Topological aspects of geometrical signatures of phase transitions
  Certain geometric properties of submanifolds of configuration space are numerically investigated for classical lattice phi^4 models in one and two dimensions. Peculiar behaviors of the computed geometric quantities are found only in the two-dimensional case, when a phase transition is present. The observed phenomenology strongly supports, though in an indirect way, a recently proposed topological conjecture about a topology change of the configuration space submanifolds as counterpart of a phase transition. 
Roberto Franzosi (1,5), Lapo Casetti (2), Lionel Spinelli (3,5), Marco   Pettini (4,5) ((1) Dipartimento di Fisica, Universi...