Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp-interface approach for simulating solid-state dewetting in two
  dimensions: a Cahn-Hoffman $\boldsymbol{\xi}$-vector formulation   By using a Cahn-Hoffman $\boldsymbol{\xi}$-vector formulation, we propose a
sharp-interface approach for solving solid-state dewetting problems in two
dimensions. First, based on the thermodynamic variation and smooth vector-field
perturbation method, we rigorously derive a sharp-interface model with weakly
anisotropic surface energies, and this model describes the interface evolution
which occurs through surface diffusion flow and contact line migration. Second,
a parametric finite element method in terms of the $\boldsymbol{\xi}$-vector
formulation is proposed for numerically solving the sharp-interface model. By
performing numerical simulations, we examine several specific evolution
processes for solid-state dewetting of thin films, e.g., the evolution of small
islands, pinch-off of large islands and power-law retraction dynamics of
semi-infinite step films, and these simulation results are highly consistent
with experimental observations. Finally, we also include the strong surface
energy anisotropy into the sharp-interface model and design its corresponding
numerical scheme via the $\boldsymbol{\xi}$-vector formulation.

23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs