Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1347255
- Grant/Contract Number:
- AC02-09CH-11466; FG02-04ER-54742
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- Physics Letters. A
- Additional Journal Information:
- Journal Name: Physics Letters. A Journal Volume: 380 Journal Issue: 31-32; Journal ID: ISSN 0375-9601
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
Citation Formats
Lingam, Manasvi, Miloshevich, George, and Morrison, Philip J. Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics. Netherlands: N. p., 2016.
Web. doi:10.1016/j.physleta.2016.05.024.
Lingam, Manasvi, Miloshevich, George, & Morrison, Philip J. Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics. Netherlands. https://doi.org/10.1016/j.physleta.2016.05.024
Lingam, Manasvi, Miloshevich, George, and Morrison, Philip J. Fri .
"Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics". Netherlands. https://doi.org/10.1016/j.physleta.2016.05.024.
@article{osti_1347255,
title = {Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics},
author = {Lingam, Manasvi and Miloshevich, George and Morrison, Philip J.},
abstractNote = {},
doi = {10.1016/j.physleta.2016.05.024},
journal = {Physics Letters. A},
number = 31-32,
volume = 380,
place = {Netherlands},
year = {Fri Jul 01 00:00:00 EDT 2016},
month = {Fri Jul 01 00:00:00 EDT 2016}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physleta.2016.05.024
https://doi.org/10.1016/j.physleta.2016.05.024
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 36 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
The degree of knottedness of tangled vortex lines
journal, January 1969
- Moffatt, H. K.
- Journal of Fluid Mechanics, Vol. 35, Issue 1
Magnetic topology and the problem of its invariant definition
journal, March 1996
- Hornig, G.; Schindler, K.
- Physics of Plasmas, Vol. 3, Issue 3
Towards a third-order topological invariant for magnetic fields
journal, April 2002
- Hornig, Gunnar; Mayer, Christoph
- Journal of Physics A: Mathematical and General, Vol. 35, Issue 17
Generalised relativistic Ohm's laws, extended gauge transformations, and magnetic linking
journal, November 2015
- Pegoraro, F.
- Physics of Plasmas, Vol. 22, Issue 11
Self-Organized Braiding and the Structure of Coronal Loops
journal, October 2009
- Berger, Mitchell A.; Asgari-Targhi, Mahboubeh
- The Astrophysical Journal, Vol. 705, Issue 1
Electron magnetohydrodynamics
journal, July 1994
- Gordeev, A. V.; Kingsep, A. S.; Rudakov, L. I.
- Physics Reports, Vol. 243, Issue 5
Magnetic Helicity, Tilt, and Twist
journal, September 2014
- Pevtsov, Alexei A.; Berger, Mitchell A.; Nindos, Alexander
- Space Science Reviews, Vol. 186, Issue 1-4
Biot-Savart helicity versus physical helicity: A topological description of ideal flows
journal, August 2014
- Sahihi, Taliya; Eshraghi, Homayoon
- Journal of Mathematical Physics, Vol. 55, Issue 8
The life of a vortex knot
journal, September 2014
- Kleckner, Dustin; Scheeler, Martin W.; Irvine, William T. M.
- Physics of Fluids, Vol. 26, Issue 9
Relabeling symmetry in relativistic fluids and plasmas
journal, October 2014
- Kawazura, Yohei; Yoshida, Zensho; Fukumoto, Yasuhide
- Journal of Physics A: Mathematical and Theoretical, Vol. 47, Issue 46
Relaxation and magnetic reconnection in plasmas
journal, July 1986
- Taylor, J. B.
- Reviews of Modern Physics, Vol. 58, Issue 3
Über die Ausbreitung von Wellen in einem Plasma
journal, January 1959
- Lüst, Reimar
- Fortschritte der Physik, Vol. 7, Issue 9
Temperature-Transformed “Minimal Coupling”: Magnetofluid Unification
journal, January 2003
- Mahajan, S. M.
- Physical Review Letters, Vol. 90, Issue 3
Inertial magnetohydrodynamics
journal, March 2015
- Lingam, M.; Morrison, P. J.; Tassi, E.
- Physics Letters A, Vol. 379, Issue 6
Knots and links in steady solutions of the Euler equation
journal, January 2012
- Enciso, Alberto; Peralta-Salas, Daniel
- Annals of Mathematics, Vol. 175, Issue 1
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
The energy spectrum of knots and links
journal, September 1990
- Moffatt, H. K.
- Nature, Vol. 347, Issue 6291
Topological invariants of magnetic fields, and the effect of reconnections
journal, February 1994
- Ruzmaikin, Alexander; Akhmetiev, Peter
- Physics of Plasmas, Vol. 1, Issue 2
Fluid element relabeling symmetry
journal, August 1996
- Padhye, Nikhil; Morrison, P. J.
