accessible stability—Examples with translation symmetry
journal, October 2016
- Andreussi, T.; Morrison, P. J.; Pegoraro, F.
- Physics of Plasmas, Vol. 23, Issue 10
Stability of compressible reduced magnetohydrodynamic equilibria—Analogy with magnetorotational instability
journal, April 2013
- Morrison, P. J.; Tassi, E.; Tronko, N.
- Physics of Plasmas, Vol. 20, Issue 4
Hamiltonian formulation of reduced magnetohydrodynamics
journal, January 1984
- Morrison, P. J.; Hazeltine, R. D.
- Physics of Fluids, Vol. 27, Issue 4
Hamiltonian four-field model for nonlinear tokamak dynamics
journal, January 1987
- Hazeltine, R. D.; Hsu, C. T.; Morrison, P. J.
- Physics of Fluids, Vol. 30, Issue 10
Hamiltonian and action formalisms for two-dimensional gyroviscous magnetohydrodynamics
journal, August 2014
- Morrison, P. J.; Lingam, M.; Acevedo, R.
- Physics of Plasmas, Vol. 21, Issue 8
Hall viscosity: A link between quantum Hall systems, plasmas and liquid crystals
journal, July 2015
- Lingam, Manasvi
- Physics Letters A, Vol. 379, Issue 22-23
A Hamiltonian five-field gyrofluid model
journal, November 2015
- Keramidas Charidakos, I.; Waelbroeck, F. L.; Morrison, P. J.
- Physics of Plasmas, Vol. 22, Issue 11
An Action Principle for Magnetohydrodynamics
journal, December 1963
- Calkin, M. G.
- Canadian Journal of Physics, Vol. 41, Issue 12
Fluid element relabeling symmetry
journal, August 1996
- Padhye, Nikhil; Morrison, P. J.
- Physics Letters A, Vol. 219, Issue 5-6
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
Singular Casimir Elements of the Euler Equation and Equilibrium Points
journal, April 2013
- Yoshida, Zensho; Morrison, Philip J.; Dobarro, Fernando
- Journal of Mathematical Fluid Mechanics, Vol. 16, Issue 1
Nonlinear collisionless magnetic reconnection
journal, December 1993
- Ottaviani, M.; Porcelli, F.
- Physical Review Letters, Vol. 71, Issue 23
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
Phase Mixing and Island Saturation in Hamiltonian Reconnection
journal, May 2001
- Grasso, D.; Califano, F.; Pegoraro, F.
- Physical Review Letters, Vol. 86, Issue 22
Hamiltonian formulation and analysis of a collisionless fluid reconnection model
journal, June 2008
- Tassi, E.; Morrison, P. J.; Waelbroeck, F. L.
- Plasma Physics and Controlled Fusion, Vol. 50, Issue 8
Numerical investigation of a compressible gyrofluid model for collisionless magnetic reconnection
journal, April 2012
- Comisso, L.; Grasso, D.; Tassi, E.
- Physics of Plasmas, Vol. 19, Issue 4
Gyro-induced acceleration of magnetic reconnection
journal, September 2013
- Comisso, L.; Grasso, D.; Waelbroeck, F. L.
- Physics of Plasmas, Vol. 20, Issue 9
Explosive magnetic reconnection caused by an X-shaped current-vortex layer in a collisionless plasma
journal, May 2015
- Hirota, M.; Hattori, Y.; Morrison, P. J.
- Physics of Plasmas, Vol. 22, Issue 5
Hamiltonian formalism for nonlinear waves
journal, November 1997
- Zakharov, V. E.; Kuznetsov, Evgenii A.
- Physics-Uspekhi, Vol. 40, Issue 11
Hamiltonian canonical formulation of Hall-magnetohydrodynamics: Toward an application to weak turbulence theory
journal, May 2003
- Sahraoui, F.; Belmont, G.; Rezeau, L.
- Physics of Plasmas, Vol. 10, Issue 5
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
A method for Hamiltonian truncation: a four-wave example
journal, March 2016
- Viscondi, Thiago F.; Caldas, Iberê L.; Morrison, Philip J.
- Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 16
A symplectic integration algorithm for separable Hamiltonian functions
journal, January 1991
- Candy, J.; Rozmus, W.
