- #1
gareth
- 189
- 0
Hi guys,
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 separate 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
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 separate 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