Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a probabilistic model for martensitic avalanches incorporating
  mechanical compatibility   Building on the work in \cite{BCH15,CH18,TIVP17}, in this article we propose
and study a simple, geometrically constrained, probabilistic algorithm geared
towards capturing some aspects of the nucleation in shape-memory alloys. As a
main novelty with respect to the algorithms in \cite{BCH15,CH18,TIVP17} we
include \emph{mechanical compatibility}. The mechanical compatibility here is
guaranteed by using \emph{convex integration building blocks} in the nucleation
steps. We analytically investigate the algorithm's convergence and the
solutions' regularity, viewing the latter as a measure for the fractality of
the resulting microstructure. We complement our analysis with a numerical
implemenation of the scheme and compare it to the numerical results in
\cite{BCH15,CH18,TIVP17}.

5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn