The Particle‐In‐Cell Method

This paper is the first in a series of three papers to summarize the recent work of an European‐wide collaborationwhich is ongoing since about one decade using Particle‐in‐Cell (PIC) methods in low temperature plasma physics. In the present first paper the main aspects of this computational technique will be presented. In the second paper, an overview of applications in low‐temperature plasma modelling will be given, whereas the third part will put emphasis on the specific results of modelling ion thrusters. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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

[2]  E. M. Lifshitz,et al.  Course in Theoretical Physics , 2013 .

[3]  R. Schneider,et al.  Modeling of a negative ion source. I. Gas kinetics and dynamics in the expansion region , 2007 .

[4]  David Tskhakaya,et al.  Optimization of PIC codes by improved memory management , 2007, J. Comput. Phys..

[5]  R. Schneider,et al.  Finite size effect of dust charging in the magnetized edge plasma , 2007 .

[6]  Francesco Taccogna,et al.  Negative ion production near a divertor plate , 2007 .

[7]  Yang Feng,et al.  Algorithms for accurate collection, ejection, and loading in particle simulations , 2007, J. Comput. Phys..

[8]  S. Longo Monte Carlo simulation of charged species kinetics in weakly ionized gases , 2006 .

[9]  T. Takizuka,et al.  Two‐Dimensional Simulation Study on Charging of Dust Particle on Plasma‐FacingWall , 2006 .

[10]  R. Thacker,et al.  A parallel adaptive P3M code with hierarchical particle reordering , 2005, Comput. Phys. Commun..

[11]  Francesco Taccogna,et al.  Plasma sheaths in Hall discharge , 2005 .

[12]  D. Tskhakaya,et al.  Kinetic (PIC) simulations of the magnetized plasma–wall transition , 2005 .

[13]  John P. Verboncoeur,et al.  A treecode algorithm for simulating electron dynamics in a Penning-Malmberg trap , 2004, Comput. Phys. Commun..

[14]  Viktor K. Decyk,et al.  UCLA Parallel PIC Framework , 2004, Comput. Phys. Commun..

[15]  W. Goedheer,et al.  Hydrodynamic and Kinetic Modelling of Dust Free and Dusty Radio‐Frequency Discharges , 2004 .

[16]  R. Krasny,et al.  Efficient particle Simulation of a virtual cathode using a grid-free treecode Poisson solver , 2004, IEEE Transactions on Plasma Science.

[17]  A. Sagara,et al.  Dusty Sheaths in Magnetized Plasmas , 2004 .

[18]  Francesco Taccogna,et al.  Effects of secondary electron emission from a floating surface on the plasma sheath , 2004 .

[19]  Francesco Taccogna,et al.  Plasma-surface interaction model with secondary electron emission effects , 2004 .

[20]  T. Takizuka,et al.  Particle Simulation Study of Dust Particle Dynamics in Sheaths , 2003 .

[21]  Dennis W. Hewett,et al.  Fragmentation, merging, and internal dynamics for PIC simulation with finite size particles , 2003 .

[22]  Ian H. Hutchinson,et al.  Ion collection by a sphere in a flowing plasma: 2. non-zero Debye length , 2003 .

[23]  Ralf Schneider,et al.  Modeling of hydrocarbon species in ECR methane plasmas , 2003 .

[24]  S. Takamura,et al.  Dusty sheaths in plasmas , 2003 .

[25]  David Tskhakaya,et al.  Effect of E × B Drift on the Plasma Flow at the Magnetic Presheath Entrance , 2002 .

[26]  John P. Verboncoeur,et al.  Symmetric spline weighting for charge and current density in particle simulation , 2001 .

[27]  Abdullah Al Mamun,et al.  Introduction to Dusty Plasma Physics , 2001 .

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

[29]  John P. Verboncoeur,et al.  Loading and injection of Maxwellian distributions in particle simulations , 2000 .

[30]  Charles K. Birdsall,et al.  Physical and numerical methods of speeding up particle codes and paralleling as applied to RF discharges , 2000 .

[31]  G. E. Sasser,et al.  3-D ICEPIC simulations of the relativistic klystron oscillator , 2000 .

[32]  K. Nanbu,et al.  Probability theory of electron-molecule, ion-molecule, molecule-molecule, and Coulomb collisions for particle modeling of materials processing plasmas and cases , 2000 .

[33]  Jeffrey N. Brooks,et al.  Sheath superheat transmission due to redeposition of thermally emitted material , 2000 .

[34]  Nanbu,et al.  Theory of collision algorithms for gases and plasmas based on the boltzmann equation and the landau-fokker-planck equation , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[35]  S. Kawamoto,et al.  Particle-in-cell plus direct simulation Monte Carlo (PIC-DSMC) approach for self-consistent plasma-gas simulations , 1999 .

