Complexity at Mesoscale
Pattern Formation and Solitons
2016-08-15 v1
Abstract
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.
Cite
@article{arxiv.nlin/0012050,
title = {Complexity at Mesoscale},
author = {A. R. Bishop and K. Ø. Rasmussen and J. Röder and T. Lookman and A. Saxena and Andrea Vanossi and Panayotis Kevrekidis},
journal= {arXiv preprint arXiv:nlin/0012050},
year = {2016}
}
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