Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-09-02
Phys. Rev. E65, 036103 (2002).
Physics
Condensed Matter
Statistical Mechanics
18 pages, 4 figures, to be published in Phys. Rev. E 65, 1 February 2002
Scientific paper
10.1103/PhysRevE.65.036103
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.
Hu Chin-Kun
Izmailian Nickolay Sh.
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