Questions tagged [entropy]

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In which work was Gibbs' Inequality introduced?

Gibbs' inequality $$-\sum\limits_{i=1}^n p_{i} \cdot \log{p_{i}} \le -\sum\limits_{i=1}^n p_{i} \cdot \log{q_{i}}$$ is such a popular thing that I cannot find where it was introduced. My findings I ...
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votes
1answer
91 views

How did Carnot come up with the idea of Carnot Engine being the most efficient engine?

I am not asking the proof of why the Carnot Engine is the most efficient engine. I wish to know the history of the development of idea of the most efficient engine. I wish to know how Carnot came up ...
2
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0answers
81 views

How did Gibbs discover Gibbs entropy?

I have read and I think that I agree with the idea that if we have to choose probability distribution for an unknown system then it is a good idea to choose a distribution that has the least bias. I ...