A Guide to Physics Problems. Part 2. Thermodynamics, Statistical Physics, and Quantum Mechanics

goes to 1/2 when goes toinfinity;hence, at

b) The entropy may be found from (S.4.45.2)–(S.4.45.4):

The entropy per particle, isgiven by

Writing

We can check that

as it should.

4.46 Zipper (Boston)

a) A partitionfunction may be written as

where wehave used thefact that astate with open links has an energy

where

So

THERMODYNAMICS AND STATISTICAL PHYSICS 147