- #1
sarahger9
- 3
- 0
I'm having some difficulties with a problem. Based on the constraints, I have found that the average energy per particle is u = (Eo + E1 e^(-B deltaE)) / (1 + e^(-B deltaE)). I know this is correct. However, I am having problems solving as T approaches 0 and infinity. B = 1/T
It tells me the average energy is about u = Eo + (deltaE)e^(-B delatE) as t approaches 0, and u = (1/2)(Eo + E1) - (1/4)B(delataE)^2 as T approaches infinity. I was able to easily get the first term in these expressions, but how the second term is coming out I have no idea. I was trying taking a derivitive for a while, but I don't believe that that is the way to go. Does anybody have any ideas?
Thanks
It tells me the average energy is about u = Eo + (deltaE)e^(-B delatE) as t approaches 0, and u = (1/2)(Eo + E1) - (1/4)B(delataE)^2 as T approaches infinity. I was able to easily get the first term in these expressions, but how the second term is coming out I have no idea. I was trying taking a derivitive for a while, but I don't believe that that is the way to go. Does anybody have any ideas?
Thanks