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I have a problem understanding the derivation of the energy distribution function; i.e. the number of particles dN with energy dE,

here is what I have (from literature);

dN/dE = dN/dt * dt/dV * dV/dE

so you can define some of these whole derivitives in terms of acceleration (dV/dT), the number of particles you count per unit time (dN/dT) and how velocity varies with energy dV/dE,

So after plugging in the known quantitites, you end up with something like

dN/dE = dN/dt * -t^3 / md^2

where,

t = time

N = number of particles

m = mass

d = distance

Now here's my problem, I know that breaking up the dN/dE term into seperate differentiable components make it easier to solve in terms of know quantities ( m,t,d etc.) but what I don't understand is how you get from dN/dE to dN/dt * dt/dV * dV/dE, so in other words, what's the formal procedure for seperating out the derivitaves.

Hopefuly this is straightforward enough (for you),

Thanks

G