- #1
center o bass
- 560
- 2
Hello! I'm trying to do a satisfactory derivation of the Boltzmann distribution. By using lagrange multipliers I've come as far as to prove that
[tex]P(i) = \frac{1}{Z} e^{-\beta E(i)}[/tex]
where
[tex]Z = \sum_i e^{-\beta E(i)},[/tex]
but how does one actually establish that
[tex]\beta = 1/kT?[/tex]
[tex]P(i) = \frac{1}{Z} e^{-\beta E(i)}[/tex]
where
[tex]Z = \sum_i e^{-\beta E(i)},[/tex]
but how does one actually establish that
[tex]\beta = 1/kT?[/tex]