2 problems
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Conjecture that positive volume contribution is necessary for phase transition
Consider the Quermass interaction for a finite configuration of points, given by … where , is the -th Minkowski functional, and…
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Conjecture that the Quermass phase transition is a liquid-gas transition
The model is a Gibbs point process with Quermass interaction, whose parameters include the activity and inverse temperature, and suppose that the first-order phase transition estab…