- Journal of Computational Physics, Vol. 92, Issue 1
Variational Symplectic Integrator for Long-Time Simulations of the Guiding-Center Motion of Charged Particles in General Magnetic Fields
journal, January 2008
- Qin, Hong; Guan, Xiaoyin
- Physical Review Letters, Vol. 100, Issue 3
Variational formulation of particle algorithms for kinetic plasma simulations
journal, July 2013
- Evstatiev, E. G.; Shadwick, B. A.
- Journal of Computational Physics, Vol. 245
Development of variational guiding center algorithms for parallel calculations in experimental magnetic equilibria
journal, April 2015
- Ellison, C. Leland; Finn, J. M.; Qin, H.
- Plasma Physics and Controlled Fusion, Vol. 57, Issue 5
Second order gyrokinetic theory for particle-in-cell codes
journal, August 2016
- Tronko, Natalia; Bottino, Alberto; Sonnendrücker, Eric
- Physics of Plasmas, Vol. 23, Issue 8
Dynamo Action in Magnetohydrodynamics and Hall‐Magnetohydrodynamics
journal, April 2003
- Mininni, Pablo D.; Gomez, Daniel O.; Mahajan, Swadesh M.
- The Astrophysical Journal, Vol. 587, Issue 1
A heuristic model for MRI turbulent stresses in Hall MHD
journal, April 2016
- Lingam, Manasvi; Bhattacharjee, Amitava
- Monthly Notices of the Royal Astronomical Society, Vol. 460, Issue 1
Hall Current Effects in Mean-Field Dynamo Theory
journal, September 2016
- Lingam, Manasvi; Bhattacharjee, Amitava
- The Astrophysical Journal, Vol. 829, Issue 1
Modelling astrophysical outflows via the unified dynamo–reverse dynamo mechanism
journal, February 2015
- Lingam, Manasvi; Mahajan, Swadesh M.
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 449, Issue 1
Magnetic fluctuations and Hall magnetohydrodynamic turbulence in the solar wind
journal, January 2004
- Krishan, V.
- Journal of Geophysical Research, Vol. 109, Issue A11
Wave turbulence in incompressible Hall magnetohydrodynamics
journal, May 2006
- Galtier, SÉBastien
- Journal of Plasma Physics, Vol. 72, Issue 05
Multiscale Hall‐Magnetohydrodynamic Turbulence in the Solar Wind
journal, February 2007
- Galtier, Sebastien; Buchlin, Eric
- The Astrophysical Journal, Vol. 656, Issue 1
3D Simulations of Fluctuation Spectra in the Hall-MHD Plasma
journal, January 2009
- Shaikh, Dastgeer; Shukla, P. K.
- Physical Review Letters, Vol. 102, Issue 4
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
Evidence of a Cascade and Dissipation of Solar-Wind Turbulence at the Electron Gyroscale
journal, June 2009
- Sahraoui, F.; Goldstein, M. L.; Robert, P.
- Physical Review Letters, Vol. 102, Issue 23
A contemporary view of coronal heating
journal, July 2012
- Parnell, Clare E.; De Moortel, Ineke
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 370, Issue 1970
The Solar Wind as a Turbulence Laboratory
journal, January 2013
- Bruno, Roberto; Carbone, Vincenzo
- Living Reviews in Solar Physics, Vol. 10
Scaling of the Electron Dissipation Range of Solar wind Turbulence
journal, October 2013
- Sahraoui, F.; Huang, S. Y.; Belmont, G.
- The Astrophysical Journal, Vol. 777, Issue 1
Solar Wind Turbulence and the Role of Ion Instabilities
journal, August 2013
- Alexandrova, O.; Chen, C. H. K.; Sorriso-Valvo, L.
- Space Science Reviews, Vol. 178, Issue 2-4
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
Sawtooth Instability in Tokamak Plasmas
journal, January 1997
- Hastie, R. J.
- Astrophysics and Space Science, Vol. 256, Issue 1/2, p. 177-204
Chiral exact relations for helicities in Hall magnetohydrodynamic turbulence
journal, March 2016
- Banerjee, Supratik; Galtier, Sébastien
- Physical Review E, Vol. 93, Issue 3
On energy conservation in extended magnetohydrodynamics
journal, August 2014
- Kimura, Keiji; Morrison, P. J.
- Physics of Plasmas, Vol. 21, Issue 8
Inertial magnetohydrodynamics
journal, March 2015
- Lingam, M.; Morrison, P. J.; Tassi, E.