- Physics Letters A, Vol. 219, Issue 5-6
Canonical Hamiltonian mechanics of Hall magnetohydrodynamics and its limit to ideal magnetohydrodynamics
journal, July 2013
- Yoshida, Z.; Hameiri, E.
- Journal of Physics A: Mathematical and Theoretical, Vol. 46, Issue 33
Invariants in dissipationless hydrodynamic media
journal, March 1993
- Tur, A. V.; Yanovsky, V. V.
- Journal of Fluid Mechanics, Vol. 248
The writhe of open and closed curves
journal, June 2006
- Berger, Mitchell A.; Prior, Chris
- Journal of Physics A: Mathematical and General, Vol. 39, Issue 26
Magnetohydrodynamic processes in the solar corona: Flares, coronal mass ejections, and magnetic helicity*
journal, May 1994
- Low, B. C.
- Physics of Plasmas, Vol. 1, Issue 5
Conservation of Magnetic Helicity during Plasma Relaxation
journal, April 1995
- Ji, H.; Prager, S. C.; Sarff, J. S.
- Physical Review Letters, Vol. 74, Issue 15
Rigorous new limits on magnetic helicity dissipation in the solar corona
journal, September 1984
- Berger, Mitchell A.
- Geophysical & Astrophysical Fluid Dynamics, Vol. 30, Issue 1-2
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
Self-Organizing Knotted Magnetic Structures in Plasma
journal, August 2015
- Smiet, C. B.; Candelaresi, S.; Thompson, A.
- Physical Review Letters, Vol. 115, Issue 9
Hall Effects on Magnetic Relaxation
journal, January 1986
- Turner, Leaf
- IEEE Transactions on Plasma Science, Vol. 14, Issue 6
Helicity conservation by flow across scales in reconnecting vortex links and knots
journal, October 2014
- Scheeler, M. W.; Kleckner, D.; Proment, D.
- Proceedings of the National Academy of Sciences, Vol. 111, Issue 43
Hamiltonian structure of two-fluid plasma dynamics
journal, April 1982
- Spencer, Richard G.; Kaufman, Allan N.
- Physical Review A, Vol. 25, Issue 4
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
On the derivation of the HOMFLYPT polynomial invariant for fluid knots
journal, May 2015
- Liu, Xin; Ricca, Renzo L.
- Journal of Fluid Mechanics, Vol. 773
Relaxation of Toroidal Plasma and Generation of Reverse Magnetic Fields
journal, November 1974
- Taylor, J. B.
- Physical Review Letters, Vol. 33, Issue 19
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
Nonlinear collisionless magnetic reconnection
journal, December 1993
- Ottaviani, M.; Porcelli, F.
- Physical Review Letters, Vol. 71, Issue 23
Evolution of vortex knots
journal, July 1999
- Ricca, Renzo L.; Samuels, David C.; Barenghi, Carlo F.
- Journal of Fluid Mechanics, Vol. 391
The Magnetic Helicity Budget of Solar Active Regions and Coronal Mass Ejections
journal, September 2003
- Nindos, A.; Zhang, J.; Zhang, H.
- The Astrophysical Journal, Vol. 594, Issue 2
Helicity content and tokamak applications of helicity
journal, January 1986
- Boozer, Allen H.
- Physics of Fluids, Vol. 29, Issue 12
The Jones polynomial for fluid knots from helicity
journal, May 2012
- Liu, Xin; Ricca, Renzo L.
- Journal of Physics A: Mathematical and Theoretical, Vol. 45, Issue 20
The topological properties of magnetic helicity
journal, October 1984
- Berger, Mitchell A.; Field, George B.
- Journal of Fluid Mechanics, Vol. 147, Issue -1
Double Curl Beltrami Flow: Diamagnetic Structures
journal, November 1998
- Mahajan, S. M.; Yoshida, Z.
- Physical Review Letters, Vol. 81, Issue 22
Magnetic Helicity Injection in Active Regions
journal, December 2007
- Jeong, Hyewon; Chae, Jongchul
- The Astrophysical Journal, Vol. 671, Issue 1
Helicity in Laminar and Turbulent Flow
journal, January 1992
- Moffatt, H. K.; Tsinober, A.
- Annual Review of Fluid Mechanics, Vol. 24, Issue 1
Perfect fluid theory and its extensions
journal, October 2004
- Jackiw, R.; Nair, V. P.; Pi, S-Y
- Journal of Physics A: Mathematical and General, Vol. 37, Issue 42
An Action Principle for Magnetohydrodynamics
journal, December 1963
- Calkin, M. G.
- Canadian Journal of Physics, Vol. 41, Issue 12
Third-order link integrals
journal, July 1990
- Berger, M. A.
