Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complexity at Mesoscale   Through three examples we illustrate some of the concepts and ingredients
required for pattern formation at mesoscopic scales. Two examples build on
microscopic models where mesoscopic patterns emerge from homogeneous ground
states driven into instability by external forcing. In contrast, the third
example builds on a mesoscopic phenomenological Ginzburg-Landau type model of
solid-solid structural phase transitions. Here, mesoscopic textures emerge as a
result of competing length scales arising from the constraints of elastic
compatibility.

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The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th