The linear Boltzmann equation in optically thick systems with forward-peaked scattering

Progress in Nuclear Energy

Volumn 34, Issue 4, 1999, Pages 413-423

  Larsen, Edward W ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; LINEAR EQUATIONS; MATHEMATICAL OPERATORS; QUANTUM THEORY; STATISTICAL MECHANICS;

BOLTZMANN EQUATION; DIFFERENTIAL SCATTERING KERNELS; FOKKER-PLANCK OPERATOR; HENYEY-GREENSTEIN KERNEL; OPTICALLY THICK SYSTEMS; PSEUDODIFFERENTIAL OPERATORS; SCREENED RUTHERFORD KERNELS;

NUCLEAR PHYSICS;

EID: 0032667540     PISSN: 01491970     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0149-1970(98)00020-1     Document Type: Article

References (14)

1. Chandrasekhar S. (1943) "Stochastic Problems in Physics and Astronomy," Rev. Mod. Phys. 15, 1.
2. Rosenbluth M., MacDonald W.M., and Judd D.L. (1957) "Fokker-Planck Equation for an Inverse-Square Force," Phys. Rev. 107, 1.
3. Pomraning G.C. (1992) "The Fokker-Planck Operator as an Asymptotic Limit," Math. Models Meth. Appl. Sci. 2, 21.
4. Pomraning G.C. (1996) "Higher Order Fokker-Planck Operators," Nucl. Sci. Eng. 124, 390.
5. Morel J.E. (1981) "Fokker-Planck Calculations Using Standard Discrete Ordinates Codes," Nucl. Sci. Eng. 79, 340.
6. Przybylski K. and Ligou J. (1992) "Numerical Analysis of the Boltzmann Equation Including Fokker-Planck Terms," Nucl. Sci. Eng. 81, 92.
7. Caro M. and Ligou J. (1983) "Treatment of Scattering Anisotropy of Neutrons Through the Boltzmann-Fokker-Planck Equation," Nucl. Sci. Eng. 83, 242.
8. Morel J.E. (1985) "An Improved Fokker-Planck Angular Differencing Scheme," Nucl. Sci. Eng. 89, 131.
9. Henyey L.G. and Greenstein J.L. (1941) "Diffuse Radiation in the Galaxy," Astrophys. J. 93, 70.
10. Börgers C. and Larsen E.W. (1996). "On the Accuracy of the Fokker-Planck and Fermi Pencil Beam Equations for Charged Particle Transport," Med. Phys. 23, 1749.
11. Taylor M.E. (1981) Pseudodifferential Operators, Princeton University Press, Princeton, NJ.
12. Case K.M. and Zweifel P.F. (1967) Linear Transport Theory, Addison-Wesley Publishing Co., Reading, Mass.
13. Pomraning G.C. (1997) "A Non-Gaussian Treatment of Radiation Pencil Beams," Nucl. Sci. Eng. 127, 182.
14. Pomraning G.C. and Prinja A.K. (1998) "The Pencil Beam Problem for Screened Rutherford Scattering," Nucl. Sci. Eng., to appear.