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Original Articles

Particle Transport in Stochastic Media With Multivariate Gamma Statistics: Analytical Results With Application to Atoms in Tokamaks

, , , , , , & show all
Pages 71-79 | Published online: 17 Aug 2012

REFERENCES

  • Fichtl , E. D. and Prinja , A. K. 2011 . The stochastic collaboration method for radiation transport in random media . J. Quant. Spectrosc. Radiat. Transfer , 112 ( 14 ) : 646
  • Graves , J. P. , Horacek , J. , Pitts , R. A. and Hopcraft , K. I. 2005 . Self-similar density turbulence in the TCV tokamek scrape-off layer . Plasma Phys. Control. Fusion , L1 : 47
  • Grenander , U. and Szegö , G. 1958 . Berkeley: Univ. of Calif . Toeplitz Forms and Their Applications Press ,
  • Jensen , D. R. 1970 . The joint distribution of traces of Wishart matrices and some applications . The Annals of Mathematical Statistics , 41 ( 1 ) : 133
  • Krishnamoorthy , A. S. and Parthasarathy , M. 1951 . A multivariate Gamma-type distribution. The Annals of Mathematical Statistics Vol. 22, 4 , 549
  • Laporte , P. 1996 . Modélisation et Analyse du Transport des particules dans un Plasma de Tokamak , PhD thesis (in French), Université de la Méditerranée (Aix-Marseille II) .
  • Leipnik , R. B. 1991 . On log-normal random variables: I-the characteristic function . J. Austral. Math. Soc. Ser. B , 32 : 327
  • Marandet , Y. , Mekkaoui , A. , Reiter , D. , Boerner , P. , Genesio , P. , Rosato , J. and Capes , H. 2011 . Effects of turbulent fluctuations with prescribed statistics on passive neutral particle transport in plasmas . Plasma Phys. Control. Fusion , 53 : 065001
  • Marandet , Y. , Mekkaoui , A. , Reiter , D. , Boerner , P. , Genesio , P. , Catoire , F. and Rosato , J. 2011 . Transport of neutral particles in turbulent scrape-off layer plasmas . Nucl. Fusion , 51 : 083035
  • Mathai , A. M. and Moschopoulos , P. G. 1991 . On a multivariate gamma . Journal of Multivariate Analysis , 39 ( 1 ) : 135
  • Mekkaoui , A. , Marandet , Y. , Rosato , J. , Capes , H. , Stamm , R. , Koubiti , M. and Reiter , D. 2012 . Transport of Neutrals in Scrape-off layer plasmas: autoregressive beta process to describe plasma density and temperature fluctuations . Contrib. Plasma Phys. , 52 ( 5-6 ) : 445
  • Mekkaoui , A. , Marandet , Y. , Reiter , D. , Genesio , P. , Rosato , J. , Capes , H. and Catoire , F. 2011 . Transport of neutrals in turbulent scrape-off layer plasmas . J. Nucl. Mater. , 415 ( 1 ) : S609
  • Pomraning , G. C. 1991 . Linear Kinetic Theory and Particle Transport in Stochastic mixtures. , London: World Scientific Publishing .
  • Prinja , A. K. 1993 . Proc. U.S. Edge Plasma Physics: Theory and Application Workshop Vol. April , 26 – 28 . Albuquerque , New Mexico
  • Prinja , A. K. and Gonzalez-Aller , A. 1996 . Particle transport in the presence of parametric noise . Nucl. Sci. Eng. , 124 : 89
  • Rehker , S. and Wobig , H. 1973 . A kinetic model for the neutral gas between plasma and wall . Plasma Phys , 15 : 1083
  • Reiter , D. , Baelmans , M. and Boerner , P. 2005 . The EIRENE and B2-EIRENE codes . Fusion Sci. Technol. , 47 : 172

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