<b>PPPL</b> PPPL   Theory  
Dr. STUART R. HUDSON ADDRESS & CV   PUBLICATIONS   CONFERENCES  
CODES OCULUS   KNOTOPT   SPEC  

  by year

  1. PUBLICATIONS

  2. Sensitivity of magnetic axis to coil perturbations
    S. R. Hudson et al.
    in preparation (2024)

  3. Three-dimensional, free-boundary, nonzero pressure equilibrium verification calculations with VMEC, DESC and SPEC.
    S. R. Hudson et al.
    in preparation (2024)

  4. A provably stable numerical method for the anisotropic diffusion equation in toroidally confined magnetic fields
    D. Muir et al.
    submitted (2024)

  5. Application of Lagrangian techniques for calculating the on-axis rotational transform
    S. Guinchard, W. Sengupta, S. R. Hudson
    submitted (2024)

  6. Exploration of the parameter space of quasisymmetric stellarator vacuum fields through adjoint optimisation
    Richard Nies, Elizabeth J. Paul, Dario Panici, Stuart R. Hudson & Amitava Bhattacharjee
    submitted (2024)

  7. On the relationship between the multi-region relaxed variational principle and resistive inner layer theory
    A. Kumar, J. Loizu et al.
    Plasma Phys. Control. Fusion 65, 075004 (2023)

  8. Structure of Pressure-Gradient-Driven Current Singularity in Ideal Magnetohydrodynamic Equilibrium
    Yi-Min Huang, Y. Zho et al.
    Plasma Phys. Control. Fusion 65, 034008 (2023), Erratum,

  9. Modelling the nonlinear plasma response to externally-applied 3D fields with SPEC
    A. Wright, P. Kim, S. R. Hudson & N. Ferraro
    J. Plasma. Phys. 88, 905880508 (2022)

  10. Nature of ideal MHD instabilities as described by multi-region relaxed MHD
    A. Kumar, C. Nührenberg, Z. Qu, M.J. Hole1, J. Doak, R.L. Dewar, S.R. Hudson, J. Loizu, K. Aleynikova, A. Baillod & H. Hezaveh
    Plasma Phys. Control. Fusion 64, 065001 (2022)

  11. Numerical approach to δ-function current sheets arising from resonant magnetic perturbations
    Yi-Min Huang, Stuart R. Hudson, Joaquim Loizu, Yao Zhou & Amitava Bhattacharjee
    Phys. Plasmas, 23, 032513 (2022)

  12. Improving the stellarator through advances in plasma theory
    C.C. Hegna, D.T. &erson, A. Bader, T.A. Bechtel, A. Bhattacharjee, M. Cole, M. Drevlak, J.M. Duff, B.J. Faber, S.R. Hudson, M. Kotschenreuther, T.G. Kruger, M. Landreman, I.J. McKinney, E. Paul, M.J. Pueschel, J.S. Schmitt, P.W. Terry, A.S. Ware, M. Zarnstorff & C. Zhu
    Nucl. Fusion, 62, 042012 (2022)

  13. Adjoint methods for quasisymmetry of vacuum fields on a surface
    Richard Nies, Elizabeth J. Paul, Stuart R. Hudson & Amitava Bhattacharjee
    J. Plasma Phys. 88, 905880106 (2022)

  14. Heat conduction in an irregular magnetic field: Part II. Heat transport as a measure of the effective non-integrable volume
    E. J. Paul, S. R. Hudson & P. Helander
    J. Plasma Phys. 88, 905880107 (2022)

  15. On heat conduction in an irregular magnetic field: Part I
    P. Helander, S. R. Hudson & E. J. Paul
    J. Plasma Phys. 88, 905880122 (2022)

  16. Model for current drive induced crash cycles in W7-X
    K. Aleynikova, S.R. Hudson, P. Helander, A. Kumar, J. Geiger, M. Hirsch, J. Loizu, C. Nührenberg, K. Rahbarnia, Z. Qu, Y. Gao, H. Thomsen, Y. Turkin, M. Zanini and the W7-X Team
    Nucl. Fusion, 61, 126040 (2021)

