How to derivate Maxwell Boltzmann Distribution

by Troller
Tags: boltzmann, derivate, distribution, maxwell
 P: 3 Hi PFers. I am interested in Maxwell Boltzmann Distribution. I have searched in Internet for the derivation but I am not satified with them. Can somebody show me the way to derivate it? Thanks. ψ(v)=(m/2*pi*kT)^(3/2) e^(-mv^2/2kT)
 PF Patron P: 995 There are many ways to derive it - some more insightful than others. Have you taken/taking stat mech?
 P: 3 Thanks for the answer. I haven't taken Statistical Mechanics but Statistics. Could it be useful for this?
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P: 10,697

How to derivate Maxwell Boltzmann Distribution

 Quote by Troller I have searched in Internet for the derivation but I am not satified with them.
It would help if you tell us why you are not satisfied. Then people won't waste time pointing you to the same things again.
 P: 3 Thanks. Yeap, here. 1st http://www.eecis.udel.edu/~breech/ph...es/node32.html Sorry I haven't used LaTeX well enough to type it here again. At derivation of ψ(v)=f(vx)f(vy)f(vz) by taking derivatives with respect to vx, it is very unclear to me. I think dψ/dvx = dψ/dv * dv/dvx. And after that I dont know how to solve it. 2nd http://www.maxwellsociety.net/Physic...Boltzmann.html This seems better and easier. At the part argumenting for spherical shell, there are a lot of values of vx/y/z so that give the same value of v!? And the application of function g(v)=$\alpha$v^n * e^(-$\beta$v^2) is a bit evidencelessly.

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