Talk:Maxwell–Jüttner distribution
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Notes edit
This page was created from content that was originally at Maxwell–Boltzmann distribution. Like that article, it would be nice to have a Probability Distribution infobox. However there are two interesting distributions here:
- Distribution in Lorentz factor (the distribution currently shown)
- Distribution in speed (very interesting... particles pile up on a "velocity shell" at the speed of light" !)
Hopefully future edits can demonstrate both distributions. --Nanite (talk) 12:44, 11 September 2013 (UTC)
Is the graph wrong? edit
I think the graph is wrong. Indeed, if I take Θ=1 and log(γ)=1.5, I get log(f(γ))~-2 and it is -10 in the graph (see http://www.wolframalpha.com/input/?i=log%28%28x^2*sqrt%281-1%2Fx^2%29%2FK2%281%29%29*e^-x%29+for+x%3De^1.5)
2001:620:600:A800:BDDC:AF5D:2862:FCDB (talk) 15:35, 23 November 2015 (UTC)
The graph is correct in case anyone is concerned. It's just using log base 10 for both axes. (see http://www.wolframalpha.com/input/?i=log10%28%28x^2*sqrt%281-1%2Fx^2%29%2FK2%281%29%29*e^-x%29+for+x%3D10^1) for example. That is if Θ=1, log10(γ)=1 is taken, we get log10(f(γ))≈-2.6, which roughly lines up on the graph. Katachresis (talk) 20:44, 25 April 2016 (UTC)
Equation does not appear in citation edit
The key equation in this article,
is credited to Synge (1957). I'm looking at the text right now, and the closest I can come is Synge's Equation (118), which omits the factor of from the distribution function (as well as including a handful of constants for the purpose of correct normalization). Can somebody clarify where in Synge (1957) this equation is supposed to come from? [Edit: ignore this. As usual, I spend days staring at a problem only to discover the solution right after asking someone else.] 113.35.73.46 (talk) 08:34, 29 July 2017 (UTC)