  17. On the non-existence of stepped-pressure equilibria far from symmetry
    Z S Qu, S R Hudson, R L Dewar, J Loizu & M J Hole
    Plasma Phys. Control. Fusion 63, 125007 (2021)

  18. Computation of the Biot-Savart line integral with higher-order convergence using straight segments
    N. McGreivy, C. Zhu, L. M. Gunderson & S. R. Hudson
    Phys. Plasmas 28, 08211 (2021)

  19. Combined plasma-coil optimization algorithms
    S. A. Henneberg, S. R. Hudson, D. Pfefferlé, P. Helander
    J. Plasma Physics 87, 905870226 (2021)

  20. Predicting nonresonant pressure-driven MHD modes in equilibria with low magnetic shear
    A. M. Wright, N. M. Ferraro, S. R. Hudson, R. L. Dewar & M. J. Hole
    Phys. Plasmas 28, 012106 (2021)

  21. Computation of linear MHD instabilities with Multi-region Relaxed MHD energy principle
    A. Kumar, Z. Qu, M. J. Hole, A. M. Wright, J. Loizu, S. R. Hudson, A. Baillod, R. L. Dewar & N. M. Ferraro
    Plasma Phys. Control. Fusion 63, 045006 (2021)

  22. Optimized finite-build stellarator coils using automatic differentiation
    N. McGreivy, S. R. Hudson & C. Zhu
    Nucl. Fusion 61, 026020 (2021)

  23. Coordinate parametrization and spectral method optimisation for Beltrami field solver in stellarator geometry
    Z S Qu, D Pfefferlé, S R Hudson, A Baillod, A Kumar, R L Dewar & M J Hole
    Plasma Phys. Control. Fusion 62, 124004 (2020)

  24. Optimization of Finite-build Stellarator Coils
    Luquant Singh, T. G. Kruger, A. Bader, C. Zhu, S. R. Hudson & D. T. Anderson
    J. Plasma Phys., 86, 905860404, (2020)

  25. Direct prediction of nonlinear tearing mode saturation using a variational principle
    J. Loizu, Y.-M. Huang, S. R. Hudson, A. Baillod, A. Kumar & Z.S. Qu
    Phys. Plasmas 27, 070701 (2020)

  26. Free-boundary MRxMHD equilibrium calculations using the stepped-pressure equilibrium code
    S R Hudson, J Loizu, C Zhu, Z S Qu, C Nührenberg, S Lazerson, C B Smiet & M J Hole
    Plasma Phys. Control. Fusion 64, 084002 (2020)

  27. Bifurcations of the magnetic axis and the alternating-hyperbolic sawtooth
    C. Smiet, G. Kramer & S. R. Hudson
    Nucl. Fusion 60, 084005 (2020)

  28. Stepped pressure equilibrium with relaxed flow and applications in reversed-field pinch plasmas
    Z S Qu, R L Dewar, F Ebrahimi, J K Anderson, S R Hudson & M J Hole
    Plasma Phys. Control. F., 62, 054002 (2020)

  29. Mapping the sawtooth
    C. B. Smiet, G. J. Kramer & S. R. Hudson
    Plasma Phys. Control. F. 62, 025007 (2020)

  30. Identification of important error fields in stellarators using the Hessian matrix method
    Caoxiang Zhu, David A. Gates, Stuart R. Hudson, Haifeng Liu, Yuhong Xu, Akihiro Shimizu & Shoichi Okamura
    Nucl. Fusion 59, 126007 (2019)

  31. Resistive stability of cylindrical MHD equilibria with radially localized pressure gradients
    A. M. Wright, S. R. Hudson, R. L. Dewar & M. J. Hole
    Phys. Plasmas 26, 062117 (2019)

  32. Multi-region relaxed magnetohydrodynamic stability of a current sheet
    J. Loizu & S. R. Hudson
    Phys. Plasmas 26, 030702 (2019)

