TY - JOUR
T1 - Persistent homology analysis of phase transitions
AU - Donato, Irene
AU - Gori, Matteo
AU - Pettini, Marco
AU - Petri, Giovanni
AU - De Nigris, Sarah
AU - Franzosi, Roberto
AU - Vaccarino, Francesco
PY - 2016/5/20
Y1 - 2016/5/20
N2 - Persistent homology analysis, a recently developed computational method in algebraic topology, is applied to the study of the phase transitions undergone by the so-called mean-field XY model and by the φ4 lattice model, respectively. For both models the relationship between phase transitions and the topological properties of certain submanifolds of configuration space are exactly known. It turns out that these a priori known facts are clearly retrieved by persistent homology analysis of dynamically sampled submanifolds of configuration space.
AB - Persistent homology analysis, a recently developed computational method in algebraic topology, is applied to the study of the phase transitions undergone by the so-called mean-field XY model and by the φ4 lattice model, respectively. For both models the relationship between phase transitions and the topological properties of certain submanifolds of configuration space are exactly known. It turns out that these a priori known facts are clearly retrieved by persistent homology analysis of dynamically sampled submanifolds of configuration space.
UR - http://www.scopus.com/inward/record.url?scp=84971254638&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.93.052138
DO - 10.1103/PhysRevE.93.052138
M3 - Article
AN - SCOPUS:84971254638
SN - 1539-3755
VL - 93
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 5
M1 - 052138
ER -