homework11 - Physics 481: Condensed Matter Physics -...

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Physics 481: Condensed Matter Physics - Homework 11 due date: April 22, 2011 Problem 1: Microscopic Drude theory (Ashcroft-Mermin 1.1, 20 points + 5 BONUS) A microscopic picture of the Drude theory can be built from the following assumptions: (i) While moving through the metal, the electrons suffer random collisions with the ions, between the colli- sions, there are no interactions between the electrons and ions or among the electrons. (ii) Collisions are instantaneous events that abruptly change the velocity of the electrons. (iii) Collisions occur with a rate (probability per time) of 1 . (iv) The collisions maintain local thermal equilibrium, i.e., after a collision the electron emerges in a random direction with a speed appropriate to the local temperature at the place of the collision. a) Show that an electron picked at random had no collision during the preceding time interval t with probability e - t/τ . Show that it will have no collisions during the following time interval
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This note was uploaded on 10/04/2011 for the course PHYSICS 481 taught by Professor Thomasvojta during the Spring '11 term at Missouri S&T.

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homework11 - Physics 481: Condensed Matter Physics -...

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