** Next:** Equivalence of Ensembles
**Up:** Ensembles and Thermodynamic Potentials
** Previous:** Grand Canonical Ensemble

We have an *extensive quantity* *x* and the corresponding
*conjugated variable* *X*:

**Microcanonical ensemble:***x*-ensemble:*x*is exchanged with the universe,*X*=*const*

Any conserved extensive quantity generates a conjugated force, ensemble and thermodynamic potential!

We can change volume, but , (infinitely flexible insulated walls)

Extensive variable: *V*, thermodynamic force: *P*. Probability of a
state:

**Consequence:**

Phenomenological Thermodynamics is the study of properties of Legendre transformations of convex functions.

Unknown Mathematician

© 1997

Tue Sep 9 22:39:08 EDT 1997