301. A lattice model for the line tension of a sessile drop
- Author
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Lahoussine Laanait, Jean Ruiz, Salvador Miracle-Sole, D. Gandolfo, Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), École normale supérieure - Rabat (ENS Rabat), and Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2
- Subjects
Materials science ,[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] ,FOS: Physical sciences ,lattice gas ,01 natural sciences ,interfaces ,Sessile drop technique ,[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] ,Lattice (order) ,surface tension ,0103 physical sciences ,Ising model ,line tension ,0101 mathematics ,[PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech] ,010306 general physics ,Convergent series ,Condensed Matter - Statistical Mechanics ,Mathematical Physics ,wetting ,Condensed matter physics ,Statistical Mechanics (cond-mat.stat-mech) ,010102 general mathematics ,Contact line ,Statistical and Nonlinear Physics ,Mathematical Physics (math-ph) ,cluster expansion ,Zero temperature ,Cluster expansion - Abstract
Within a semi--infinite thre--dimensional lattice gas model describing the coexistence of two phases on a substrate, we study, by cluster expansion techniques, the free energy (line tension) associated with the contact line between the two phases and the substrate. We show that this line tension, is given at low temperature by a convergent series whose leading term is negative, and equals $0$ at zero temperature.
- Published
- 2006