Prof. R.L. DEWARProf. M.J. HOLE Dr. J. LOIZU Dr. S.R. HUDSON
MULTI-REGION RELAxED MHD publications presentations projects
STEPPED PRESSURE EQUILIBRIUM CODE subroutines
updated 7:17AM EDT, Sat Mar 11, 2017 INTERNATIONAL EDITION     ENGLISH POWERED BY HUDSON

PUBLICATION
10 Mar 2017
Em. Prof. R.L. Dewar, Dr. S.R. Hudson, Prof. A. Bhattacharjee & Prof. Z. Yoshida have an article accepted for publication in Physics of Plasmas.
  1. PUBLICATIONS

  2. Multi-region relaxed magnetohydrodynamics in plasmas with slowly changing boundaries --- resonant response of a plasma slab
    Robert L. Dewar, Stuart R. Hudson et al.
    Phys. Plasmas 24, 04xxxx (2017)

  3. The spectrum of multi-region-relaxed magnetohydrodynamic modes in topologically toroidal geometry
    Robert L. Dewar, L.H. Tuen and M. J. Hole
    Plasma Phys. Control. Fusion 59, 044009 (2017)

  4. Verification of the SPEC code in stellarator geometries
    J. Loizu, S.R. Hudson & C. Nührenberg
    Phys. Plasmas, 23, 112505 (2016)

  5. Multi-region relaxed Hall magnetohydrodynamics with flow
    Manasvi Lingam, Hamdi M. Abdelhamid and Stuart R. Hudson.
    Physics of Plasmas, accepted (2016)  

  6. Pressure-driven amplification and penetration of resonant magnetic perturbations
    J. Loizu, S.R. Hudson, P. Helander, S. Lazerson, A.B. Bhattacharjee
    Phys. Plasmas, 23, 055703 (2016)  

  7. Variational formulation of relaxed and multi-region relaxed magnetohydrodynamics
    R.L. Dewar, Z. Yoshida, A. Bhattacharjee, S.R. Hudson
    J. Plas. Physics, 81, 515810604 (2015)  

  8. Existence of three-dimensional ideal-MHD equilibria with current sheets
    J. Loizu, S. R. Hudson, A. Bhattacharjee, S. Lazerson and P. Helander
    Phys. Plasmas, 22, 090704 (2015)  

  9. Magnetic islands and singular currents at rational surfaces in three-dimensional MHD equilibria
    J. Loizu, S. Hudson, A. Bhattacharjee, and P. Helander
    Phys. Plasmas, 22, 022501 (2015)  

  10. Modeling the Single-Helical Axis State in the Reversed-Field Pinch
    G.R. Dennis, S.R.Hudson, M.J. Hole
    IEEE Transactions on Plasma Science, 42(10):2514, 2014

  11. Multi-region relaxed magnetohydrodynamics with anisotrophy and flow
    G.R. Dennis, S.R.Hudson, R.L. Dewar and M.J. Hole
    Phys. Plasmas, 21:072512, 2014

  12. Multi-region relaxed magnetohydrodynamics with flow
    G.R. Dennis, S.R.Hudson, R.L. Dewar and M.J. Hole
    Phys. Plasmas, 21:042501, 2014

  13. Plasmoid solutions of the Hahm-Kulsrud-Taylor equilibrium model
    R. L. Dewar, A. Bhattacharjee, R. M. Kulsrud, and A. M. Wright
    Phys. Plasmas, 20:082103, 2013

  14. Minimally Constrained Model of Self-Organized Helical States in Reversed-Field Pinches
    G. R. Dennis, S. R. Hudson, D. Terranova et al.
    Phys. Rev. Lett., 111:055003, 2013

  15. Hamilton-Jacobi theory for connecting equilibrium magnetic fields across a toroidal surface supporting a plasma pressure discontinuity
    M. McGann
    PhD Thesis, The Australian National University, 2013

  16. The infinite interface limit of multiple-region relaxed magnetohydrodynamics
    G.R. Dennis, S.R.Hudson, R.L. Dewar and M.J. Hole
    Phys. Plasmas, 20:032509, 2013

