Quiet direct simulation of coulomb collisions

IEEE Transactions on Plasma Science

Volumn 31, Issue 1 I, 2003, Pages 19-24

  Albright, Brian J ^a   Winske, Dan ^a   Lemons, Don S ^a   Daughton, William ^a   Jones, Michael E ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Coulomb collisions; Monte Carlo; Particle in cell (PIC) simulation

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; COULOMB BLOCKADE; DIFFUSION; KINETIC THEORY; MAGNETOHYDRODYNAMICS; MAXWELL EQUATIONS; MONTE CARLO METHODS; PARTICLE BEAM DYNAMICS; RANDOM PROCESSES;

COULOMB COLLISIONS;

PLASMA COLLISION PROCESSES;

EID: 0037311589     PISSN: 00933813     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPS.2003.808886     Document Type: Conference Paper

References (23)

1. M. Abromowitz and I. A. Stegun, Handbook of Mathematical Functions. Washington, DC: U.S. Dept. of Commerce, 1972, p. 924.
2. B. J. Albright, D. S. Lemons, M. E. Jones, and D. Winske, "Quiet direct simulation of Eulerian fluids," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 65, pp. 1-4, 2002.
3. B. J. Albright, W. Daughton, D. S. Lemons, D. Winske, and M. E. Jones, "Quiet direct simulation of plasmas," Phys. Plasmas, vol. 9, pp. 1898-1904, 2002.
4. G. A. Bird, "Direct simulation of the Boltzmann equation," Phys. Fluids, vol. 13, p. 2676, 1970.
5. C. K. Birdsall, "Particle-in-cell charged-particle simulations, plus Monte Carlo collisions with neutral atoms, PIC-MCC," IEEE Trans. Plasma Sci., vol. 19, pp. 65-85, Feb. 1991.
6. P. Burger, "Elastic collisions in simulating one-dimensional plasma diodes on the computer," Phys. Fluids, vol. 10, p. 658, 1967.
7. S. Chandrasekhar, "Stochastic problems in physics and astronomy," Rev. Mod. Phys., vol. 15, pp. 1-89, 1943.
8. C. W. Gardiner, Handbook of Stochastic Methods, 2nd ed. New York: Springer-Verlag, 1985, pp. 92-101.
9. R. W. Hockney and J. W. Eastwood, Computer Simulation Using Particles. Philadelphia, PA: Adam Hilger, 1988, pp. 145-146.
10. P. E. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equations. New York: Springer-Verlag, 1991.
11. M. E. Jones, D. S. Lemons, R. J. Mason, V. A. Thomas, and D. Winske, "A grid-based Coulomb collision model for PIC codes," J. Comput. Phys., vol. 123, pp. 169-181, 1996.
12. D. S. Lemons, J. Lackman, M. E. Jones, and D. Winske, "Noise-induced instability in self-consistent Monte Carlo calculations," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 52, pp. 6855-6861, 1995.
13. D. S. Lemons and B. J. Albright, "Quiet Monte Carlo radiation transport," J. Quant. Spectrosc. Radiat. Transfer, vol. 74, pp. 719-729, 2002.
14. D. S. Lemons, An Introduction to Stochastic Processes in Physics. Baltimore, MD: Johns Hopkins Univ. Press, 2002, pp. 53-59.
15. S. Ma, R. D. Sydora, and J. M. Dawson, "Binary collision model in gyrokinetic simulation plasmas," Comput. Phys. Commun., vol. 77, pp. 190-206, 1993.
16. W. M. Manheimer, M. Lampe, and G. Joyce, "Langevin representation of Coulomb collisions in PIC simulations," J. Comput. Phys., vol. 138, pp. 563-584, 1997.
17. G. N. Mil'shtein, "Approximate integration of stochastic differential equations," Theory Probab. Appl., vol. 19, pp. 557-562, 1974.
18. T. A. Oliphant and C. W. Neilson, "Simulation of binary collision processes in plasmas," Phys. Fluids, vol. 13, p. 2103, 1970.
19. D. I. Pullin, "Direct simulation method for compressible inviscid ideal-gas flow," J. Comput Phys., vol. 34, pp, 231-244, 1980.
20. M. N. Rosenbluth, W. M. MacDonald, and D. L. Judd, "Fokker-Planck equation for an inverse-square force," Phys. Rev., vol. 107, pp. 1-6, 1957.
21. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1992, pp. 153-154.
22. R. Shanny, J. M. Dawson, and J. M. Greene, "One-dimensional model of a Lorentz plasma." Phys. Fluids, vol. 10, p. 1281, 1967.
23. T. Takizuka and H. Abe, "A binary collision model for plasma simulation with a particle code," J. Comput. Phys., vol. 25, pp. 205-219, 1977.