Continuum models of two-dimensional random droplets

François Bavaud

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1 Citation (Scopus)


We study the statistical mechanical properties of a two-dimensional assembly of free particles coupled to a mechanical reservoir. The particles-reservoir interaction is modelised by an Hamiltonian depending on the convex hull of the particles only. We concentrate on models whose energy is the sum of an area-term, a perimeter term and possibly a term preventing the particles occupying the interior of the convex hull. The range of coupling constants insuring a thermodynamic behaviour, as well as the associated free energy per particle are exactly determined. © 1990 Kluwer Academic Publishers.

Original languageEnglish
Pages (from-to)75-84
Number of pages10
JournalLetters in Mathematical Physics
Issue number1
Publication statusPublished - Jul 1990


  • AMS subject classifications (1980): 82A05, 52A22, 60D05


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