Exact Ampitude Ratio and Finite-Size Corrections for the M x N Square Lattice Ising Model The :

Abstract

Let f, U and C represent, respectively, the free energy, the internal energy and the specific heat of the critical Ising model on the square M x N lattice with periodic boundary conditions. We find that N f and U are well-defined odd function of 1/N. We also find that ratios of subdominant (N^(-2 i - 1)) finite-size corrections amplitudes for the internal energy and the specific heat are constant. The free energy and the internal energy at the critical point are calculated asymtotically up to N^(-5) order, and the specific heat up to N^(-3) order.

18 pages, 4 figures, to be published in Phys. Rev. E 65, 1 February 2002

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