  17. Computation of multi-region relaxed magnetohydrodynamic equilibria
    S.R.Hudson, R.L.Dewar, G.Dennis et al.
    Phys. Plasmas, 19:112502, 2012

  18. Non-axisymmetric, multi-region relaxed magnetohydrodynamic equilibrium solutions
    S.R.Hudson, R.L. Dewar, M.J. Hole and M. McGann
    Plasma Physics and Controlled Fusion, 54:014005, 2012

  19. Hign-n stability of a pressure discontinuity in three-dimensional plasma
    D. Barmaz
    Master's Thesis, The Australian National University, 2011

  20. Hamilton-Jacobi theory for continuation of magnetic field across a toroidal surface supporting a plasma pressure discontinuity
    M. McGann, S.R.Hudson, R.L. Dewar and G. von Nessi
    Physics Letters A, 374(33):3308, 2010

  21. Relaxed MHD states of a multiple region plasma
    M.J.Hole, R.Mills, S.R.Hudson and R.L.Dewar
    Nucl. Fusion, 49:065019, 2009

  22. Magnetohydrodynamic stability of plasmas with ideal and relaxed regions.
    R.L. Mills, M.J. Hole, and R.L. Dewar
    J. Plasma Physics, 75(5):637, 2009

  23. Relaxed plasma equilibria and entropy-related plasma self-organization principles
    R.L.Dewar, M.J.Hole, M.McGann et al.
    Entropy, 10:621, 2008

  24. Equilibria and stability in partially relaxed plasma-vacuum systems
    M.J. Hole, S.R.Hudson and R.L. Dewar
    Nucl. Fusion, 47(8):746, 2007

  25. Eigenvalue problems for Beltrami fields arising in a 3-D toroidal MHD equilibrium problem
    S.R.Hudson, M.J. Hole and R.L.Dewar
    Phys. Plasmas, 14:052505, 2007

  26. Stepped pressure profile equilibria in cylindrical plasmas via partial Taylor relaxation
    M.J.Hole, S.R.Hudson and R.L.Dewar
    J. Plas. Physics, 72(6), 1167, 2006


  1. CONFERENCE PRESENTATIONS

  2. 2016, 17 Oct - 22 Oct : IAEA Fusion Energy Conference, Kyoto, Japan
    1. invited talk : Penetration and amplification of resonant perturbations in 3D ideal-MHD equilibria [(abstract), (synopsis) ]
      S. R. Hudson, J. Loizu, S. Lazerson, A. Bhattacharjee, and P. Helander

  3. 2016, 29 Aug - 2 Sep : Theory of Fusion Plasmas Joint Varenna - Lausanne International Workshop, Villa Monastero, Varenna, Italy
    1. invited talk : 3D MHD equilibria with current sheets, magnetic islands, and chaos in stellarators and tokamaks [(abstract), ]
      J. Loizu.

  4. 2016, 4 Apr - 6 Apr : International Sherwood Fusion Theory Conference, Madison, WI, USA.
    1. invited talk : Spectrum of multi-region-relaxed magneto-hydrodynamic modes in slab geometry [(pdf) ]
      R.L. Dewar, L.H. Tuen and M.J. Hole.
    2. invited talk : Penetration and amplification of resonant perturbations in 3D ideal-MHD equilibria [(pdf) ]
      S. R. Hudson, J.Loizu, S.Lazerson, A.Bhattacharjee and P.Helander.

  5. 2015, 16 Nov - 20 Nov : 57th Annual Meeting of the APS Division of Plasma Physics, Savannah, Georgia
    1. invited talk : A new class of three-dimensional ideal-MHD equilibria with current sheets [(abstract), (slides) ]
      Joaquim Loizu, Stuart Hudson, Per Helander, Sam Lazerson and Amitava Bhattacharjee

  6. 2015, 5 Oct - 9 Oct : International Stellarator Heliotron Workshop, Greifswald, Germany
    1. poster : A novel solution for the computation of three-dimensional ideal-MHD equilibria with current sheets at resonant surfaces [(abstract), (poster) ]
      J. Loizu, S.R. Hudson et al.

