Development of implicit kinetic simulation methods, and their application to ion beam propagation in current and future neutralized drift compression experiments

[1]  R W Hockney,et al.  Computer Simulation Using Particles , 1966 .

[2]  Giovanni Lapenta,et al.  3D reconnection due to oblique modes: a simulation of Harris current sheets , 2000 .

[3]  J. Huba.  NRL: Plasma Formulary , 2004 .

[4]  Alexander S. Lipatov,et al.  The Hybrid Multiscale Simulation Technology: An Introduction with Application to Space and Plasma Physics , 2001 .

[5]  E. G. Harris.  On a plasma sheath separating regions of oppositely directed magnetic field , 1962 .

[6]  Paolo Ricci,et al.  A simplified implicit maxwell solver , 2002 .

[7]  Rizwan-uddin,et al.  Parsek2D: An Implicit Parallel Particle-in-Cell Code , 2009 .

[8]  K. F. Riley,et al.  Mathematical Methods for Physics and Engineering , 1998 .

[9]  J. Jackson,et al.  Longitudinal plasma oscillations , 1960 .

[10]  Martin Reiser,et al.  Theory and Design of Charged Particle Beams , 1994 .

[11]  D. A. Dunnett.  Classical Electrodynamics , 2020, Nature.

[12]  Editors , 1986, Brain Research Bulletin.

[13]  Michael Hesse,et al.  Geospace Environmental Modeling (GEM) magnetic reconnection challenge , 2001 .

[14]  Giovanni Lapenta.  Adaptive Multi-Dimensional Particle In Cell , 2008 .

[15]  M. Goldman,et al.  Strong turbulence of plasma waves , 1984 .

[16]  Carl de Boor,et al.  A Practical Guide to Splines , 1978, Applied Mathematical Sciences.

[17]  R. P. Wadhwa,et al.  Two-dimensional computer experiments on ion- beam neutralization , 1964 .

[18]  J. Dawson.  Particle simulation of plasmas , 1983 .

[19]  R. Sagdeev.  The 1976 Oppenheimer lectures: Critical problems in plasma astrophysics. I. Turbulence and nonlinear waves , 1979 .

[20]  J. Pain.  Plasma Physics , 1968, Nature.

[21]  Kevin J. Bowers,et al.  Accelerating a paricle -in-cell simulation using a hybrid counting sort , 2001 .

[22]  C. Olson,et al.  Two-stream studies for heavy ion beam propagation in a reactor chamber , 2003, Proceedings of the 2003 Particle Accelerator Conference.

[23]  Jeremiah Brackbill,et al.  Simulation of Low-Frequency, Electromagnetic Phenomena in Plasmas , 1985 .

[24]  D. A. Dunn,et al.  Computer experiments on ion-beam neutralization with initially cold electrons , 1963 .

[25]  G. P. Kooyers,et al.  COMPUTER SIMULATION OF THE ELECTRON MIXING MECHANISM IN ION PROPULSION , 1963 .

[26]  C. Birdsall,et al.  Plasma Physics via Computer Simulation , 2018 .

[27]  Bruce I. Cohen,et al.  Implicit time integration for plasma simulation , 1982 .

[28]  B. G. Logan,et al.  Ferroelectric plasma source for heavy ion beam space charge neutralization , 2007 .

[29]  P. D. Boer.  Measurements of Electron Density in the Charge Exchange Plasma of an Ion Thruster , 1997 .

[30]  N. A. Krall,et al.  Principles of Plasma Physics , 1973 .

[31]  C. Kelley.  Solving Nonlinear Equations with Newton's Method , 1987 .

[32]  R. Arnold.  Heavy-ion beam inertial-confinement fusion , 1978, Nature.

[33]  A. Maschke.  Relativistic Heavy Ions for Fusion Applications , 1975, IEEE Transactions on Nuclear Science.

[34]  D. C. Rapaport,et al.  The Art of Molecular Dynamics Simulation , 1997 .

[35]  Stefano Markidis,et al.  Implementation and performance of a particle‐in‐cell code written in Java , 2005, Concurr. Pract. Exp..

[36]  N. A. Krall.  What do we really know about collisionless shocks , 1997 .

[37]  Dana A. Knoll,et al.  A Multilevel Iterative Field Solver for Implicit, Kinetic, Plasma Simulation , 1999 .

[38]  A. Bruce Langdon.  Analysis of the time integration in plasma simulation , 1979 .

[39]  R. Sudan.  Neutralization of a propagating intense ion beam in vacuum , 1984 .

[40]  R. Davidson,et al.  Electromagnetic Weibel instability in intense charged particle beams with large energy anisotropy , 2003 .

[41]  D. Keyes,et al.  Jacobian-free Newton-Krylov methods: a survey of approaches and applications , 2004 .

[42]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[43]  A. Sefkow,et al.  Advanced numerical studies of the neutralized drift compression of intense ion beam pulses , 2007 .

[44]  E. Sonnendrücker,et al.  The Semi-Lagrangian Method for the Numerical Resolution of the Vlasov Equation , 1999 .

[45]  Bruce I. Cohen,et al.  Direct implicit large time-step particle simulation of plasmas , 1983 .

[46]  Parker,et al.  Numerical solution of the Boltzmann equation in cylindrical geometry. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[47]  Paolo Ricci,et al.  Kinetic approach to microscopic-macroscopic coupling in space and laboratory plasmas , 2006 .

[48]  J. Banavar,et al.  Computer Simulation of Liquids , 1988 .

[49]  C. Nielson,et al.  Particle-code models in the nonradiative limit , 1976 .

[50]  R. J. Mason,et al.  An electromagnetic field algorithm for 2d implicit plasma simulation , 1987 .

[51]  C. Kelley.  Iterative Methods for Linear and Nonlinear Equations , 1987 .

[52]  R. J. Mason,et al.  Implicit moment particle simulation of plasmas , 1981 .

[53]  E. Hairer,et al.  Geometric Numerical Integration , 2022, Oberwolfach Reports.

[54]  E. Lindman,et al.  DISPERSION RELATION FOR COMPUTER-SIMULATED PLASMAS. , 1970 .

[55]  R. C. Harding,et al.  SOLUTION OF VLASOV'S EQUATION BY TRANSFORM METHODS. , 1970 .

[56]  S. Humphries,et al.  One-dimensional ion-beam neutralization by cold electrons , 1981 .

[57]  B. G. Logan,et al.  Drift compression of an intense neutralized ion beam. , 2005, Physical review letters.

[58]  A. Hasegawa,et al.  Existence of a negative potential solitary‐wave structure and formation of a double layer , 1982 .

[59]  J. U. Brackbill,et al.  CELEST1D: an implicit, fully kinetic model for low-frequency, electromagnetic plasma simulation , 1992 .

[60]  R. Sydora,et al.  Low-noise electromagnetic and relativistic particle-in-cell plasma simulation models , 1999 .