solve and explain in detail: (a) Can we observe diffusion for point particles? Point particles are defi ned as particles of zero radius. (b) A particle is diffusing freely between -infinity < x < +infinity. Calculate and< x^2(t) >. (Hint 1: You can calculate this by integrating diffusion equation. Hint2: Average velocity of the diffusing particle is zero. Hint 3: Probability of fi nding the particle at in nity is zero) (c) Suppose you can track the movement of a single particle in a given system. This means you can fi nd the position of a single particle at every moment. Then, how would you use the results of part (b) to find whether the movement of that particle is diffusion.
solve and explain in detail:
(a) Can we observe diffusion for point particles? Point particles are defi ned as particles of zero radius.
(b)
A particle is diffusing freely between -infinity < x < +infinity. Calculate <x(t) > and< x^2(t) >. (Hint 1: You can calculate this by integrating diffusion equation. Hint2: Average velocity of the diffusing particle is zero. Hint 3: Probability of fi nding the particle at in nity is zero)
(c) Suppose you can track the movement of a single particle in a given system. This means you can fi nd the position of a single particle at every moment. Then, how would you use the results of part (b) to find whether the movement of that particle is diffusion.
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