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Unformatted text preview: C 4 exp , 2 ( ) = = Dt x u s s du e C Dt x C t x C 2 2 2 2 erfc , Show that a Gaussian profile remains Gaussian after further diffusion. That is, If : (- < x < + ) Then after additional time t at the same temperature: Please use the method similar to below for derivation. Here apparently C is not a constant it is a function of x i as C(x i ,t ) ( ) = 2 4 exp 2 , Dt x Dt Q t x C ( ) + + = + ) ( 4 exp ) ( 2 , 2 t t D x t t D Q t t x C ( ) ( ) = = n i i i Dt x x x Dt C t x C 1 2 4 exp 2 ,...
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- Spring '10