English

Chaos : Butterflies also generate phase transitions and parallel universes

Dynamical Systems 2013-01-24 v1

Abstract

We exhibit examples of mixing subshifts of finite type and potentials such that there are phase transitions but the pressure is always strictly convex. More surprisingly, we show that the pressure can be analytic on some interval although there exist several equilibrium states.

Keywords

Cite

@article{arxiv.1301.5413,
  title  = {Chaos : Butterflies also generate phase transitions and parallel universes},
  author = {Renaud Leplaideur},
  journal= {arXiv preprint arXiv:1301.5413},
  year   = {2013}
}

Comments

19 pages, 3 figures