Timeline for Probabilities in statistical mechanics
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 23, 2013 at 19:22 | answer | added | gatsu | timeline score: 1 | |
| Aug 23, 2013 at 17:28 | comment | added | physguy | My intuition also tells me it should be independent of $N$. However, if all the electrons are independent, the probability should follow a binomial distribution, so that the probability would be $N!/((0.75N)!(0.25N)!) \; p^{0.75N} (1-p)^{0.25N}$, where $p$ is the probability of one electron to have energy $E_+$. This does depend on $N$ though... | |
| Aug 23, 2013 at 11:15 | comment | added | gatsu | I don't get it, if you imagine your $N$ electrons to be independent, then the probability you are looking for is independent on $N$. You just want that $e^{-\beta E_+}/\xi = 0.75$ don't you? | |
| Aug 23, 2013 at 0:27 | answer | added | joshphysics | timeline score: 1 | |
| Aug 22, 2013 at 23:11 | history | asked | physguy | CC BY-SA 3.0 |