English

Mixed Order Phase Transitions

Statistical Mechanics 2023-04-18 v2

Abstract

Mixed order phase transitions are transitions which have common features with both first order and second order transitions. I review some results obtained in the context of one of the prototypical models of mixed order transitions, the one-dimensional Ising model with long-range coupling that decays as truncated inverse square distance between spins. The correspondence between this model and the Poland Scheraga model of DNA denaturation, a subject to which Michael Fisher made substantial contribution, is then outlined.

Keywords

Cite

@article{arxiv.2303.00470,
  title  = {Mixed Order Phase Transitions},
  author = {David Mukamel},
  journal= {arXiv preprint arXiv:2303.00470},
  year   = {2023}
}

Comments

10 pages, 5 figures, Michael Fisher Memorial volume References reordered and some comments added

R2 v1 2026-06-28T08:53:58.667Z