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The Second Law of Thermodynamics - Fluctuation Relations
There's been a revolution in statistical mechanics over the last 20 years. Fluctuation relations are stronger versions of the second law of thermo dynamics. They give us also more information, ind that if you perform the same experiment many, many times, then you might get different outcomes in different trials. And from some fluctuation relations, we canler about the probability of the next trial. Am we can do all sorts of things with fluctuation relations. Some are practical, some are fundamental. But they're not mathematically only theoretical constructs that have been proved to work.