Lecture 4 - Revision

Lecture 4 - Revision - Case when one cannot have more than...

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2 Crash Revision of Basics (approximately 1 week, maybe less) Dislocations can also move differently, climb, requires addition movement of atoms Comment (for later): in a compound this gets more interesting. Show video’s of dislocation motion 2.5 Boltzmann, Fermi-Dirac and Bose-Einstein Distributions Distributions: Very quick since covered in 401 Issue: are particles distinguishable or not Classical Case: Boltzmann Distribution Probability of finding something at an energy E, temperature T is proportional to exp(-E/kT) Fermi-Dirac distribution
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Unformatted text preview: Case when one cannot have more than one particle at a given site, for instance a vacancy Probability = 1/{1+exp([E-E F ]/kT)} E F = Fermi energy E=E F , probability is 0.5 E-E F >> kT tends to a Boltzmann distribution Also useful is the entropy for FD S = k{ xlnx + (1-x)ln(1-x)} 0 < x < 1 Bose-Einstein, we wont use in this class Case when one can have many identical particles, e.g. in a laser Elasticity Ended up talking about the importance of boundary conditions in setting up a problem...
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This note was uploaded on 04/13/2010 for the course MAT SCI 404 taught by Professor Matsci during the Winter '10 term at Northwestern.

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