  33. Stellarator Research Opportunities: A Report of the National Stellarator Coordinating Committee
    David A. Gates, David Anderson, S. Anderson, M. Zarnstorff, Donald A. Spong, Harold Weitzner, G. H. Neilson, D. Ruzic, D. Andruczyk, J. H. Harris, H. Mynick, C. C. Hegna, O. Schmitz, J. N. Talmadge, D. Curreli, D. Maurer, A. H. Boozer, S. Knowlton, J. P. Allain, D. Ennis, G. Wurden, A. Reiman, J. D. Lore, Matt Landreman, J. P. Freidberg, S. R. Hudson, M. Porkolab, D. Demers, J. Terry, E. Edlund, S. A. Lazerson, N. Pablant, R. Fonck, F. Volpe, J. Canik, R. Granetz, A. Ware, J. D. Hanson, S. Kumar, C. Deng, K. Likin, A. Cerfon, A. Ram, A. Hassam, S. Prager, C. Paz-Soldan, M. J. Pueschel, I. Joseph & A. H. Glasser
    J. Fusion Energ. 37, 51 (2018)

  34. Differentiating the shape of stellarator coils with respect to the plasma boundary
    S.R.Hudson, C.Zhu, D.Pfefferlé & L.Gunderson
    Phys. Lett. A, 382, 2732 (2018)

  35. Non-planar elasticae as optimal curves for the magnetic axis of stellarators
    D. Pfefferlé, L. Gunderson, S. R. Hudson & L. Noakes
    Phys. Plasmas 25, 092508 (2018)

  36. Hessian matrix approach for determining coil sensitivities
    Caoxiang Zhu, Stuart R Hudson, Samuel A Lazerson, Yuntao Song & Yuanxi Wan
    Plasma Phys. Control. Fusion, 60, 054016 (2018)

  37. Designing stellarator coils by a modified Newton method using FOCUS
    Caoxiang Zhu, Stuart R Hudson, Yuntao Song & Yuanxi Wan
    Plasma Phys. Control. Fusion, 60 065008 (2018)

  38. Gyrokinetic magnetohydrodyamics and the associated equilibrium
    W.W. Lee, S. R. Hudson & C.H. Ma
    Phys. Plasmas 24, 124508 (2017)

  39. New method to design stellarator coils without the winding surface
    Caoxiang Zhu, Stuart R. Hudson, Yuntao Song & Yuanxi Wan
    Nucl. Fusion 58, 016008 (2017), Erratum, Nucl. Fusion 60, 089601 (2020)

  40. Theory and discretization of ideal magnetohydrodynamic equilibria with fractal pressure profiles
    B. Kraus & S. R. Hudson
    Phys. Plasmas 24, 092519 (2017)

  41. Equilibrium β-limits in classical stellarators
    J. Loizu, S. R. Hudson,C. Nührenberg, J. Geiger & P. Helander
    J. Plasma Phys. 83, 715830601 (2017)

  42. Three-dimensional magnetohydrodynamic equilibria with continuous magnetic fields
    S. R. Hudson & B. Kraus
    J. Plasma Phys. 83, 715830403 (2017)

  43. Multi-region relaxed magnetohydrodynamics in plasmas with slowly changing boundaries --- resonant response of a plasma slab
    R. L. Dewar, S. R. Hudson, A. Bhattacharjee & Z. Yoshida
    Phys. Plasmas 24, 042507 (2017)

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

  45. Multi-region relaxed Hall magnetohydrodynamics with flow
    Manasvi Lingam, Hamdi M. Abdelhamid & Stuart R. Hudson.
    Phys. Plasmas 23, 082103 (2016)

  46. Impact of magnetic topology on radial electric field profile and comparisons with models of edge transport in the Large Helical Device
    Y. Suzuki, K. Ida et al.
    Nucl. Fusion, 56, 092002 (2016)

  47. Pressure-driven amplification and penetration of resonant magnetic perturbations
    J. Loizu, S. R. Hudson et al.
    Phys. Plasmas 23, 055703 (2016)

  48. Verification of the ideal magnetohydrodynamic response at rational surfaces in the VMEC code
    S. Lazerson, J. Loizu et al.
    Phys. Plasmas 23, 012507 (2016)

