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Covers the study of (primarily homogeneous) macroscopic systems from a heat/energy/entropy point of view. Consider also using the tag: [statistical-mechanics].

3 votes

Why do we need Legendre transformation for thermodynamic potentials?

If we didn't use Legendre transform, we would waste precious information. Consider the case of a function of one variable for simplicity: $y=g(x)$. Now what you propose to do is to define $t=\frac{dg} …
Salvatore Manfredi D's user avatar
6 votes
3 answers
686 views

Why do we need Legendre transformation for thermodynamic potentials?

I get the idea that thermodynamic potentials are introduced because it is not always easy to describe a system's energy as a function of variables like $S,V,N$ as we normally do with internal energy $ …
Salvatore Manfredi D's user avatar
2 votes
1 answer
77 views

Why is entropy a quantification of the typical fluctuation of internal energy around the exp...

In different books (one example is Statistical mechanics of learning, by Engel and Van Der Broeck) I stumbled upon an idea which should be elementary, but to me it is not easy to grasp. Entropy can be …
Salvatore Manfredi D's user avatar