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- 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.

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.