Metropolis Monte Carlo for the Ising Model¶

In this notebook you will do Metropolis Monte Carlo to see the properties of the 1-d Ising model, numerically, and compare to the exact results in 1d

Radial distribution function for an ideal gas¶

This week we will compute the radial distribution function for an ideal gas, which will get us ready to do it for a real system next time

First we have to generate a "configuration" of an ideal gas. We'll do it in 2D. Fortunately, this is easy because it just means the x and y for each particle are random between 0 and L.

In this homework, we're going to test empirically some of the statistical ideas we saw in class¶

Problem 1: Random walk on a 1d lattice¶

In class we looked at how a "random walk" on a 1d lattice leads to diffusion. Let's show that it's true using data

Problem 1a - generating a trajectory for a random walk¶ more ...

Metropolis Monte Carlo for the Ising Model¶

In this notebook you will do Metropolis Monte Carlo to see the properties of the 1-d Ising model, numerically, and compare to the exact results in 1d