Re: Basic Statistical Mechanics Questions

lost.and.lonely.physicist_at_gmail.com
Date: 01/30/05


Date: Sun, 30 Jan 2005 08:42:10 +0000 (UTC)

Dan Platt wrote:
> Usually, this correspondence is made from a classical argument,
> starting with
>
> S = S(E, V, N),

Why is entropy a function of E, V and N only? I guess some other poster
answered, basically that there might be other variables?

One (but not the only) of my issues here is we are appealing to
classical physics - for instance, that PdV is the infinitesimal work is
primarily a classical idea, right? Could we get the same result using
QM and then interpret it as "pressure"?

> Consider the expression of E = E(S, V, N). All of these variables
are
> "extrinsic." Double the size of the system, and you double the size
of
> all of the variables E, S, V, and N. So, you can write:
>
> r E(S, V, N) = E(rS, rV, rN).

I've seen this before too! But unfortunately it's not obvious to me
again - I might be pedantic here - especially why r times of S would
give r times of E.

Thanks!



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