## How to derivate Maxwell Boltzmann Distribution

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)
 PhysOrg.com physics news on PhysOrg.com >> Study provides better understanding of water's freezing behavior at nanoscale>> Soft matter offers new ways to study how ordered materials arrange themselves>> Making quantum encryption practical
 Recognitions: Gold Member There are many ways to derive it - some more insightful than others. Have you taken/taking stat mech?
 Thanks for the answer. I haven't taken Statistical Mechanics but Statistics. Could it be useful for this?

Mentor

## 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.
 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.