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math-ph2005★ 50 cited
Topology and Phase Transitions II. Theorem on a necessary relation
Roberto Franzosi, Marco Pettini
In this second paper, we prove a necessity Theorem about the topological origin of phase transitions. We consider physical systems described by smooth microscopic interaction poten…
math-ph2005★ 50 cited
Topology and Phase Transitions I. Preliminary Results
Roberto Franzosi, Marco Pettini, Lionel Spinelli
In this first paper, we demonstrate a theorem that establishes a first step toward proving a necessary topological condition for the occurrence of first or second order phase trans…