Homework 1: Swendsen 3.1, 3.9, 3.10, 3.11, 3.12

Homework 2

 

Homework 3: Sander 1.2, 1.4, 2.2, 2.5

Homework 4

 

Homework 5: Swendsen 20.1; Sander 5.2;

3. Consider a molecule at temperature T that can exist in three states of energy E, 2 E, 10 E (a) Write a program that uses the Metropolis algorithm to simulate the transitions between these states. (b) Use the program to plot the average energy of the molecule as a function of temperature. Use words to describe the behavior you find as T goes to zero or infinity and any cross-over behavior at intermediate temperatures.

 

Homework 6: Swendsen 23.1, 23.4, 23.7, 23.8

 

Homework 7: Swendsen 24.1, 24.3; Sander 6.4; Swendsen 25.1; Sander 6.9 (extra credit)

 

Homework 8: Swendsen 26.1, 27.1, 27.2, 27.3

 

Homework 9: Swendsen 28.1, 28.3, 28.4, 30.2