  7. 2015, 22 Jun - 26 Jun : 42nd European Physical Society Conference on Plasma Physics, Lisbon, Portugal,
    1. poster : Plasma ideal response to a non-axisymmetric boundary perturbation [(poster) ]
      J. Loizu, S.R. Hudson A. Bhattacharjee, S. Lazerson and P. Helander
    2. talk : Advanced MHD models of anisotropy, flow and chaotic fields [(slides) ]
      M.J. Hole, M. Fitzgerald, G. Dennis, Zhisong Qu, S. Hudson, R.L. Dewar, D. Terranova, L.C. Appel, P. Franz, G. von Nessi and B. Layden

  8. 2015, 19 May : Workshop on Integrated Simulations for MFES : Category D, Multiscale and Multiphysics.
    1. Presentation : A Multiphysics and Multiscale Coupling of Microturbulence with MHD Equilibria [(ppt), (pdf) ]
      W. W. Lee, E. A. Startsev, S. R. Hudson, W. X. Wang, and S. Ethier

  9. 2015, 16 Mar - 18 Mar : International Sherwood Fusion Theory Conference, Courant Institute, New York
    1. Computation of singular currents at rational surfaces in non-axisymmetric MHD equilibria invited oral
      J. Loizu, S.R. Hudson et al. [slides]
    2. A comparison of linear and nonlinear solutions of MHD equilibria in perturbed cylindrical geometry poster
      S.R. Hudson and J. Loizu. [slides]

  10. 2014, 7 Dec - 11 Dec : Australian Institute of Physics Congress, Canberra, Australia
    1. Plasma relaxation dynamics moderated by current sheets poster
      R. Dewar, A. Bhattacharjee, Z. Yoshida [poster]

  11. 2014, 8 Dec : Max-Planck Princeton Theory Seminar, Plasma Physics Laboratory
    1. seminar : Magnetic islands and singular currents at rational surfaces in 3D MHD equilibria [(ppt), (pdf) ]
      J. Loizu, S.R. Hudson, A. Bhattacharjee, and P. Helander

  12. 2014, 27 Oct - 31 Oct : 56th Annual Meeting of the APS Division of Plasma Physics, New Orleans, Louisiana
    1. Magnetic islands and singular currents at rational surfaces in three-dimensional MHD equilibria poster
      J. Loizu, S. Hudson, A. Bhattacharjee, P. Helander [abstract, poster]
    2. Plasma relaxation dynamics moderated by current sheets poster
      R. Dewar, A. Bhattacharjee, Z. Yoshida [abstract, poster]

  13. 2014, 13 Oct - 18 Oct : 25th IAEA Fusion Energy Conference, Saint Petersburg, Russia
    1. Advanced equilibrium models for anisotropy, flow and chaotic fields talk/poster
      M.J. Hole, M. Fitzgerald, G. Dennis et al. [abstract, synopsis]

  14. 2014 15 Sep - 19 Sep : 17th International Congress on Plasma Physics (ICPP 2014), Lisbon, Portugal
    1. Advanced MHD models of anisotropy, flow and chaotic fields invited talk
      M.J. Hole, M. Fitzgerald, G.R. Dennis et al. [abstract, presentation]
    2. Relaxed And Multiregion Relaxed Magnetohydrodynamics poster
      R.L. Dewar [poster]

  15. 2014, 27 Jun : Max-Planck PPPL Meeting
    1. Magnetic islands and singular currents at rational surfaces: from MRxMHD to ideal MHD talk
      Joaquim Loizu, Stuart Hudson, Amitava Bhattacharjee, Per Helander [(pdf), (ppt) ]

  16. 2013, 16 Sep - 20 Sep : 19th International Stellarator / Heliotron Workshop, Padova, Italy
    2013, 16 Sep - 20 Sep : 16th IAE Reversed Field Pinch Workshop, Padova, Italy