- Physics Letters A, Vol. 379, Issue 6
Collisionless magnetic reconnection with arbitrary guide field
journal, October 2004
- Fitzpatrick, Richard; Porcelli, Franco
- Physics of Plasmas, Vol. 11, Issue 10
Erratum: Collisionless magnetic reconnection with arbitrary guide-field [Phys. Plasmas 11, 4713 (2004)]
journal, April 2007
- Fitzpatrick, Richard; Porcelli, Franco
- Physics of Plasmas, Vol. 14, Issue 4
Collisionless Dynamo
journal, September 1994
- Kleva, Robert G.
- Physical Review Letters, Vol. 73, Issue 11
Hamiltonian structure of two-fluid plasma dynamics
journal, April 1982
- Spencer, Richard G.; Kaufman, Allan N.
- Physical Review A, Vol. 25, Issue 4
Relaxation of a Two-Specie Magnetofluid
journal, November 1997
- Steinhauer, L. C.; Ishida, A.
- Physical Review Letters, Vol. 79, Issue 18
Hall Effects on Magnetic Relaxation
journal, January 1986
- Turner, Leaf
- IEEE Transactions on Plasma Science, Vol. 14, Issue 6
Invariants in dissipationless hydrodynamic media
journal, March 1993
- Tur, A. V.; Yanovsky, V. V.
- Journal of Fluid Mechanics, Vol. 248
The degree of knottedness of tangled vortex lines
journal, January 1969
- Moffatt, H. K.
- Journal of Fluid Mechanics, Vol. 35, Issue 1
The topological properties of magnetic helicity
journal, October 1984
- Berger, Mitchell A.; Field, George B.
- Journal of Fluid Mechanics, Vol. 147, Issue -1
Universality of Solar-Wind Turbulent Spectrum from MHD to Electron Scales
journal, October 2009
- Alexandrova, O.; Saur, J.; Lacombe, C.
- Physical Review Letters, Vol. 103, Issue 16
Observation and theoretical modeling of electron scale solar wind turbulence
journal, March 2011
- Sahraoui, Fouad; Goldstein, Melvyn L.; Abdul-Kader, K.
- Comptes Rendus Physique, Vol. 12, 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
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
Measurement of the rugged invariants of magnetohydrodynamic turbulence in the solar wind
journal, January 1982
- Matthaeus, William H.; Goldstein, Melvyn L.
- Journal of Geophysical Research, Vol. 87, Issue A8
On some statistical properties of hydrodynamical and magneto-hydrodynamical fields
journal, January 1952
- Lee, T. D.
- Quarterly of Applied Mathematics, Vol. 10, Issue 1
Inertial Ranges in Two-Dimensional Turbulence
journal, January 1967
- Kraichnan, Robert H.
- Physics of Fluids, Vol. 10, Issue 7
Helical turbulence and absolute equilibrium
journal, August 1973
- Kraichnan, Robert H.
- Journal of Fluid Mechanics, Vol. 59, Issue 4
Two-dimensional turbulence
journal, May 1980
- Kraichnan, R. H.; Montgomery, D.
- Reports on Progress in Physics, Vol. 43, Issue 5
The equilibrium statistical mechanics of simple quasi-geostrophic models
journal, June 1976
- Salmon, Rick; Holloway, Greg; Hendershott, Myrl C.
- Journal of Fluid Mechanics, Vol. 75, Issue 4
Fundamental statistical descriptions of plasma turbulence in magnetic fields
journal, April 2002
- Krommes, John A.
- Physics Reports, Vol. 360, Issue 1-4
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
Variational Principles and Self-Organization in Two-Fluid Plasmas
journal, February 2002
- Yoshida, Z.; Mahajan, S. M.
- Physical Review Letters, Vol. 88, Issue 9
Statistical mechanics of magnetohydrodynamics
journal, May 1996
- Ito, Nobuyasu; Yoshida, Zensho
- Physical Review E, Vol. 53, Issue 5
Statistical mechanics of three-dimensional magnetohydrodynamics in a multiply connected domain
journal, April 1998
- Jordan, Richard; Yoshida, Zensho; Ito, Nobuyasu
- Physica D: Nonlinear Phenomena, Vol. 114, Issue 3-4
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
Simulation of high-frequency solar wind power spectra using Hall magnetohydrodynamics
journal, February 1996
- Ghosh, S.; Siregar, E.; Roberts, D. A.
