Unformatted text preview: U is still a function of just the three extensive variables, since we can think of the other three "variables" as derivable from the three extensive. Legendre Transform We can use another mathematical tool here to make the Thermodynamic Identity even more useful. The Legendre Transform allows us to make a variable change in our definition of U . After all, suppose we don't want the energy as a function of the three variables above, σ , V , and N . We will utilize the Legendre Transform minimally, and not delve into the underlying mathematics. The basic idea is that you can define a new function that is related to the original by an added product of two correlated terms. Let us make this explicit by using it....
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 Fall '10
 DavidJudd
 Physics, Thermodynamics, Energy, Legendre transform, thermodynamic identity

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