A Monte Carlo method for Coulomb collisions in hybrid plasma models. (English) Zbl 1132.76044
Summary: A procedure for implementing Coulomb collisions into hybrid (particle-fluid) plasma models is outlined which is rapid in execution due to the use of approximate expressions for collision integrals and conserves energy and momentum exactly. Particles undergo dynamic friction and diffusion in velocity-space at rates consistent with velocity-dependent Fokker-Planck diffusion coefficients, and there are no assumptions made about the shape or size of particle distribution function. The method is tested against the analytical theory of test particle slowing in a background plasma the thermal equilibration of Maxwellian distribution.
MSC:
| 76M35 | Stochastic analysis applied to problems in fluid mechanics |
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
References:
| [1] | Byers, J. A., Hybrid simulations of quasineutral phenomena in magnetized plasma, J. Comput. Phys., 27, 363 (1978) |
| [2] | Hewett, D. W., A global method of solving the electron-field equations in a zero-inertia-electron-hybrid plasma simulation code, J. Comput. Phys., 38, 378 (1980) · Zbl 0462.76107 |
| [3] | Davies, J. R.; Bell, A. R.; Haines, M. G., Short-pulse high-intensity laser-generated fast electron transport into thick solid targets, Phys. Rev. E, 56, 6 (1997) |
| [4] | Mason, R. J., Heating mechanisms in short-pulse laser-driven cone targets, Phys. Rev. Lett., 96, 035001 (2006) |
| [5] | Gargate, L., dHybrid: a massively parallel code for hybrid simulations of space plasmas, Comput. Phys. Commun., 176, 419 (2007) · Zbl 1196.76051 |
| [6] | Takizuka, T.; Abe, H., A binary collision model for plasma simulation with a particle code, J. Comput. Phys., 25, 205 (1977) · Zbl 0403.76091 |
| [7] | Miller, R. H.; Combi, M. R., A coulomb collision algorithm for weighted particle simulations, Geophys. Res. Lett., 21, 1735 (1994) |
| [8] | Nanbu, K., Theory of cumulative small-angle collisions in plasmas, Phys. Rev. E, 55, 4642 (1997) |
| [9] | Larson, D. J., A coulomb collision model for pic plasma simulation, J. Comput. Phys., 188, 123 (2003) · Zbl 1127.76349 |
| [10] | Cadjan, M. G.; Ivanov, M. F., Langevin approach to plasma kinetics with coulomb collisions, J. Plasma Phys., 61, 89 (1999) |
| [11] | Nakajima, N.; Wang, W. X.; Okamoto, M.; Murakami, S., Vector implementation of nonlinear Monte-Carlo coulomb collisions, J. Comput. Phys., 128, 209 (1996) · Zbl 0862.65091 |
| [12] | Jones, M. E., A grid-based coulomb collision model for pic codes, J. Comput. Phys., 123, 169 (1996) · Zbl 0840.76071 |
| [13] | Rambo, P. W.; Procassini, R. J., A comparison of kinetic and multi-fluid simulations of laser-produced colliding plasmas, Phys. Plasmas, 2, 3130 (1995) |
| [14] | Manheimer, W. M.; Lampe, M.; Joyce, G., Langevin representation of coulomb collisions in pic simulations, J. Comput. Phys., 138, 563 (1997) · Zbl 0902.76081 |
| [15] | Gillespie, D. T., Exact numerical simulation of the Ornstein-Uhlenbeck process and its integral, Phys. Rev. E, 54, 563 (1996) |
| [16] | Spitzer, L., The Physics of Fully Ionized Gases (1956), Interscience Publishers · Zbl 0074.45001 |
| [17] | Sherlock, M., Ion collisions and the \(z\)-pinch precursor column, Phys. Plasmas, 11, 1609 (2004) |
| [18] | Lebedev, S. V., Physics of wire array \(z\)-pinch implosions: experiments at imperial college, Plasma Phys. Control. Fusion, 47, A91 (2005) |
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.
