CHAOS : BUTTERFLIES ALSO GENERATE PHASE TRANSITIONS AND PARALLEL UNIVERSES

Renaud Leplaideur (1)

1 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique

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.

Mots clés: phase transition; thermodynamic formalism; equilibrium states

Domaines: Systèmes dynamiques [math.DS]

Renaud Leplaideur. CHAOS : BUTTERFLIES ALSO GENERATE PHASE TRANSITIONS AND PARALLEL UNIVERSES. 2013. ⟨hal-00780005⟩