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binbagsss

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## Homework Statement

Hi

I am looking at the attached extract from David Tong's lecure notes on statistical phsyics

So we have a canonical ensemble system ##S##, and the idea is that we take ##W>>1## copies of the system ##S##, and the copies of ##W## taken together then can be treated as a microcanonical ensemble with energy ##W<E>##.

Each such copy lives in a state ##|n>##.

I am stuck on this part

' if ##W## is large enough the number of systems that sit in the state ##|n>## is ##p(n)W##' amd therefore we have 'translated probabilities into eventualities'.

MY QUESTIONS

Q1) I don't understand why ##W## is large is needed for ##p(n)W## to describe the number of systems that sit in state ##|n>##? Why doesn't this hold for small ##n##?

Q2)Also probably a stupid quesiton, but in what ways to the states ##|n>##, which physical properties are allowed to differ, since isn't the idea to take a large number ##W## of identical copies of the system ##S##, or do they not neeed to be identical?

## Homework Equations

## The Attempt at a Solution

__Moderator note:__

Moved from homework section to a technical.

The reference it refers to is http://www.damtp.cam.ac.uk/user/tong/statphys/sp.pdf (page 22)

Thx @Stephen Tashi

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