Entropy over Time | Physics Homework Questions

[Niles]

Homework Statement

Hi all, please take a look at this:

http://vanha.physics.utu.fi/opiskelu/kurssit/FFYS4497/exercises/EX-2.pdf

Nr. 2,4, the last question. What do they mean by: "Also compute the entropy
over long time scales."?

The Attempt at a Solution

I simply don't understand the question. I know that the entropy, S, can be written as:

S = k*ln(omega),

but how does time come into this?

 

[wakko101]

In the first part, you are caculating the entropy of a specific macrostate (ie. the most likely and the least likely). What the question is asking (I believe) is to calculate the entropy over all possible macrostates. The idea is that, as time goes by, more macrostates are theoretically possible so you need to take into account all of the macrostates as opposed to just one.

As least, I'm pretty sure that's it...=)