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On the slowing down and transport of neutrons in an infinite medium

Journal Article · · Nuclear Science and Engineering; (United States)
OSTI ID:5071947
 [1]
  1. Univ. of Illinois, Dept. of Nuclear Engineering, Urbana, IL (US)
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This paper presents the classical problem of time-independent slowing down and transport of neutrons in an infinite planar homogeneous medium with constant cross sections. By applying a Laplace transform with respect to the lethargy variable, the Boltzmann equation describing this problem is brought into the form of a parameter-dependent monenergetic transport equation with anisotropic scattering to all orders in terms of Legendre polynomials. This equation is solved by expansion in singular eigenfunctions. An original expression encompassing previously derived Gaussian and exponential-type formulas is obtained for the asymptotic scalar flux. The phase-space region where the scalar flux changes its behavior from a Gaussian to an exponential type is derived analytically as a function of the scatterer's atomic mass. Analytical comparisons with currently available expressions for the scalar flux are also presented.

OSTI ID:
5071947
Journal Information:
Nuclear Science and Engineering; (United States), Journal Name: Nuclear Science and Engineering; (United States) Vol. 108:1; ISSN 0029-5639; ISSN NSENA
Country of Publication:
United States
Language:
English

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Related Subjects

654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYONS
BOLTZMANN EQUATION
CLASSICAL MECHANICS
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FUNCTIONS
GAUSS FUNCTION
HADRONS
INTEGRAL TRANSFORMATIONS
LAPLACE TRANSFORMATION
LEGENDRE POLYNOMIALS
MATERIALS
MATHEMATICAL SPACE
MECHANICS
NEUTRAL-PARTICLE TRANSPORT
NEUTRON TRANSPORT
NEUTRONS
NUCLEONS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SPACE
POLYNOMIALS
RADIATION TRANSPORT
SCALARS
SCATTERING
SLOWING-DOWN
SPACE
TIME DEPENDENCE
TRANSFORMATIONS