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Physical Review E
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, surfacedoi:10.1103/physreve.86.041149 pmid:23214571 fatcat:cree5abhzrewhmcvmzfv2skcii