IGNOU MPHE 26 2026 - State Fick's law. Discuss its importance in neutron transport /dif

Question

State Fick's law. Discuss its importance in neutron transport /diffusion. Write the assumptions used to derive Fick's law and hence derive its expression.

19 Jan 2026

Answer :

Word Count : 352

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

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