\sect{Baruch's D28.} \begin{itemize} \item[(a)]Write the Diffusion constant ${D}$ in terms of the velocity-velocity correlation function. [Assume that this correlation has a finite range in time]. \item [(b)] Use Kubo's formula, assuming uncorrelated particles, to derive the Einstein-Nernst formula for the mobility ${\mu = eD/k_{B}T}$. ${[\mu =\sigma \left(\omega =0\right)/ne }$ and ${n}$ is the particle density].\\ \end{itemize} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%