Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite size effects on surface excess quantities: application to crystal
  growth and surface melting of epitaxial layers   From a macroscopic point of view phase transitions as surface melting or two
dimensional (2D) towards three dimensional (3D) growth mode (Stranski-Krastanov
transition) can be described in terms of Gibbs excess quantity duly amended by
size effects (since usual Gibbs excess quantities are only well defined for
semi-infinite systems). The aim of this study is to consider such amended
quantities to describe surface melting and Stranski-Krastanov transition of
epitaxial layers. the so-introduced size effects allows us to predict the
equilibrium thickness of the wetting layer of the Stranski-Krastanov growth
mode and to describe and classify two different melting cases: the incomplete
melting relayed by a first order transition and the continuous premelting
relayed by continuous overheating

14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