Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Impact of Surface Geometry, Cavitation, and Condensation on Wetting
  Transitions: Posts and Reentrant Structures   The fundamental impacts of surface geometry on the stability of wetting
states, and the transitions between them are elucidated for posts and reentrant
structures in both two and three dimensions. We identify three principal
outcomes of particular importance for future surface design of liquid-repellent
surfaces. Firstly, we demonstrate and quantify how capillary condensation and
vapour cavitation affect wetting state stabilities, and the roles condensates
play in wetting transitions. Crucially, this leads to a description of the
surface structures which exhibit a suspended state in the absence of a
collapsed state. Secondly, two distinct collapse mechanisms are observed for 3D
reentrant geometries, Base Contact and Pillar Contact, which are operative at
different pillar heights. As well as morphological differences in the
penetrating liquid, each mechanism is affected differently by changes in the
contact angle with the solid. Finally, symmetry breaking is shown to be
prevalent in 2D systems, but absent in the 3D equivalents. For the 2D reentrant
geometries, three pillar heigh-dependent collapse mechanisms are shown:
asymmetric Pillar Contact and Base Contact, and a third hybrid mode.

2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin