My Math Forum Probability at temperature in system has energy

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 December 1st, 2018, 08:27 PM #1 Newbie   Joined: Dec 2018 From: Colombia Posts: 6 Thanks: 0 Probability at temperature in system has energy Salutations, I'm starting in statistical mechanics and reviewing some related studying cases I would like to understand what occurs in small systems with normal modes of vibration, for example, a small system that has 2 normal modes of vibration, with natural frequencies $\omega_1$ and $\omega_2=2\omega_1$. So, what would be the probability at a temperature T that the system would get an energy less than $5\omega_1/2$? if it's assumed the zero of energy is taken as its value at $T=0$. I would like any guidance for better understanding of that kind of cases because those problems are very interesting, specially how to approach them. Thanks for your attention.

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