- #1

YY82

- 1

- 0

## Homework Statement

Consider a polymer formed by connecting N disc shaped molecules into a one dimensional chain. Each molecule can align along either its long axis (of length 2a) or short axis (of length a ). The Energy of the monomer aligned along its shorter axis is higher by e, that is the total energy

H = e.U, where U is the number of monomers standing up.

## Homework Equations

a) Calculate the Partition function Z(T,N)

b) Find the relative probabilities for a monomer to be aligned along its short or long axis.

c) Calculate the average length < L(T,N) > of the polymer.

## The Attempt at a Solution

I am having difficulties writing the partition function for such a thing, it seems to be the partition function of a canonical ensemble, but I cannot find it.