    1. Minimally constrained model of self-organised helical states in RFX invited talk
      G.R.Dennis, S.R.Hudson, D.Terranova et al. [slides]

  17. 2013, 1 Jul - 5 Jul : 40th European Physical Society Conference on Plasma Physics, Espoo, Finland
    1. A minimally constrained model of self-organised helical states in reversed field pinches poster
      G.R.Dennis, S.R.Hudson, R.L.Dewar et al. [poster]

  18. 2013, 15 Apr - 17 Apr : International Sherwood Fusion Theory Conference, Santa Fe, USA
    1. A minimally constrained model of self-organised helical states in reversed-field pinches invited talk
      G.R.Dennis, S.R.Hudson, D.Terranova et al. [slides]

  19. 2013, 12 Apr : National Institute for Fusion Science, Japan
    1. Relaxed MHD equilibria with current sheets oral presentaton
      Robert L. Dewar, Graham Dennis, Matthew Hole et al. [slides]

  20. 2012, 9 Dec - 13 Dec : 20th Australian Institute of Physics Congress, Sydney, Australia.
    1. Taylor relaxation and reversed field pinches oral presentaton
      Graham Dennis, Robert Dewar, Stuart Hudson, Matthew Hole [slides]

  21. 2012, 19 Nov - 22 Nov : 22nd International Toki Conference, Toki, Japan.
    1. Advanced MHD models of anisotropy, flow and chaotic fields oral presentaton
      M. J. Hole, M. Fitzgerald, G. Dennis et al. [abstract, slides]
    2. Theory and numerics of the Stepped Pressure Equilibrium Code poster
      S.R. Hudson, R.L. Dewar, G. Dennis et al. [abstract, poster]

  22. 2012, 4 Sep : ITER
    1. Partially-relaxed, partially-constrained MHD equilibria seminar
      M.J. Hole et al. [slides]

  23. 2012, 29 Jan - 3 Feb : 18th International Stellarator/Heliotron Workshop, Australian National University.
    2012, 29 Jan - 3 Feb : 10th Asia Pacific Plasma Theory Conference, Australian National University.

    1. Nonlinearly perturbed MHD equilibria, with or without magnetic islands invited talk
      S.R. Hudson, R. L. Dewar, M.J. Hole et al. [abstract, slides, pdf]
    2. Multi-region Taylor relaxed states in a reversed field pinch poster
      G. Dennis et al. [poster]
    3. Inverse problem for an equilibrium current sheet poster
      R.L. Dewar [poster]

  24. 2011, 27 Jun - 1 Jul : 38th EPS Conference on Plasma Physics, Strasbourg, France.
    1. Partially-relaxed, partially-constrained MHD equilibria invited talk
      S.R. Hudson, R.L. Dewar, M.J. Hole, M. McGann. [abstract]

  25. 2011, 2 May - 4 May : 2001 International Sherwood Fusion Theory Conference, Austin, Texas, USA.
    1. Computation of non-axisymmetric equilibria using a partially-relaxed, partially-constrained MHD equilibrium model poster
      S.R. Hudson, R.L. Dewar, M.J. Hole, M. McGann. [abstract]

  26. 2011, 11 Apr - 14 Apr : 5th International Workshop on Stochasticity in Fusion Plasmas, Julich, Germany.
    1. Partially-relaxed, topologically-constrained MHD equilibria with chaotic fields selected extended oral
      S.R. Hudson, R.L. Dewar, M.J. Hole, M. McGann. [abstract ]

  27. 2010, 7 Dec - 10 Dec : 20th International Toki Conference (ITC20), Ceratopia, Toki-city, Gifu, Japan.
    1. Multi-volume, partially-relaxed MHD equilibria invited oral contribution
      S.R. Hudson, R.L. Dewar, M.J. Hole, M. McGann. [abstract, slides, slides]

  28. 2009, 12 Oct - 15 Oct : European Fusion Theory Conference, Riga, Latvia.
    1. Equilibrium code consistent with field line chaos: Critical behaviour in toroidal plasma confinement talk
      M. McGann, R.L. Dewar & S.R. Hudson [abstract, slides]

