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## Transport Effects in Plasmas and Plasma Devices

### Diffusion of Particles Across Magnetic Field Lines

#### General Treatment of Transient Diffusion of Gas

To establish a framework for the discussion of transport, we look at a general analytical treatment for a static fluid in a () semi-infinite volume of a species of number density, n, which at time t = 0 begins diffusing into a (+) semi-infinite region. In this case, the general equation for the diffusion of density is $∂n∂t=D∇2n$, which can be solved analytically depending on the boundary conditions (Wylie, 1966).
If we consider one dimension and take the boundary and initial conditions, (1) n(x,t) = 0 for ...

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