Continuum models of two-dimensional random droplets

François Bavaud

doi:10.1007/BF00417231

Continuum models of two-dimensional random droplets

François Bavaud

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

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Abstract

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 language	English
Pages (from-to)	75-84
Number of pages	10
Journal	Letters in Mathematical Physics
Volume	20
Issue number	1
DOIs	https://doi.org/10.1007/BF00417231
Publication status	Published - Jul 1990

Keywords

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

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10.1007/BF00417231

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abstract = "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. {\textcopyright} 1990 Kluwer Academic Publishers.",

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AB - 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.

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

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VL - 20

SP - 75

EP - 84

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 1

ER -

Continuum models of two-dimensional random droplets

Abstract

Keywords

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