Topological aspects of geometrical signatures of phase transitions
Franzosi, Roberto ; Casetti, Lapo ; Spinelli, Lionel ; Pettini, Marco
arXiv, 9810180 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-10-15
Classification:  Condensed Matter - Statistical Mechanics,  High Energy Physics - Phenomenology,  Mathematical Physics 
@article{9810180,
     author = {Franzosi, Roberto and Casetti, Lapo and Spinelli, Lionel and Pettini, Marco},
     title = {Topological aspects of geometrical signatures of phase transitions},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9810180}
}

Franzosi, Roberto; Casetti, Lapo; Spinelli, Lionel; Pettini, Marco. Topological aspects of geometrical signatures of phase transitions. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9810180/