In the random walk derivation of Fick’s Second Law, the diffusion coefficient was equated to A) $ \lambda^{2} / 2 t_{c} $ B) kt /$\beta$ C) $\lambda$ / t_c D) $ \lambda^{2}$ / E) t_c / $\lambda$

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Quizplus · Accepted Answer

The diffusion coefficient in the context of a random walk is often represented as $ \lambda^{2} / 2 t_{c} $, where $ \lambda $ is the mean free path (average distance traveled between collisions) and $ t_{c} $ is the average time between collisions. This formula captures the essence of diffusion as a process dependent on the square of the distance traveled over time.

In the Random Walk Derivation of Fick’s Second Law, the Diffusion