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

Preprint

5 December 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0009024

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.

Keywords

FINITE SIZE CORRECTIONS
SIZE CORRECTIONS
CRITICAL POINT
EXACT AMPITUDE
AMPITUDE RATIO
ISING MODEL
SQUARE M X

All Related Versions

Version 1, 2000-09-02, ArXiv
Version 2, 2001-12-05, ArXiv
Published version: Physical Review E, 65 (3), 036103.

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