The influence of droplet size on line tension

Details The influence of droplet size on line tension The influence of droplet size on line tension

2004-06-21

arxiv.org/abs/cond-mat/0406469v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

Within the effective interfacial Hamiltonian approach we evaluate the excess line free energy associated with cylinder-shaped droplets sessile on a stripe-like chemical inhomogeneity of a planar substrate. In the case of short-range intermolecular forces the droplet morphology and the corresponding expression for the line tension - which includes the inhomogeneity finite width effects - are derived and discussed as functions of temperature and increasing width. The width-dependent contributions to the line tension change their structure at the stripe wetting temperature T_W1: for TT_W1 the decay is algebraic. In addition, a geometric construction of the corresponding contact angle is carried out and its implications are discussed.

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