  49. Variational formulation of relaxed and multi-region relaxed magnetohydrodynamics
    R.L. Dewar, Z. Yoshida et al.
    J. Plasma Phys. 81, 515810604 (2015)

  50. Existence of three-dimensional ideal-MHD equilibria with current sheets
    J. Loizu, S. R. Hudson et al.
    Phys. Plasmas 22, 090704 (2015)

  51. Magnetic islands and singular currents at rational surfaces in three-dimensional MHD equilibria
    J. Loizu, S. Hudson et al.
    Phys. Plasmas 22, 022501 (2015)

  52. Chaotic coordinates for the Large Helical Device
    S. R. Hudson & Y. Suzuki
    Phys. Plasmas 21, 102505 (2014)

  53. Modeling the Single-Helical Axis State in the Reversed-Field Pinch
    G.R. Dennis, S. R. Hudson & M.J. Hole
    IEEE Trans. Plasma Sci. 42, 2514 (2014)

  54. Multi-region relaxed magnetohydrodynamics with anisotropy and flow
    G.R. Dennis, S. R. Hudson et al.
    Phys. Plasmas 21, 072512 (2014)

  55. Multi-region relaxed magnetohydrodynamics with flow
    G.R. Dennis, S. R. Hudson et al.
    Phys. Plasmas 21, 042501 (2014)

  56. A new class of magnetic confinement device in the shape of a knot
    S. R. Hudson, E. Startsev & E. Feibush
    Phys. Plasmas 21, 010705 (2014)

  57. A comment on the iterative approach for computing MHD equilibria with pressure-gradients in chaotic fields, and a proposed regularized approach
    S. R. Hudson
    unpublished (2014)

  58. Minimally constrained model of self-organized helical states in reversed-field pinches
    G.R. Dennis, S. R. Hudson et al.
    Phys. Rev. Lett. 111, 055003 (2013)

  59. The infinite interface limit of multiple-region relaxed magnetohydrodynamics
    G.R. Dennis, S. R. Hudson et al.
    Phys. Plasmas 20, 032509 (2013)

  60. Generalized action-angle coordinates defined on island chains
    R.L. Dewar, S. R. Hudson & A.M. Gibson
    Plasma Phys. Cont. Fusion 55, 014004 (2013)

  61. Computation of multi-region relaxed magnetohydrodynamic equilibria
    S. R. Hudson, R.L. Dewar et al.
    Phys. Plasmas 19, 112502 (2012)

  62. Action-gradient-minimizing pseudo-orbits and almost-invariant tori
    R.L. Dewar, S. R. Hudson & A.M. Gibson
    Commun. Nonlinear Sci. Numer. Simul. 17, 2062 (2012)

  63. Non-axisymmetric, multi-region relaxed magnetohydrodynamic equilibrium solutions
    S. R. Hudson, R.L. Dewar et al.
    Plasma Phys. Cont. Fusion 54, 014005 (2012)

  64. A regularized approach for solving magnetic differential equations and a revised iterative algorithm
    S. R. Hudson
    Phys. Plasmas 17, 114501 (2010)

  65. Hamilton-Jacobi theory for continuation of magnetic field across a toroidal surface supporting a plasma pressure discontinuity
    M.McGann, S. R. Hudson et al.
    Phys. Lett. A 374, 3308 (2010)

  66. Pressure, chaotic magnetic fields, and magnetohydrodynamic equilibria
    S. R. Hudson & N. Nakajima
    Phys. Plasmas 17, 052511 (2010)

  67. Unified theory of Ghost and Quadratic-Flux-Minimizing Surfaces
    Robert L.Dewar, Stuart R.Hudson & Ashley M.Gibson
    J. Plasma Fusion Res. SERIES 9, 487 (2010)

  68. Are ghost surfaces quadratic-flux-minimizing?
    S. R. Hudson & R.L. Dewar
    Phys. Lett. A 373, 4409 (2009)

  69. Magnetic surface quality in nonaxisymmetric plasma equilibria
    C.Nührenberg, A.H. Boozer & S. R. Hudson,
    Phys. Rev. Lett. 102, 235001 2009

