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

  by year
  1. PUBLICATIONS

  2. figure

    Penetration of a resonant magnetic perturbation in an adiabatically rippled plasma slab
    Robert L. Dewar, Stuart R. Hudson et al.
    Phys. Plasmas submitted (2016)

  3. figure

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

  4. figure

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

  5. figure

    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, submitted (2016)

  6. figure

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

  7. figure

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

  8. figure

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

  9. figure

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

  10. figure

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

  11. square-islands

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

  12. helical axis

    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)

  13. multi-region

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

  14. multi-region

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

  15. knotatron

    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)

  16. 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)

  17. constraints

    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)

  18. infinitelimit

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

  19. text

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

  20. MRxMHD

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

  21. text

    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)

  22. text

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

  23. text

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

  24. text

    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)

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

  26. text

    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)

  27. pseudo

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

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

  29. text

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

  30. text

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

  31. text

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

  32. ghosts

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

  33. text

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

  34. text

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

  35. text

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

  36. text

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

  37. Beltrami

    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)

  38. text

    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)

  39. cantori

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

  40. text

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

  41. text

    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)

  42. 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)

  43. text

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

  44. 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)

  45. text

    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

  46. text

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

  47. text

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

  48. 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)

  49. text

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

  50. text

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

  51. text

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

  52. text

    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)

  53. healed

    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)

  54. text

    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)

  55. text

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

  56. text

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

  57. text

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

  58. text

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

  59. text

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

  60. text

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

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

  62. text

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

  63. text

    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)

  64. text

    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)

  65. text

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

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

  67. text

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

  68. text

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

  69. text

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

  70. text

    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.

  71. text

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