- #1
DavidwN
- 1
- 0
Hi,
I'm currently using the Monte Carlo Metropolis algorithm to investigate the 2D Ising model.
I have an NxN lattice of points with periodic boundary conditions imposed. I was wondering if anyone could explain why the sharpness of the phase transition is affected by the size of N?
I.e. if N is small I get a slow transition and as N is increased, the transition approaches a step function.
I don't understand why this is as I am only considering nearest neighbour interactions and by using periodic boundary conditions surely I am effectively modelling an infinite lattice? So why does the size of the unit cell affect my results?
Thanks!
I'm currently using the Monte Carlo Metropolis algorithm to investigate the 2D Ising model.
I have an NxN lattice of points with periodic boundary conditions imposed. I was wondering if anyone could explain why the sharpness of the phase transition is affected by the size of N?
I.e. if N is small I get a slow transition and as N is increased, the transition approaches a step function.
I don't understand why this is as I am only considering nearest neighbour interactions and by using periodic boundary conditions surely I am effectively modelling an infinite lattice? So why does the size of the unit cell affect my results?
Thanks!