1.a. analyze an ideal gas in a two dimensional world using micro-canonical ensemble. Specifically, find the equation of state (surface tension and area will replace pressure and volume) and also the energy as a function of temperature. b. modify the equation to create a “van der Waal” – like equation for this two dimensional gas. c. compute the energy of this van der waal gas (assume a constant heat capacity at constant area).
I know the obvious eqns for an ideal gas, but I dont know how to start this problem
The Attempt at a Solution
First, how can I apply micro-canonical ensemble to a gas with N particles, I thought that it should be canonical ensemble to a system with this order of magnitude? Second, what do they mean by a "in a 2-D world," besides the obvious that its 2-D, what kind of a system is it? Any suggestions on how to start the problem would be most welcome!