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Finite-size behavior of the critical Ising model on a rectangle with free boundaries

2012
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Physical Review E
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Using the bond-propagation algorithm, we study the Ising model on a rectangle of size M × N with free boundaries. For five aspect ratios ρ=M/N=1,2,4,8,16, the critical free energy, internal energy and specific heat are calculated. The largest size reached is M × N=64× 10^6. The accuracy of the free energy reaches 10^-26. Basing on these accurate data, we determine exact expansions of the critical free energy, internal energy and specific heat. With these expansions, we extract the bulk, surface

doi:10.1103/physreve.86.041149
pmid:23214571
fatcat:cree5abhzrewhmcvmzfv2skcii