### Thermodynamic limit in Monte Carlo simulation

Posted:

**Tue Aug 07, 2018 4:20 pm UTC**Hi guys.

I'm using the Monte Carlo method to simulate a spin lattice. If I have a square lattice, L x L, I can plot the phase transition temperature by the inverse of the lattice length (1/L) to find the phase transition temperature in the thermodynamic limit (extrapolating the curve for 1/L = 0 point). But, if I'm simulating a nanotube lattice, which approximate to an one-dimensional lattice by the increase of its length (L), which should be my "x" axis, 1/L, 1/√L ???

I'll thanks so much by any help!

I'm using the Monte Carlo method to simulate a spin lattice. If I have a square lattice, L x L, I can plot the phase transition temperature by the inverse of the lattice length (1/L) to find the phase transition temperature in the thermodynamic limit (extrapolating the curve for 1/L = 0 point). But, if I'm simulating a nanotube lattice, which approximate to an one-dimensional lattice by the increase of its length (L), which should be my "x" axis, 1/L, 1/√L ???

I'll thanks so much by any help!