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Simulation 1 - Binary Configuration

This program is a simplified version of the program used for the simulations described in Chapter 4. Here, you choose the number of dice and the number of steps. The program starts with an all-zero configuration. At each step the program chooses a dice (either at random or sequentially) then flips it to get either “zero” or “one” with probability . The program records the sum of the dots on all the dice, and plots the sum as a function of the number of steps. It is suggested that you start with a small number of dice; 4, 8, 10, 20 and then go to 100 and 200. If you have a fast-working computer, you can go up to 1000 dice and 2000 steps. This will take some time but it is rewarding. Check both the random and the sequential options. Follow the changes in the curve when you increase the number of dice. Examine the smoothness of the curve, the number of steps to reach the equilibrium line, and the number of times the sum goes back to zero. Have fun and good luck.



Number of Steps Max