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Transport Theory and Statistical Physics Volume 25, 1996 - Issue 6
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Original Articles

Transport coefficients of plasmas and disparate mass binary gases

Pierre Degond Mathématiques pour l'Industrie et la Physique, UMR CNRS 9974, UFR MIG, Université Paul Sabatier, 118, route de Narbonne, 31062, Toulouse, Cedex, France
&
Brigitte Lucquin-Desreux Laboratoire d'Analyse Numérique, URA CNRS 189, Université Pierre et Marie Curie, tour 55-65, 5 ème étage, 4 Place Jussieu, 75 252, Paris, cedex 05, France
Pages 595-633 | Received 20 Oct 1995, Accepted 06 May 1996, Published online: 20 Aug 2006

Citations (36)

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P. Degond, A. Nouri & C. Schmeiser. (2000) Macroscopic models for ionization in the presence of strong electric fields. Transport Theory and Statistical Physics 29:3-5, pages 551-561.
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Articles from other publishers (35)

Patrick Flynn & Yan Guo. (2024) The Massless Electron Limit of the Vlasov–Poisson–Landau System. Communications in Mathematical Physics 405:2.
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O. Michel, R. Duclous, P.-E. Masson-Laborde, C. Enaux & P. Lafitte. (2023) A nonlocal electron transport model in the diffusion scaling of hydrodynamics. Physics of Plasmas 30:2.
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Liu Liu. (2019) A stochastic asymptotic-preserving scheme for the bipolar semiconductor Boltzmann-Poisson system with random inputs and diffusive scalings. Journal of Computational Physics 376, pages 634-659.
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Claude Bardos, François Golse, Toan T. Nguyen & Rémi Sentis. (2018) The Maxwell–Boltzmann approximation for ion kinetic modeling. Physica D: Nonlinear Phenomena 376-377, pages 94-107.
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D. Aregba–Driollet, J. Breil, S. Brull, B. Dubroca & E. Estibals. (2018) Modelling and numerical approximation for the nonconservative bitemperature Euler model. ESAIM: Mathematical Modelling and Numerical Analysis 52:4, pages 1353-1383.
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Jean-Maxime Orlac’h, Vincent Giovangigli, Tatiana Novikova & Pere Roca i Cabarrocas. (2018) Kinetic theory of two-temperature polyatomic plasmas. Physica A: Statistical Mechanics and its Applications 494, pages 503-546.
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Claudia Negulescu. (2018) Kinetic Modelling of Strongly Magnetized Tokamak Plasmas with Mass Disparate Particles. The Electron Boltzmann Relation. Multiscale Modeling & Simulation 16:4, pages 1732-1755.
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Renjun Duan & Shuangqian Liu. (2017) The Vlasov–Poisson–Boltzmann System for a Disparate Mass Binary Mixture. Journal of Statistical Physics 169:3, pages 614-684.
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Maxime Herda. (2016) On massless electron limit for a multispecies kinetic system with external magnetic field. Journal of Differential Equations 260:11, pages 7861-7891.
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Claudia Negulescu & Stefan Possanner. (2016) Closure of the Strongly Magnetized Electron Fluid Equations in the Adiabatic Regime. Multiscale Modeling & Simulation 14:2, pages 839-873.
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E Bringuier. (2013) The Maxwell–Stefan description of binary diffusion. European Journal of Physics 34:5, pages 1103-1126.
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Shi Jin & Qin Li. (2012) A BGK‐penalization‐based asymptotic‐preserving scheme for the multispecies Boltzmann equation. Numerical Methods for Partial Differential Equations 29:3, pages 1056-1080.
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Marion Acheritogaray, Pierre Degond, Amic Frouvelle & Jian-Guo Liu. (2011) Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system. Kinetic & Related Models 4:4, pages 901-918.
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Isabelle Choquet & Brigitte Lucquin-Desreux. (2011) Non equilibrium ionization in magnetized two-temperature thermal plasma. Kinetic & Related Models 4:3, pages 669-700.
