Question
Starting with the general form of transport equation, obtain the diffusion equation$
Answer :
Word Count : 213
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Transport of particles or energy in a medium is described by a continuity (transport) equation expressing local conservation. Let φ(⃗r, E, t) be the particle density (or phase-space density) and J(⃗r, E, t) the corresponding flux. The general transport equation is ∂φ/∂t + ∇·J = S − L, where S and L represent sources and losses respectively. For a purely diffusive process in a homogeneous medium, sources and sinks are absent, so S = L = 0,
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