- Journal of Geophysical Research: Space Physics, Vol. 101, Issue A2
Electron magnetohydrodynamic turbulence: universal features
journal, February 2015
- Shivamoggi, Bhimsen K.
- The European Physical Journal D, Vol. 69, Issue 2
Two-Dimensional Electron Magnetohydrodynamic Turbulence
journal, February 1996
- Biskamp, D.; Schwarz, E.; Drake, J. F.
- Physical Review Letters, Vol. 76, Issue 8
Electron magnetohydrodynamic turbulence
journal, March 1999
- Biskamp, D.; Schwarz, E.; Zeiler, A.
- Physics of Plasmas, Vol. 6, Issue 3
Hydrodynamic regime of two-dimensional electron magnetohydrodynamics
journal, May 2000
- Dastgeer, Sheikh; Das, Amita; Kaw, Predhiman
- Physics of Plasmas, Vol. 7, Issue 5
The Wisconsin Plasma Astrophysics Laboratory
journal, August 2015
- Forest, C. B.; Flanagan, K.; Brookhart, M.
- Journal of Plasma Physics, Vol. 81, Issue 5
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
Astrophysical magnetic fields and nonlinear dynamo theory
journal, October 2005
- Brandenburg, Axel; Subramanian, Kandaswamy
- Physics Reports, Vol. 417, Issue 1-4
On the Inverse Cascade of Magnetic Helicity
journal, March 2006
- Alexakis, Alexandros; Mininni, Pablo D.; Pouquet, Annick
- The Astrophysical Journal, Vol. 640, Issue 1
Magnetic reconnection as an element of turbulence
journal, January 2011
- Servidio, S.; Dmitruk, P.; Greco, A.
- Nonlinear Processes in Geophysics, Vol. 18, Issue 5
Relation of astrophysical turbulence and magnetic reconnection
journal, January 2012
- Lazarian, A.; Eyink, Gregory L.; Vishniac, E. T.
- Physics of Plasmas, Vol. 19, Issue 1
Optics in the relativistic regime
journal, April 2006
- Mourou, Gerard A.; Tajima, Toshiki; Bulanov, Sergei V.
- Reviews of Modern Physics, Vol. 78, Issue 2
Physics of strongly magnetized neutron stars
journal, August 2006
- Harding, Alice K.; Lai, Dong
- Reports on Progress in Physics, Vol. 69, Issue 9
GRB 080319B: evidence for relativistic turbulence, not internal shocks
journal, May 2009
- Kumar, Pawan; Narayan, Ramesh
- Monthly Notices of the Royal Astronomical Society, Vol. 395, Issue 1
The Internal-Collision-Induced Magnetic Reconnection and Turbulence (Icmart) Model of Gamma-Ray Bursts
journal, December 2010
- Zhang, Bing; Yan, Huirong
- The Astrophysical Journal, Vol. 726, Issue 2
Three-Dimensional Simulations of Magnetohydrodynamic Turbulence Behind Relativistic Shock Waves and Their Implications for Gamma-Ray Bursts
journal, May 2011
- Inoue, Tsuyoshi; Asano, Katsuaki; Ioka, Kunihito
- The Astrophysical Journal, Vol. 734, Issue 2
Inverse Cascade of Nonhelical Magnetic Turbulence in a Relativistic Fluid
journal, October 2014
- Zrake, Jonathan
- The Astrophysical Journal, Vol. 794, Issue 2
Action principle for relativistic magnetohydrodynamics
journal, April 2015
- D’Avignon, Eric; Morrison, P. J.; Pegoraro, F.
- Physical Review D, Vol. 91, Issue 8
Works referencing / citing this record:
Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales
journal, July 2018
- Miloshevich, George; Morrison, Philip J.; Tassi, Emanuele
- Physics of Plasmas, Vol. 25, Issue 7
Modeling Imbalanced Collisionless Alfvén Wave Turbulence with Nonlinear Diffusion Equations
journal, December 2019
- Miloshevich, G.; Passot, T.; Sulem, P. L.
- The Astrophysical Journal, Vol. 888, Issue 1
Compressible helical turbulence: Fastened-structure geometry and statistics
preprint, January 2019
- Zhu, Jian-Zhou
- arXiv