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Fick's first law states that the particle flux (\vec{J}) due to diffusion is proportional to the negative gradient of particle density (n(\vec{r},t)): [ \vec{J} = -D \nabla n ] where (D) is the diffusion coefficient, (n) is the number density of particles, and (\vec{J}) is the particle flux (particles per unit area per unit time). Fick's law is fundamental in neutron transport and diffusion because it provides a macroscopic relation connecting neutron flux with the spatial variation of neutron density. In nuclear reactors, it is used to describe _______ __________ __________ ____ ________ _______ ______ _______ ________.
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