English

Universal amplitude ratios in the 3D Ising Universality Class

Statistical Mechanics 2013-05-29 v3

Abstract

We compute a number of universal amplitude ratios in the three-dimensional Ising universality class. To this end, we perform Monte Carlo simulations of the improved Blume-Capel model on the simple cubic lattice. For example, we obtain A_+/A_-=0.536(2) and C_+/C_-=4.713(7), where A_+- and C_+- are the amplitudes of the specific heat and the magnetic susceptibility, respectively. The subscripts + and - indicate the high and the low temperature phase, respectively. We compare our results with those obtained from previous Monte Carlo simulations, high and low temperature series expansions, field theoretic methods and experiments.

Keywords

Cite

@article{arxiv.1004.4983,
  title  = {Universal amplitude ratios in the 3D Ising Universality Class},
  author = {Martin Hasenbusch},
  journal= {arXiv preprint arXiv:1004.4983},
  year   = {2013}
}

Comments

18 pages, two figures, typos corrected, discussion on finite size corrections extended

R2 v1 2026-06-21T15:15:48.738Z