Problem I.1 Simulate a polymer chain
at thermal equilibrium using Monte Carlo
Routine following closely:
http://www.science-park.info/simulation/mc1.html

Do not purchase the program form Science Park, it is pretty easy to do this on your own.

(This problem is somewhat similar to the Ising Model Problem form Polymer Properties.)

The program should minimize the energy of a polymer chain based on random thermal motion and an energy equilibration.

You will report the end to end distance, radius of gyration and

Using a simplified Boltzman law, "probability of the arrangement which is defined as: exp(-E)"

Randomization "The weighting factor is compared with a random number"

1)  Report R_g versus N for N = 10, 50, 100, 500, 1000 and determine P in R_g = K N^P.
2)  Show your code for minimizing the chain size.

3)  Use the commercial applet to find the theta temperature.

The Program is due 3 weeks after Quiz 1.  Partial credit will be given so it can be advantageous to turn in a partly completed program.