I Boltzmann Distribution: Formula & Fig 2a in Document

AI Thread Summary
The discussion centers on the formula used to create the exponential Boltzmann distribution depicted in Figure 2a of a referenced document. Participants clarify that the formula is 600*exp(-βε), with β representing a parameter related to energy. The confusion arises around determining the correct values for the parameters, particularly around x=1 yielding y=200. The caption of the figure does not provide sufficient clarity, leading to the exploration of the relationship between the variables. Ultimately, the formula is simplified to exp(log(600) - βε), confirming its straightforward nature.
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Doesn't the caption explain it?
 
funny,
But what values to put in?
Around x=1 it seems to get y=200
e^(ln(600)-1/(1.381×10^-23*300)) = 0?
 
Since the x-axis is βε, the only free parameter is α. As you realized, it goes through ~600 at βε=0, so the formula being plotted is clearly 600*exp(-βε). Or, if you like, exp(log(600) - βε)
 
Doh! So simple, thanks!
 

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