Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Do the contact angle and line tension of surface-attached droplets
  depend on the radius of curvature?   Results from Monte Carlo simulations of wall-attached droplets in the
three-dimensional Ising lattice gas model and in a symmetric binary
Lennard-Jones fluid, confined by antisymmetric walls, are analyzed, with the
aim to estimate the dependence of the contact angle $(\Theta)$ on the droplet
radius $(R)$ of curvature. Sphere-cap shape of the wall-attached droplets is
assumed throughout. An approach, based purely on "thermodynamic" observables,
e.g., chemical potential, excess density due to the droplet, etc., is used, to
avoid ambiguities in the decision which particles belong (or do not belong,
respectively) to the droplet. It is found that the results are compatible with
a variation $[\Theta(R)-\Theta_{\infty}] \propto 1/R$, $\Theta_{\infty}$ being
the contact angle in the thermodynamic limit ($R=\infty$). The possibility to
use such results to estimate the excess free energy related to the contact line
of the droplet, namely the line tension, at the wall, is discussed. Various
problems that hamper this approach and were not fully recognized in previous
attempts to extract the line tension are identified. It is also found that the
dependence of wall tensions on the difference of chemical potential of the
droplet from that at the bulk coexistence provides effectively a change of the
contact angle of similar magnitude. The simulation approach yields precise
estimates for the excess density due to wall-attached droplets and the
corresponding free energy excess, relative to a system without a droplet at the
same chemical potential. It is shown that this information suffices to estimate
nucleation barriers, not affected by ambiguities on droplet shape, contact
angle and line tension.

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The categories of this paper are: physics
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The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: math
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th