Talk:Boltzmann distribution
From SklogWiki
I think that the current definition of Boltzmann distribution is misleading. The probability of a microsate, say <math >X_i </math>, is \( \propto \exp \left[ - E(X_i) \right] \). but a given energy can be degenerate, so I think that it should be written something like
\[ f(E) \propto \Omega(E) \exp \left[ - E/k_B T \right] \],
where \( \Omega \left( E \right) \) is the degeneracy of the energy \( E \); therefore
\[ f(E) = \frac{1}{Z} \Omega(E) \exp \left[ -E/k_B T \right] \].
--Noe 10:32, 17 July 2008 (CEST)
- Good point -- Carl McBride (talk) 14:33, 17 July 2008 (CEST)