445lec7 - PHYS 445 Lecture 7 - Ensembles and averages...

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PHYS 445 Lecture 7 - Ensembles and averages 7 - 1 © 2001 by David Boal, Simon Fraser University. All rights reserved; further resale or copying is strictly prohibited. Lecture 7 - Ensembles and averages What's Important: ensembles and averages heat, work, energy Text : Reif Demo : mechanical equivalent of heat Further reading : Secs. 2-10, 2-11. Ensembles and averages Suppose we have a group of hard spheres confined to a container. The spheres have no other interaction with each other beyond their hard-core potential: when they collide, they exchange energy and momentum according the usual conservation laws. Suppose that we now want to find the probability of a sphere having a given speed s . Few spheres are moving either very slowly or very fast. The probability density distribution might look like: where P ( s ) ds is the probability of finding a sphere with speed between s and s + ds . We can imagine two ways of measuring this distribution: measure all spheres at once make repeated measurements on a single sphere P ( s ) s
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PHYS 445 Lecture 7 - Ensembles and averages 7 - 2 © 2001 by David Boal, Simon Fraser University. All rights reserved; further resale or copying is strictly prohibited. The
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445lec7 - PHYS 445 Lecture 7 - Ensembles and averages...

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