Isoperimetric phase transitions of two-dimensional droplets

François Bavaud

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We consider two-dimensional assemblies of particles governed by hamiltonians depending on the area and the perimeter of their convex hull. Provided the hamiltonian is quadratically homogeneous in the coordinates, we find an exact formula for the free energy. Phase transitions resulting from the competition between area and perimeter can easily be produced and explicitly dealt with. We illustrate those features by a simple example undergoing a second-order transition. © 1990 Springer-Verlag.

Original languageEnglish
Pages (from-to)549-554
Number of pages6
JournalCommunications in Mathematical Physics
Issue number3
Publication statusPublished - Sept 1990


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