# Homeworks - PHYS 334 - Spring 2012

## Homework schedule

February 17, 2012 - 9:40 - **Homework 1** - Exercises 1.1, 1.2 and 2.5 (take d = 1,2,3 and calculate MSD). Optional: repeat 2.5 for a self-avoiding random walk. February 17, 2012 - 9:41 - **Homework 2** - Simulation Langevin equation: (1) with T=0 and m>0 for various initial conditions; (2) with m=0 and T>0 for various T, R, etc.; (3) with m>0 and compare with previous case. In all cases notice the dependence on the timestep and calculate MSD. March 13, 2012 - 11:40 - **Homework 3** - Simulation of Brownian particle in a diffusion gradient D(x) = 1-x^2 and an harmonic potential. Calculate the probability distribution. Use α=1, .5 and 0. March 13, 2012 - 11:41 - **Homeworks 4** - Exercises 3.1, 3.2, 3.3 and 3.8. March 23, 2012 - 11:40 - **Homework 5** - Exercises 6.1, 6.2, 6.3 & 6.4 March 30, 2012 - 11:40 - **Homework 6** - Implement a Montecarlo MatLab program to simulate the Ising Model in 2D and explore its thermalization for various values of T. April 6, 2012 - 11:40 - **Homework 7** - Exercises 4.2 & 4.3 May 8, 2012 - 10:40 - **Homework 8** - Exercises 7.1, 7.2, 7.8, 7.14 & 7.16 May 11, 2012 - 8:40 - **Homework 9** - Exercises 10.1, 10.3, 10.5 & 10.7