Finite size behavior of the Ising square lattice with free edges

Publisher Website
Google Scholar
Abstract
Using an importance sampling Monte Carlo technique we have studied NxN Ising square lattices with free edges for 3≲N≲60. Both the shift in ’’ordering temperature’’ T c (N) as well as the broadening of the transition due to finite N are greater than for identical lattices with periodic boundary conditions (p.b.c). We find that 1−T c (N)/T c (∝) =a/N with a=1.24±0.04 and that (C/R)max?0.33 l n N +0.2. For N≳30 the specific heat begins to approach the same asymptotic size dependence as found for much smaller lattices with p.b.c. Similarly, the finite size dependence of the order parameter is much more dramatic for free edges than p.b.c. and the limiting behavior is not reached until N≳30.

This publication has 0 references indexed in Scilit: