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Diffusion is the net movement (spreading out) of molecules or atoms down a concentration gradient: from a region of high concentration to a region of low concentration.

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Feasibility of the Diffusion Equation to Model Electric Charges in a Conductor

\frac{\rho}{\epsilon_0}$ as a corollary of the differential form of Gauß's Law $\nabla \cdot E = \frac{\rho}{\epsilon_0}$, would it be natural to model the events proceeding the equilibrium with the diffusion … Taking the diffusion pde in $\mathbb{R}^3$ ($\partial_t u = k \nabla^2 u$) to be parabolic with degenerate eigenvalues, would not the equilibrium in the Poisson equation represent an elliptic PDE ($\nabla …
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