Universal Amplitude Ratios in the Ising Model in Three Dimensions
Statistical Mechanics
2015-05-28 v3
Abstract
We use a high-precision Monte Carlo simulation to determine the universal specific-heat amplitude ratio A+/A- in the three-dimensional Ising model via the impact angle \phi of complex temperature zeros. We also measure the correlation-length critical exponent \nu from finite-size scaling, and the specific-heat exponent \alpha through hyperscaling. Extrapolations to the thermodynamic limit yield \phi = 59.2(1.0) degrees, A+/A- = 0.56(3), \nu = 0.63048(32) and \alpha = 0.1086(10). These results are compatible with some previous estimates from a variety of sources and rule out recently conjectured exact values.
Cite
@article{arxiv.1107.1186,
title = {Universal Amplitude Ratios in the Ising Model in Three Dimensions},
author = {A. Gordillo-Guerrero and R. Kenna and J. J. Ruiz-Lorenzo},
journal= {arXiv preprint arXiv:1107.1186},
year = {2015}
}
Comments
17 pages, 5 figures