12 citations · 31 across the 7 of their papers we have counts for
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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…
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…
Topology and Phase Transitions: Theorem on a necessary relation
Roberto Franzosi, Marco Pettini, Lionel Spinelli
An emended and improved version of the present paper has been archived in math-ph/0505057, and a preliminary account of its content has been published in Phys.Rev.Lett. 92, 60601,…