Talk:Boltzmann distribution

I think that the current definition of Boltzmann definition is misleading. The probability of a microsate, say $X_{i}$, 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

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] } , with

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 } .

therefor

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)