In this assignment we study the Ising model by Monte Carlo simulation using the algorithm of Metropolis et. al. Click here for an applet based on Program ising in section 17.4 of the textbook.For this assignment, work and submit the following:
- Problem 17.4 One-dimensional Ising model. Work parts a, b, and c, and any one of parts d, e, f. This is a good programming exercise, and also ensures you understand how to program the Metropolis algorithm. Hint:
See also applet IsingExact.
- Problem 17.6 Comparison with exact results. You may have trouble in part b getting the system to equilibrate at the suggested temperatures T = 0.5 and 0.25. Why? Try larger values of T.