  29. 2009, 21 Sep - 25 Sep : European Conference on Complex Systems, Warwick, UK.
    1. Critical behaviour in toroidal plasma confinement by 3-D magnetic fields talk
      M. McGann, R.L. Dewar & S.R. Hudson [slides]

  30. 2008, 12 Oct - 18 Oct : 22nd IAEA Fusion Energy Conference, Geneva, Switzerland.
    1. Relaxed MHD states of a multiple region plasma paper
      M.J.Hole, R.L.Dewar, S.R. Hudson et al. [paper]

  31. 2008, 24 Aug - 30 Aug : XXII International Congress of Theoretical and Applied Mechanics, Adelaide, Australia.
    1. Equilibrium and stability in relaxed magnetohydrodynamics of toroidal plasmas paper
      R.L. Dewar, M. Hole, M. McGann et al. [paper]

  32. 2008, 3 Feb - 7 Feb : ANZIAM, Australia and New Zealand Industrial and Applied Mathematics .
    1. A novel variational principle for three-dimensional plasma equilibria poster
      R.L. Dewar, S.R. Hudson, M. Hole and M.McGann. [abstract]

  33. 2008, 3 Feb - 6 Feb : Gaseous Electronics Meeting XV, Murramarang, Australia.
    1. A stepped Beltrami field model for internal transport barriers poster
      M.J. Hole, S.R. Hudson and R.L. Dewar. [paper]

  34. 2007, 11 Dec - 13 Dec : 8th Asia Pacific Plasma Theory Conference, Gujarat, India.
    1. A stepped pressure profile model for internal transport barriers talk
      M.J.Hole, S.R. Hudson, R.L.Dewar et al. [slides]

  35. 2007, 12 Nov - 16 Nov : 49th Annual Meeting of the Division of Plasma Physics, Orlando, Florida.
    1. A stepped pressure profile model for internal transport barriers talk
      M.J.Hole, S.R. Hudson and R.L.Dewar. [paper]

  36. 2007, 24 Sep - 27 Sep : 12th European Fusion Theory Conference, Madrid, Spain.
    1. Multiple Nested Beltrami regions as a Solution to the 3-D Toroidal MHD Equilibrium Problem paper
      R. Dewar, M. Hole, S.R. Hudson and M. McGann. [paper]

  37. 2007, 17 Sep - 21 Sep : Nonlinear dynamics and chaos : advances and perspectives, Aberdeen, Scotland.
    1. The MHD equilibrium problem in nonaxisymmetric toroidal plasma confinement systems invited talk
      R.L. Dewar, M.J. Hole, M. McGann and S.R. Hudson. [slides]

  38. 2007, 2 Jul - 5 Jul : 8th Asia-Pacific Complex Systems, Gold Coast, Australia.
    1. Variational principle for relaxed states of a plasma confined by a nonintegrable magnetic field invited talk
      R. Dewar, M. Hole, S.R. Hudson and M. McGann. [paper]

  39. 2006, 16 Oct - 21 Oct : 21st IAEA Fusion Energy Conference, Chengdu, China.
    1. Equilibria and Stability in Partially Relaxed Plasma-Vacuum Systems poster
      M. Hole, S.Hudson and R.L.Dewar. [paper, poster]

  40. 2006, 22 Apr - 25 Apr : APS April Meeting
    1. P16.00002 : Piecewise-Beltrami MHD equilibria invited talk
      R. Dewar, M.J. Hole and S.Hudson [abstract, slides]

  41. 2005, 12 Jul - 15 Jul : 19th International Conference on Numerical Simulation of Plasmas
    2005, 12 Jul - 15 Jul : 7th Asia Pacific Plasma Theory Conference.

    1. Stepped pressure profile equilibria in cylindrical plasmas via partial Taylor relaxation invited talk
      Matthew Hole, Stuart Hudson and Robert Dewar. [abstract]