- Journal of Physics A: Mathematical and General, Vol. 23, Issue 13
Dynamics of braided coronal loops: II. Cascade to multiple small-scale reconnection events
journal, December 2010
- Pontin, D. I.; Wilmot-Smith, A. L.; Hornig, G.
- Astronomy & Astrophysics, Vol. 525
Hamiltonian description of the ideal fluid
journal, April 1998
- Morrison, P. J.
- Reviews of Modern Physics, Vol. 70, Issue 2
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
Writhe in the stretch-twist-fold dynamo
journal, February 2009
- Asgari-Targhi, Mahboubeh; Berger, Mitchell A.
- Geophysical & Astrophysical Fluid Dynamics, Vol. 103, Issue 1
Topological Methods for the Analysis of Solar Magnetic Fields
journal, January 2005
- Longcope, Dana W.
- Living Reviews in Solar Physics, Vol. 2
The Biot–Savart operator for application to knot theory, fluid dynamics, and plasma physics
journal, January 2001
- Cantarella, Jason; DeTurck, Dennis; Gluck, Herman
- Journal of Mathematical Physics, Vol. 42, Issue 2
Creation and dynamics of knotted vortices
journal, March 2013
- Kleckner, Dustin; Irvine, William T. M.
- Nature Physics, Vol. 9, Issue 4
Relativistic helicity and link in Minkowski space-time
journal, April 2014
- Yoshida, Z.; Kawazura, Y.; Yokoyama, T.
- Journal of Mathematical Physics, Vol. 55, Issue 4
Helicity conservation via the Noether theorem
journal, March 1995
- Yahalom, Asher
- Journal of Mathematical Physics, Vol. 36, Issue 3
Introduction to magnetic helicity
journal, December 1999
- Berger, Mitchell A.
- Plasma Physics and Controlled Fusion, Vol. 41, Issue 12B
Topological Constraints on Magnetic Relaxation
journal, August 2010
- Yeates, A. R.; Hornig, G.; Wilmot-Smith, A. L.
- Physical Review Letters, Vol. 105, Issue 8
The action principle for generalized fluid motion including gyroviscosity
journal, November 2014
- Lingam, M.; Morrison, P. J.
- Physics Letters A, Vol. 378, Issue 47
On a new integral formula for an invariant of 3-component oriented links
journal, February 2005
- Akhmetiev, Peter M.
- Journal of Geometry and Physics, Vol. 53, Issue 2
Contact topology and hydrodynamics: I. Beltrami fields and the Seifert conjecture
journal, February 2000
- Etnyre, John; Ghrist, Robert
- Nonlinearity, Vol. 13, Issue 2
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
Link Invariants of Electromagnetic Fields
journal, January 2004
- v. Bodecker, Hanno; Hornig, Gunnar
- Physical Review Letters, Vol. 92, Issue 3
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
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
Divergence-Free Fields: Energy and Asymptotic Crossing Number
journal, July 1991
- Freedman, Michael H.; He, Zheng-Xu
- The Annals of Mathematics, Vol. 134, Issue 1
Three-dimensional magnetic reconnection regimes: A review
journal, May 2011
- Pontin, D. I.
- Advances in Space Research, Vol. 47, Issue 9
Astrophysical magnetic fields and nonlinear dynamo theory
journal, October 2005
- Brandenburg, Axel; Subramanian, Kandaswamy
- Physics Reports, Vol. 417, Issue 1-4
Energy-crossing number relations for braided magnetic fields
journal, February 1993
- Berger, M. A.
- Physical Review Letters, Vol. 70, Issue 6
A Theorem on Force-Free Magnetic Fields
journal, June 1958
- Woltjer, L.
- Proceedings of the National Academy of Sciences, Vol. 44, Issue 6
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
Action principles for extended magnetohydrodynamic models
journal, September 2014
- Keramidas Charidakos, I.; Lingam, M.; Morrison, P. J.
- Physics of Plasmas, Vol. 21, Issue 9
Quantum field theory and the Jones polynomial
journal, September 1989
- Witten, Edward
- Communications in Mathematical Physics, Vol. 121, Issue 3
Yang-Mills Magnetofluid Unification
journal, August 2006
- Bambah, Bindu A.; Mahajan, Swadesh M.; Mukku, Chandrasekher
- Physical Review Letters, Vol. 97, Issue 7
On energy conservation in extended magnetohydrodynamics
journal, August 2014
- Kimura, Keiji; Morrison, P. J.
- Physics of Plasmas, Vol. 21, Issue 8
Current Status of Turbulent Dynamo Theory: From Large-Scale to Small-Scale Dynamos
journal, July 2012
- Brandenburg, Axel; Sokoloff, Dmitry; Subramanian, Kandaswamy
- Space Science Reviews, Vol. 169, Issue 1-4