[36]  F. Pearce,et al.  A new parallel PM3 code for very large-scale cosmological simulations , 1998, astro-ph/9805096.

[37]  S. Pfalzner,et al.  Direct calculation of inverse-bremsstrahlung absorption in strongly coupled, nonlinearly driven laser plasmas , 1998 .

[38]  K. Nanbu,et al.  THEORY OF CUMULATIVE SMALL-ANGLE COLLISIONS IN PLASMAS , 1997 .

[39]  V. Vahedi,et al.  Simultaneous Potential and Circuit Solution for Two-Dimensional Bounded Plasma Simulation Codes , 1997 .

[40]  R. Cohen,et al.  Kinetic effects in tokamak scrape-off layer plasmas , 1996 .

[41]  W. X. Wang,et al.  Vector Implementation of Nonlinear Monte Carlo Coulomb Collisions , 1996 .

[42]  Paul Gibbon,et al.  Many-body tree methods in physics , 1996 .

[43]  Ronald H. Cohen,et al.  Kinetic effects on particle and heat fluxes in detached plasmas , 1996 .

[44]  W. Steckelmacher Molecular gas dynamics and the direct simulation of gas flows , 1996 .

[45]  Viktor K. Decyk,et al.  Optimization of particle-in-cell codes on reduced instruction set computer processors , 1996 .

[46]  Dennis W. Hewett,et al.  Correction factors for PIC accumulation on radial grids , 1995 .

[47]  D. E. Shumaker,et al.  Hybrid Ordered Particle Simulation (HOPS) code for plasma modelling on vector-serial, vector-parallel, and massively parallel computers , 1995 .

[48]  John P. Verboncoeur,et al.  An object-oriented electromagnetic PIC code , 1995 .

[49]  Maheswaran Surendra,et al.  A Monte Carlo collision model for the particle-in-cell method: applications to argon and oxygen discharges , 1995 .

[50]  Viktor K. Decyk,et al.  Skeleton PIC Codes for Parallel Computers , 1995 .

[51]  G. Bird Molecular Gas Dynamics and the Direct Simulation of Gas Flows , 1994 .

[52]  Wilhelmus M. Ruyten,et al.  Density-conserving shape factors for particle simulations in cylindrical and spherical coordinates , 1993 .

[53]  J. Allen,et al.  Probe theory - the orbital motion approach , 1992 .

[54]  Charles K. Birdsall,et al.  Particle-in-cell charged-particle simulations, plus Monte Carlo collisions with neutral atoms, PIC-MCC , 1991 .

[55]  John P. Verboncoeur,et al.  Simultaneous potential and circuit solution for 1D bounded plasma particle simulation codes , 1990 .

[56]  Piet Hut,et al.  A hierarchical O(N log N) force-calculation algorithm , 1986, Nature.

[57]  J. N. Leboeuf,et al.  Implicit particle simulation of magnetized plasmas , 1983 .

[58]  T. Takizuka,et al.  A binary collision model for plasma simulation with a particle code , 1977 .

[59]  P. Swarztrauber A direct Method for the Discrete Solution of Separable Elliptic Equations , 1974 .

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

[61]  H R Skullerud,et al.  The stochastic computer simulation of ion motion in a gas subjected to a constant electric field , 1968 .

[62]  John M. Dawson,et al.  One‐Dimensional Plasma Model , 1962 .

[63]  O. Buneman,et al.  Dissipation of Currents in Ionized Media , 1959 .

[64]  H. Hees,et al.  Statistical Physics , 2004 .

[65]  T. Fouquet,et al.  Conservative space-time mesh refinement methods for the FDTD solution of Maxwell's equations , 2006 .

[66]  R. Schneider,et al.  Kinetic modelling of dusty plasmas , 2005 .

[67]  Ian H. Hutchinson,et al.  Ion collection by a sphere in a flowing plasma: 3. Floating potential and drag force , 2004 .

[68]  S. Hu,et al.  Discrete Alfvén eigenmodes in high-β toroidal plasmas , 2004 .

[69]  William H. Press,et al.  Numerical recipes in C , 2002 .

[70]  A. Bergmann,et al.  Parallelized PIC Code for Kinetic Modelling of a “Classical” Scrape‐off Layer , 1998 .

[71]  D. Book,et al.  NRL (Naval Research Laboratory) Plasma Formulary. Revised. , 1983 .

[72]  John M. Dawson,et al.  One‐Dimensional Model of a Lorentz Plasma , 1967 .

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

[74]  Burton D. Fried,et al.  The Plasma Dispersion Function , 1961 .

[75]  Nrl Plasma Formulary , 2022 .