Team:Valencia UPV/prueba

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Diffusion



The diffusion equation is a partial differential equation which describes density dynamics in a material undergoing diffusion. It is also used to describe processes exhibiting diffusive-like behavior, like in our case.


The equation is usually written as:


where ϕ(r, t) is the density of the diffusing material at location r and time t and D(ϕ, r) is the collective diffusion coefficient for density ϕ at location r; and ∇ represents the vector differential operator del.


If the diffusion coefficient does not depend on the density then the equation is linear and D is constant.

Thus, the equation reduces to the following linear differential equation: