# Thermodynamics: Ensembles

1. Dec 21, 2008

### Niles

Hi all.

I read about thermodynamical ensemble, in particular the canonical ensemble. Using maximum entropy, we can introduce a Lagrange-multiplier $$\beta$$, which can be interpreted as the temperature.

I read on Wikipedia that the canonical ensemble has a constant temperature. Does this mean that when dealing with an arbitrary ensenble, the Lagrange multipliers are always constant? I.e. for the grand canonical ensemble, the temperature and the chemical potential is constant?