Sentoku, Y.; Kemp, A. J. Numerical methods for particle simulations at extreme densities and temperatures: Weighted particles, relativistic collisions and reduced currents. (English) Zbl 1141.82323 J. Comput. Phys. 227, No. 14, 6846-6861 (2008). Summary: We present a fully relativistic energy-conserving binary collision model for particle simulations with large density scale plasmas. Our model deals with collisions between weighted particles of arbitrary species, conserving energy perfectly in each collision while momentum is conserved on the average. We also discuss a new method to model extremely high densities, applicable to a wide range of plasmas from the cold, non-relativistic to the ultra-relativistic regime in the high energy density physics. Cited in 8 Documents MSC: 82C22 Interacting particle systems in time-dependent statistical mechanics 82D10 Statistical mechanics of plasmas Keywords:PIC; binary collision; weighted particles PDFBibTeX XMLCite \textit{Y. Sentoku} and \textit{A. J. Kemp}, J. Comput. Phys. 227, No. 14, 6846--6861 (2008; Zbl 1141.82323) Full Text: DOI References: [1] Tabak, M., Phys. Plasmas, 1, 1626 (1994) [2] Shanny, R.; Dawson, J.; Greene, J. M., Phys. Fluids, 10, 6, 1281 (1967) [3] Takizuka, T.; Abe, H., J. Comput. Phys., 25, 205 (1977) [4] Sentoku, Y.; Mima, K.; Kishimoto, Y.; Honda, M., J. Phys. Soc. Jpn., 67, 4084 (1998) [5] Miller, R. H.; Combi, M. R., Geophys. Res. Lett., 21, 1735 (1994) [6] Nanbu, K.; Yonemura, S., J. Comput. Phys., 145, 639 (1998) [7] Birdsall, C. K.; Langdon, A. B., Plasma Physics via Computer Simulation (1995), Institute of Physics: Institute of Physics London [8] Jackson, J. D., Classical Electrodynamics (1975), John Wiley and Sons: John Wiley and Sons New York · Zbl 0114.42903 [9] Lifshitz, E. M.; Pitaevskii, L. P., Physical Kinetics (1981), Pergamon Press: Pergamon Press Oxford, (Chapter 4) [10] Spitzer, L., Physics of Fully Ionized Gases (1956), Interscience: Interscience New York, (Chapter 5) · Zbl 0074.45001 [11] Lampe, M., Phys. Fluids, 13, 2578 (1970) [12] Lee, Y. T.; More, R. M., Phys. Fluids, 27, 1273 (1984) [13] Birdsall, C. K.; Langdon, A. B., Plasma Physics via Computer Simulation (1991), Institute of Physics Publishing: Institute of Physics Publishing Bristol/Philadelphia, (Chapter 4) [14] Kemp, A. J.; Sentoku, Y.; Sotnikov, V.; Wilks, S. C., Phys. Rev. Lett., 97, 235001 (2006) [15] Johzaki, T.; Mima, K.; Nakano, Y.; Yokota, T.; Sumita, H., Fusion Sci. Technol., 43, 428 (2003) [16] Esirkepov, T. Z., Comput. Phys. Commun., 135, 14 (2001) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.