445lec12 - PHYS 445 Lecture 12 Ensembles Lecture 12...

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PHYS 445 Lecture 12 - Ensembles 12 - 1 © 2001 by David Boal, Simon Fraser University. All rights reserved; further resale or copying is strictly prohibited. Lecture 12 - Ensembles What's Important: ensembles spin - 1/2 particles in a magnetic field Text : Reif Demonstrations : magnet and compasses on an overhead projector magnetization and temperature - use Monel (Ni+Cu) at near a single compass; no effect at room temperature, but magnetized at liquid nitrogen temperatures. Review Skip Chap. 4 Skip Chap. 5, except Sec. 5.2, which was covered in Lec. 9 Carry on to Chap. 6 - applications and results. Ensembles The previous lectures have investigated systems under a variety of conditions. Listed below are a few of the more commonly used conditions, and the names of the corresponding ensembles. 1. Completely isolated system or microcanonical ensemble particle number, volume and energy are all fixed, hence NVE system is in some small energy range E to E + E , with all states r in the range equally accessible Defining P r as the probability of finding the system in state r , one finds P r = 0 E r > E + E P r = constant E E r E + E P r = 0 E r < E 2.
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