Kinetics equations for neutron distributions

Studying Transition Behavior of Neutron Point Kinetics Equations Using the Lyapunov Exponent Method

The neutron density is one of the most important dynamical parameters in a reactor. It is directly related to the control and stability of the reactor power. Any change in applied reactivity and some of dynamical parameters in the reactor causes a change in the neutron density. Lyapunov exponent method is a powerful tool for investigating the range of stability and the transient behavior of the...

Parallel Solvers for Neutron Diffusion Equations

Neutron Kinetics via Numerical Laplace Transform Inversion

A newly developed numerical Laplace transform inversion (NLTI) will be presented to determine the transient flux distribution within a subcritical fissile sample. The NLTI considered in this presentation has evolved to its present state over the past 10 years of application. The methodology adopted relies on the evaluation of the Bromwich contour through acceleration of the convergence of an in...

Proton and neutron density distributions for A = 16 - 58 nuclei

A new method of calculating nuclear charge and matter distributions is described. It uses the sum of the squares of single-particle wavefunctions to give a first approximation and then iterates the proton and neutron densities in a formalism that takes into account the interaction between these densities and hetween the valence and core nacleons. The single-particle potentials are adjusted to g...

Double Distributions and Evolution Equations

Applications of perturbative QCD to deeply virtual Compton scattering and hard exclusive meson electroproduction processes require a generalization of usual parton distributions for the case when long-distance information is accumulated in nonforward matrix elements 〈p | O(0, z) | p〉 of quark and gluon light-cone operators. In our previous papers we used two types of nonperturbative functions p...