Ideal Gas Law in Two Dimensions

[nomnom123]

TL;DR

Can a maxwell-boltzmann curve be recreated in a 2d model of an ideal gas?

I am creating a two-dimensional model of an ideal gas, and I was wondering how I should determine initial velocity.
Ideally, I would like for the simulation to reach a point where the velocity distribution resembles that of the maxwell-boltzmann curve — will this be achieved if I, say, assign initial velocities randomly?
I'm not sure it will, as the collisions are elastic and I kept the mass of the particle the same — wouldn't the velocities simply swap?

 

[tkyoung75]

Only if they are the same speed. The change in velocity of each particle will be the same, and the total velocity after the impact will be the same as the total velocity before the impact.