  70. Relaxed MHD states of a multiple region plasma
    M.J. Hole, R. Mills et al.
    Nucl. Fusion 49, 065019 (2009)

  71. An expression for the temperature gradient in chaotic fields
    S. R. Hudson
    Phys. Plasmas 16, 010701 (2009)

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

  73. Temperature contours and ghost-surfaces for chaotic magnetic fields
    S. R. Hudson & J. Breslau
    Phys. Rev. Lett. 100, 095001 (2008)

  74. Steady state solutions to the advection-diffusion equation, and ghost coordinates, for a chaotic flow
    S. R. Hudson
    Phys. Rev. E 76, 046211 (2007)

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

  76. Equilibrium and flux surface issues in the design of NCSX
    A. Reiman, S. Hirshman et al.
    Fusion Sci. Technol. 51, 145 (2007)

  77. NCSX Magnetic configuration and robustness
    N. Pomphrey, A. Boozer et al.
    Fusion Sci. Technol. 51, 181 (2007)

  78. Eigenvalue problems for Beltrami fields arising in a three-dimensional toroidal magnetohydrodynamic equilibrium problem
    S. R. Hudson, M.J.Hole & R.L. Dewar
    Phys. Plasmas 14, 052505 (2007)

  79. Properties of ballooning modes in the planar axis heliotron configurations with a large Shafranov shift
    N. Nakajima, S. R. Hudson & C.C. Hegna
    Fusion Sci. Technol. 51, 79 (2007)

  80. Calculation of cantori for Hamiltonian flows
    S. R. Hudson
    Phys. Rev. E 74, 056203 (2006)

  81. Significance of MHD Effects in Stellarator Confinement
    A. Weller, S. Sakakibara et al.
    Fusion Sci. Technol. 50, 158 (2006)

  82. Stepped pressure profile equilibria in cylindrical plasmas via partial Taylor relaxation
    M.J. Hole, S. R. Hudson & R.L. Dewar
    J. Plasma Phys. 72, 1167 (2006), Corrigendum, J. Plasma Phys. 87, 175870203 (2021)

  83. Derivatives of the local ballooning growth rate with respect to surface label, field line label and ballooning parameter
    S. R. Hudson
    Phys. Plasmas 13, 042511 (2006)

  84. Boundary modulation effects on MHD instabilities in Heliotrons
    N. Nakajima, S. Hudson et al.
    Nucl. Fusion 46, 177 (2006)

  85. Effect of ambipolar plasma flow on the penetration of resonant magnetic perturbations in a quasi-axisymmetric stellarator
    A. Reiman, M. Zarnstorff et al.
    Nucl. Fusion 45, 360 (2005)

  86. Chaotic Particle Trajectories in High-Intensity Finite-Length Charge Bunches
    Stuart R. Hudson, Hong Qin & Ronald C. Davidson
    Nucl. Instrum. Meth. A 544, (2005) 458

  87. Influence of Pressure-Gradient and Shear on Ballooning Stability in Stellarators
    S. R. Hudson, C.C. Hegna & N. Nakajima
    Nucl. Fusion 45, 271 (2005)

  88. Criteria for second stability for ballooning modes in stellarators
    S. R. Hudson & C.C. Hegna
    Phys. Plasmas 11, L53 (2004)

  89. Marginal stability diagrams for infinite-n ballooning modes in quasi-symmetric stellarators
    S. R. Hudson, C.C. Hegna et al.
    Plasma Phys. Control. Fusion 46, 869 (2004)

  90. Simulation of a Discharge for the NCSX Stellarator
    E.A. Lazarus, M.C. Zarnstorff et al.
    Fusion Sci. Technol. 46, 209 (2004)

  91. Destruction of invariant surfaces and magnetic coordinates for perturbed magnetic fields
    S. R. Hudson
    Phys. Plasmas 11, 677 (2004)

