# A Brillouin's negentropy in an Einstein solid

#### Ted Ali

Summary
Brillouin's Negentropy principle to an isolated Einstein solid, with a decreasing number of oscillators.
Hello!
I would like to apply Brillouin's negentropy principle to an isolated Einstein solid, with a decreasing number of oscillators. We assume that the number of oscillators are initially N and the energy quanta (q the number) remain constant.
Firstly, I would like to know if this principle is applicable in this case.
Secondly, I would like to calculate the formula for Information I, when N decreases by one (1) unit.
My calculations:
$$\Omega_N = \frac{(N - 1 + q)!}{(N - 1)!q!}$$ So, $I =k\ln{\frac{\Omega_N}{\Omega_{N-1}}} =k\ln \left( \frac{N - 1 + q}{N - 1} \right).$

Please let me know if I am correct.
Thank you in advance,
Ted.

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