- #1
Aaron young
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Homework Statement
The problem I have been set is to rework the Drude model using clearly defined scattering statistics.
Homework Equations
The Drude model as we have been given it is in terms of momentum
[itex]\vec{p}(t+dt)=(1-\frac{dt}{\tau})(\vec{p}(t)-q\vec{E}(t)dt)+(\frac{dt}{\tau})(0)[/itex]
Where that last term represents the contribution of the scattered electrons to the total momentum of the electrons in the system.
The Attempt at a Solution
My attempts so far have focused on trying to use Fermi-Dirac statistics to somehow derive the momentum of a scattered electron (ie. one at thermal velocity) as a function of the average energy of an electron at thermal velocity. I have the horrible feeling I have been barking up completely the wrong tree however, so I am now making an attempt to somehow integrate classical elastic scattering off of nuclei into the equation. I don't know how well this will work though.
If anyone has been given a similar assignment in the past or has an idea what direction sounds most right to be going in some suggestions would be greatly appreciated.