Thermodynamics, Statistical Physics, and Quantum Mechanics

148

b) The averagenumber of open links isgiven by

whichdoes notdepend onN. It is alsozipped uptight!

Hanging Chain (Boston)

a) Let the number oflinks with majoraxis vertical be the number of

horizontal major axislinkswillthen be The totallength of the

chain isthen

The energy of the system, is also a function of since

where is thenumber ofpossibleconfigurations with
majoraxisverticallinks.

b) The averageenergy can befound from (S.4.47.3):

4.47

If then and

SOLUTIONS

where we let The partition function