Fluctuations (Lecture notes)

Dear all,
I just updated the section on fluctuations in our lecture notes. Please check!

New version of our lecture notes

There, you can also find a couple of questions.

They refer to the fluctuations of the coefficients in the work differential. Please upload your answers as comments to this post. Remember that your participation in this blog will be evaluated. We will discuss the solutions to this questions on Wednesday.

posdata: A convenient way to upload formulas or parts of a document: Take screen shots and then just copy-paste into the edit-window of your post.

Comentarios

  1. Mitzi Saldivar24 de marzo de 2020 a las 11:22 a.m.

    Este comentario ha sido eliminado por el autor.

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  2. Alan Silva25 de marzo de 2020 a las 9:20 a.m.

    i really couldn't get the mean of the second partial of the hamiltonian with respect the volume, how do i get it? i tried to use the equipartition theorem, but, never found what to do if there's a second partial derivate

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  3. Thomas25 de marzo de 2020 a las 7:23 p.m.

    If you refer to the gas (ideal and real gas) then this is precisely the problem. One would naturally try to argue that the Hamiltonian is just the kinetic energy and therefore the derivative should be zero. Then one would be left with a negative variance coming from the first term of the formula.

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