1. The problem statement, all variables and given/known data Demonstrate that Eq. (1.1) will convert to the Einstein relation Eq. (1.2) in the limit of t→∞ when we assume ξ=6πaμ. Conversely, show that Eq. (1.1) will yield <x2> ~ t2 in the limit of t→0. Confirm the consistency of the principle of equipartition of energy. 2. Relevant equations Eq. (1.1) is <x2> = (2kT/ξ)[t-(m/ξ)(1-e-tξ/m)] Eq (1.2) is (MSD)2 = 2Dτ x is the displacement of a Brownian particle moving in a viscous liquid m is the mass of the particle ξ is the friction coefficient. We assume it is governed by Stoke's law which states that the frictional force decelerating a spherical particle of a radius and mass ms is ξ=6πaμ, where μ the viscosity of the surrounding liquid. MSD (or MΔ2, I don't know the HTML code for the overbar) is the mean square displacement of the particle τ is the time interval of observation in which the particle will move as much as Δ D is the diffusion coefficient k is Boltzmann's constant T is the absolute temperature I don't know where to start with this...any help will be much appreciated.