  92. Marginal stability boundaries for infinite-n ballooning modes in a quasi-axisymmetric stellarator
    S. R. Hudson & C.C. Hegna
    Phys. Plasmas 10, 4716 (2003)

  93. Constructing integrable full-pressure full-current free-boundary stellarator magnetohydrodynamic equilibrium solutions
    S. R. Hudson, D.A. Monticello et al.
    Nucl. Fusion 43, 1040 (2003)

  94. Eliminating islands in high-pressure free-boundary stellarator magnetohydrodynamic equilibrium solutions
    S. R. Hudson, D.A. Monticello et al.
    Phys. Rev. Lett. 89, 275003-1 (2002)

  95. Free-boundary full-pressure island healing in a stellarator: coil-healing
    S. R. Hudson, A. Reiman et al.
    Plasma Phys. Cont. Fusion. 44, 1377 (2002)

  96. Ideal magnetohydrodynamic ballooning stability boundaries in three-dimensional equilibria
    C.C.Hegna & S. R. Hudson
    Phys. Plasmas 9, 2014 (2002)

  97. Physics of the compact advanced stellarator NCSX
    M.C. Zarnstorff, L.A. Berry et al.
    Plasma Phys. Cont. Fusion 43, 12A, A237 (2001).

  98. Loss of second-ballooning stability in three-dimensional equilibria
    C.C. Hegna & S. R. Hudson
    Phys. Rev. Lett. 87, 035001-1 (2001)   

  99. Reduction of islands in full-pressure stellarator equilibria
    S. R. Hudson, D.A. Monticello & A.H. Reiman
    Phys. Plasmas 8, 3377 (2001)

  100. Recent advances in the design of quasiaxisymmetric stellarator plasma configurations
    A. Reiman, L. Ku et al.
    Phys. Plasmas 8, 2083 (2001)

  101. Studies of spherical tori, stellarators, and anisotropic pressure with the M3D code
    L.E. Sugiyama, W. Park et al.
    Nucl. Fusion 41, 739 (2001)

  102. Ideal/resistive modes analysis in reversed shear configuration plasmas
    T. Tuda, Y. Ishii et al.
    Chinese Phys. Lett. ISSN 0256-307X, 83 (2000)

  103. Analysis of perturbed magnetic fields via construction of nearby integrable field
    S. R. Hudson & R.L. Dewar
    Phys. Plasmas 6, 1532 (1999)

  104. Construction of an integrable field close to any non-integrable toroidal magnetic field
    S. R. Hudson & R.L. Dewar
    Phys. Lett. A 247, 246 (1998)

  105. Recent experimental and analytic progress in the Japan Atomic Energy Research Institute
    Tokamak-60 Upgrade with W-shaped divertor configuration
    H. Shirai and the JT-60 Team
    Phys. Plasmas 5, 1712 (1998)

  106. Stellarator symmetry
    R.L. Dewar & S. R. Hudson
    Physica D 112, 275 (1998)

  107. Self Healing of Magnetic Islands in a Heliac
    S.S.Lloyd, H.J.Gardner et al.
    J. Plasma Fusion Res. SERIES 1, 484 (1998)

  108. Phase control of magnetic islands in a heliac vacuum field
    S. R. Hudson & R.L. Dewar
    J. Plasma Fusion Res. SERIES 1, 187 (1998)

  109. Manipulation of islands in a heliac vacuum field
    S. R. Hudson & R.L. Dewar
    Phys. Lett. A 226, 85 (1997)

  110. Almost-invariant surfaces for magnetic field-line flows
    S. R. Hudson & R.L. Dewar
    J. Plasma Phys. 56, 361 (1996)

  111. Quadratic Flux-Minimizing Surfaces for Toroidal Magnetic Fields
    S. R. Hudson & R.L. Dewar
    Proc. of 3rd Australia-Japan Workshop on Plasma Theory and Computation, Australia, 1995.

  112. Almost invariant manifolds for divergence free fields
    R.L. Dewar, S. R. Hudson & P. Price
    Phys. Lett. A 194, 49 (1994)