English

Softening Transitions with Quenched 2D Gravity

High Energy Physics - Lattice 2009-10-28 v1

Abstract

We perform extensive Monte Carlo simulations of the 10-state Potts model on quenched two-dimensional Φ3\Phi^3 gravity graphs to study the effect of quenched connectivity disorder on the phase transition, which is strongly first order on regular lattices. The numerical data provides strong evidence that, due to the quenched randomness, the discontinuous first-order phase transition of the pure model is softened to a continuous transition.

Keywords

Cite

@article{arxiv.hep-lat/9609044,
  title  = {Softening Transitions with Quenched 2D Gravity},
  author = {C. F. Baillie and W. Janke and D. A. Johnston},
  journal= {arXiv preprint arXiv:hep-lat/9609044},
  year   = {2009}
}

Comments

3 pages, LaTeX + 1 postscript figure. Talk presented at LATTICE96(other models). See also http://www.cond-mat.physik.uni-mainz.de/~janke/doc/home_janke.html

R2 v1 2026-07-22T13:21:24.624Z