Extendable Freely Jointed Chain 1D

Model of the extendable freely-jointed-chain in one dimension.

Using the Fourier Transform Integral method, this script plots the Partition Function for an Extendable Freely Jointed Chain Model at different extensions. For a freely-jointed-chain with N links, each of length link_length, we include a parameter extendable_length that controls the extensibility of each link.

This calculation supports the Extendable Freely Jointed Chain chapter of the UCL PhD thesis.

Requirements

Python 2.7 TexLive distribution

Has been tested on Mac OS X, Windows 8 and Linux

Instructions

When the script is executed a results directory is created which contains all the raw data and plots (pdf format).

To run different parameters change the variables link_length and extendable_length near the top of the script. In the main section you can specify the chain size in the N list.

WARNING: Using N > 12 causes unstable results that will increase run time (see thesis for more info)

Files

efjc_1d.py - Main file to execute libmath.py