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Article Dans Une Revue Physical Review E Année : 2016

Persistent Homology analysis of Phase Transitions

Résumé

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 XY-mean field model and by the phi^4 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.

Dates et versions

hal-01259244 , version 1 (20-01-2016)

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Irene Donato, Matteo Gori, Marco Pettini, Giovanni Petri, Sarah de Nigris, et al.. Persistent Homology analysis of Phase Transitions. Physical Review E , 2016, 93 (5), pp.052138 ⟨10.1103/PhysRevE.93.052138⟩. ⟨hal-01259244⟩
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