2016-02-15, 01:52 PM
I haven't done stat mech or thermo in a few years so forgive me if I make a mistake.
First glance - N! divided by two other factorials makes me immediately think binomial distribution, and that fits the question of counting states (N choose R = N!/(R!*(N-R)!))
The delE/(2*mu*B) term in the answer combined with delE>>mu*B reminds me of a certain condition (approximation?) used in stat mech. can't remember the name - sorry. but if delE>>2*mu*B there's a derivative relationship I'd have to look up.
Total number of particles N = n1+n2
Rewrite equation for E in terms of n1 or n2 - solution makes me think it'd also be helpful to rewrite it as an equation for n1 or n2 (one or the other - I don't think you have to do both. could be wrong).
First glance - N! divided by two other factorials makes me immediately think binomial distribution, and that fits the question of counting states (N choose R = N!/(R!*(N-R)!))
The delE/(2*mu*B) term in the answer combined with delE>>mu*B reminds me of a certain condition (approximation?) used in stat mech. can't remember the name - sorry. but if delE>>2*mu*B there's a derivative relationship I'd have to look up.
Total number of particles N = n1+n2
Rewrite equation for E in terms of n1 or n2 - solution makes me think it'd also be helpful to rewrite it as an equation for n1 or n2 (one or the other - I don't think you have to do both. could be wrong).