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Transport Theory and Statistical Physics Volume 7, 1978 - Issue 4
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Original Articles

The criticality problem for highly anisotropic scattering

C. Pomraning School of Engineering and Applied Science University of California, Los Angeles, California, 90024
Pages 161-171 | Published online: 20 Aug 2006

Citations (21)

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Read on this site (5)

A.K. Kulkarni, S.D. Paranjape, V. Kumar & D.C. Sahni. (1994) Nonmonotonic behavior of the ‘C’ eigenvalue of the one-speed neutron transport problem in two-dimensional cylindrical (R,Z) geometry. Transport Theory and Statistical Physics 23:6, pages 893-906.
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D.C. Sahni & N.G. Sjöstrand. (1991) Non-monotonic variation of the criticality factor with the degree of anisotropy in one-speed neutron transport. Transport Theory and Statistical Physics 20:4, pages 339-349.
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C. Tezcan. (1981) Built-in reflection effect. Transport Theory and Statistical Physics 10:3, pages 105-111.
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G.C. Pomraning. (1980) Flux distributions in small critical systems–where: Intuition fails?. Transport Theory and Statistical Physics 9:1, pages 1-16.
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C. Tezcan. (1979) The cylindrical critical problem for an extremely anisotropic kernel. Transport Theory and Statistical Physics 8:3, pages 187-192.
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Articles from other publishers (16)

C. Yíldíz. (2022) Calculation of the higher order eigenvalues for a homogeneous sphere using the F N method . Kerntechnik 66:1-2, pages 33-36.
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Hakan Öztürk. (2014) The effect of strongly anisotropic scattering on the critical size of a slab in one-speed neutron transport theory: Modified UN method. Annals of Nuclear Energy 65, pages 24-29.
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C. Yildiz. (2002) The FN solution of the time-dependent neutron transport equation for a sphere with forward scattering. Journal of Quantitative Spectroscopy and Radiative Transfer 74:4, pages 521-529.
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C. Yildiz. (2001) The spherical harmonics method for anisotropic scattering in neutron transport theory: the critical sphere problem. Journal of Quantitative Spectroscopy and Radiative Transfer 71:1, pages 25-37.
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C Yildiz. (2001) Calculation of the albedo and transmission in a slab with a specified isotropic scattering using the FN method. Journal of Quantitative Spectroscopy and Radiative Transfer 70:1, pages 37-45.
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C. Yildiz. (2000) Variation of the albedo and the transmission factor with forward and backward scattering in neutron transport theory- the FN method. Annals of Nuclear Energy 27:9, pages 831-840.
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C. Yildiz. (1998) Variation of the critical slab thickness with the degree of strongly anisotropic scattering in one-speed neutron transport theory. Annals of Nuclear Energy 25:8, pages 529-540.
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C. Tezcan. (1996) Third form of the transport equation for extremely anisotropic scattering kernel. Journal of Quantitative Spectroscopy and Radiative Transfer 55:1, pages 33-40.
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Cevdet Tezcan & Cemal Yildiz. (1995) The effect of forward, backward and linear anisotropic scattering on the critical slab thickness. Journal of Quantitative Spectroscopy and Radiative Transfer 53:6, pages 687-691.
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F. Erdogan & C. Tezcan. (1995) The milne problem for extremely anisotropic scattering with the PL method. Journal of Quantitative Spectroscopy and Radiative Transfer 53:6, pages 681-686.
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C. Tezcan & C. Yildiz. (1993) The transformation of PL solutions for extremely anisotropic scattering to solutions with isotropic scattering and application to the critical slab problem. Journal of Quantitative Spectroscopy and Radiative Transfer 49:4, pages 411-416.
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E. Alcan & C. Yildiz. (2008) The sphere criticality problem for specified isotropic scattering model. Il Nuovo Cimento B 107:8, pages 875-883.
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C. Yildiz. (2008) TheF N method for a specified isotropic scattering model. Il Nuovo Cimento B 105:11, pages 1215-1221.
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D.C. Sahni & N.G. Sjöstrand. (1990) Criticality and time eigenvalues in one-speed neutron transport. Progress in Nuclear Energy 23:3, pages 241-289.
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C. Tezcan & C. Yildiz. (1986) The criticality problems with the FN method for the FBIS model. Annals of Nuclear Energy 13:6, pages 345-348.
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C. Tezcan & R. Sever. (1985) The critical slab with the backward-forward-isotropic scattering model. Annals of Nuclear Energy 12:10, pages 573-576.
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