Colloquium Series 2008-09

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11/6 M. Howard Lee UGA   Logarithmic Diversion in Statistical Mechanics

In physics we often encounter log integrals. When faced with one, a common practice is to "de-log" it via partial integration. Do we do so because we have an aversion to the logarithm? If a physical problem comes naturally "en-logged," this practice can obscure a big picture that may be contained in it. A good example is found in the statistical mechanics of an ideal Fermi gas. A de-logging has yielded a particular solution. But it has also covered up a symmetry that exists between Fermi and Bose thermodynamics. We shall also see that en-logging can be richly diverting.


Based on a talk presented at 21st Smoluchowski symposium on statistical mechanics, Zakopane, Poland, September 2008.

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