Personally, I found it easier to learn about entropy by starting from
thermodynamics and then later trying to grok the statistical mechanical
perspective. Maybe start with a good thermodynamics textbook? A couple of
popular science options are Hanlon’s *Block by Block* and Atkins’
*Thermodynamics* in the *Very Short Introduction* series. If you want
something with more teeth, try Steane’s *Thermodynamics: **A Complete
Undergraduate Course*. I particularly like his financial analogy: being
given $1 as a dollar bill versus as 100 cents hidden around your house.
It’s completely equivalent from a first-law perspective, not so much from a
second-law perspective.

Cheers,

—Robert

On Sat, Dec 28, 2024 at 4:14 PM Nicholas Thompson <thompnicks...@gmail.com>
wrote:

> FWIW,  I have been struggling with the concept of entropy for the last
> month. One of the puzzles was why entropy increased with addition of heat.
> I  bullied George for a few hours and he finally admitted not only that the
> mean and variance of the B-distribution are correlated, but that its
> variance is the square of its mean.   Why that is the case is beyond both
> of us.
>
> He also coughed up eventually the reason that adiabatic compression and
> decompression don't alter entropy:  there is a trade off between spatial
> constraint and kinetic energy such that as the gas is confined its kinetic
> energy goes up and with that a compensating increase in the variance  of
> the KE.
>
> Yeah.  I know.   Fools rush in where wise men fear to tread.
>
> N
>
> --
> Nicholas S. Thompson
> Emeritus Professor of Psychology and Ethology
> Clark University
> nthomp...@clarku.edu
> https://wordpress.clarku.edu/nthompson
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