ON THE STATISTICAL THEORY OF NEUTRON TRANSPORT

Journal Article · Mon Jun 01 04:00:00 EDT 1959 · Nukleonik (West Germany) Discontinued with vol. 12

OSTI ID:4237042

Kosaly, G

S>The behavior of a stable particle in a non-multiplying medium is studied. Considering thc fact that certain parameters characterizing the state of the particle are probability variables representing a stochastic process of the Markoffian type, the second Kolmogoroff-Feller equation is derived and found to be equal to the known kinetic equation. As an additional variable, the number of collisions is also introduced into this equation and the space dependence of the macroscopic cross sections is taken into account. After treating the special case of a steady state, the behavior of neutrons in the slowing down region is considered. As an application the probability pN(u mu )dud mu that the neutron lethargy will be changed in the course of N collisions by a value lying in the interval (u,u + du) and that the cosine of the angle between the initial and final direction of the flight of neutrons lies in the interval ( mu , mu + d mu ) is derived. Upon integrating with respret to the lethargy. the density function of the probability variable mu can be determined. The mean value and the mean square deviation of mu are also derived. (auth)

• Research Organization: Central Research Inst. for Physics, Budapest
• NSA Number: NSA-13-015737
• OSTI ID: 4237042
• Journal Information: Nukleonik (West Germany) Discontinued with vol. 12, Journal Name: Nukleonik (West Germany) Discontinued with vol. 12 Vol. Vol: 1; ISSN NUKKA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CROSS SECTIONS
DENSITY
ENERGY
MARKOV PROCESS
MATHEMATICS
NEUTRONS
PARTICLES
PERFORMANCE
REACTORS
SCATTERING
SLOWDOWN
STABILITY
STATISTICS
STOCHASTIC PROCESSES
TRANSPORT