Talk:Boltzmann distribution

I think that the current definition of Boltzmann distribution is misleading. The probability of a microsate, say $X_{i}$, is Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \propto \exp \left[ - E(X_i) \right] } . but a given energy can be degenerate, so I think that it should be written something like

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(E) \propto \Omega(E) \exp \left[ - E/k_B T \right] } ,

where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle  \Omega \left( E \right) }
 is the degeneracy of the energy Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle  E }
; therefore 

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(E) = \frac{1}{Z} \Omega(E) \exp \left[ -E/k_B T \right] } .

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--Noe 10:32, 17 July 2008 (CEST)

Good point -- Carl McBride (talk) 14:33, 17 July 2008 (CEST)