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Mihai Bostan & Claudia Negulescu. (2011) Mathematical models for strongly magnetized plasmas with mass disparate particles. Discrete & Continuous Dynamical Systems - B 15:3, pages 513-544.
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Vincent Giovangigli. (2010) Multicomponent transport algorithms for partially ionized mixtures. Journal of Computational Physics 229:11, pages 4117-4142.
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Frédérique Charles & Laurent Desvillettes. (2009) Small Mass Ratio Limit of Boltzmann Equations in the Context of the Study of Evolution of Dust Particles in a Rarefied Atmosphere. Journal of Statistical Physics 137:3, pages 539-567.
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BENJAMIN GRAILLE, THIERRY E. MAGIN & MARC MASSOT. (2011) KINETIC THEORY OF PLASMAS: TRANSLATIONAL ENERGY. Mathematical Models and Methods in Applied Sciences 19:04, pages 527-599.
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Isabelle Choquet, Pierre Degond & Brigitte Lucquin-Desreux. (2009) A strong ionization model in plasma physics. Mathematical and Computer Modelling 49:1-2, pages 88-113.
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Thierry Magin, Benjamin Graille & Marc Massot. (2008) Kinetic Theory of Plasmas. Kinetic Theory of Plasmas.
Pierre Crispel, Pierre Degond & Marie-Hélène Vignal. (2007) An asymptotic preserving scheme for the two-fluid Euler–Poisson model in the quasineutral limit. Journal of Computational Physics 223:1, pages 208-234.
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Pierre Degond. 2007. Material Substructures in Complex Bodies. Material Substructures in Complex Bodies 1 62 .
M. Bisi & L. Desvillettes. (2006) From Reactive Boltzmann Equations to Reaction–Diffusion Systems. Journal of Statistical Physics 124:2-4, pages 881-912.
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B. Bottin, D. Vanden Abeele, Th.E. Magin & P. Rini. (2006) Transport properties of collision-dominated dilute perfect gas mixtures at low pressures and high temperatures. Progress in Aerospace Sciences 42:1, pages 38-83.
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L. M. De. Socio & N. Ianiro. (2005) A Kinetic Approach to the Plane Poiseuille Flow Over a Porous Matrix. Transport in Porous Media 61:3, pages 275-289.
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Isabelle Choquet & Brigitte Lucquin-Desreux. (2005) Hydrodynamic Limit for an Arc Discharge at Atmospheric Pressure. Journal of Statistical Physics 119:1-2, pages 197-239.
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Thierry E. Magin & Gérard Degrez. (2004) Transport properties of partially ionized and unmagnetized plasmas. Physical Review E 70:4.
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Thierry E. Magin & Gérard Degrez. (2004) Transport algorithms for partially ionized and unmagnetized plasmas. Journal of Computational Physics 198:2, pages 424-449.
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Pierre Degond. 2004. Modeling and Computational Methods for Kinetic Equations. Modeling and Computational Methods for Kinetic Equations 3 57 .
Fabrice Deluzet. (2003) Mathematical modeling of plasma opening switches. Computer Physics Communications 152:1, pages 34-54.
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K. Aoki & P. Degond. (2003) Homogenization of a Flow in a Periodic Channel of Small Section. Multiscale Modeling & Simulation 1:2, pages 304-334.
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N. Ben Abdallah, P. Degond, F. Deluzet, V. Latocha, R. Talaalout & M. H. Vignal. 2003. Hyperbolic Problems: Theory, Numerics, Applications. Hyperbolic Problems: Theory, Numerics, Applications 3 17 .
Christian Schmeiser. (1999) Macroscopic Models for Almost Elastic Nonlinear Electron-Phonon Interaction in Semiconductors. SIAM Journal on Applied Mathematics 60:1, pages 109-120.
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Christophe Buet, Stéphane Dellacherie & Rémi Sentis. (1998) Résolution numérique d'une équation de Fokker-Planck ionique avec température électronique. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 327:1, pages 93-98.
Crossref
N. Ben Abdallah, P. Degond & S. Genieys. (1996) An energy-transport model for semiconductors derived from the Boltzmann equation. Journal of Statistical Physics 84:1-2, pages 205-231.
Crossref

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