Dictionary:Diffusion equation

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1. A simplification of the wave equation for EM-waves in a good conductor:

or .

where =angular frequency, =magnetic permeability, and =electric conductivity.

2. An equation for the rate of temperature change as a consequence of heat diffusion:

,

where T=temperature, t=time, k=thermal diffusivity, =density, and cp=specific heat at constant pressure. See Fowler (1990, 222–223).