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Updated: Mar 19, 2026

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions
Published on: April 19, 2018
Persistent homology analysis of phase transitions
Irene Donato1, Matteo Gori1, Marco Pettini1
1Aix-Marseille University, CNRS Centre de Physique Théorique UMR 7332, Campus de Luminy, Case 907, 13288 Marseille Cedex 09, France.
Abstract:
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 ϕ^{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.
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