Cluster formation in mesoscopic systems
Pattern Formation and Solitons
2007-09-27 v1
Abstract
Graph-theoretical approach is used to study cluster formation in mesocsopic systems. Appearance of these clusters are due to discrete resonances which are presented in the form of a multigraph with labeled edges. This presentation allows to construct all non-isomorphic clusters in a finite spectral domain and generate corresponding dynamical systems automatically. Results of MATHEMATICA implementation are given and two possible mechanisms of cluster destroying are discussed.
Keywords
Cite
@article{arxiv.nlin/0703039,
title = {Cluster formation in mesoscopic systems},
author = {Elena Kartashova and Guenther Mayrhofer},
journal= {arXiv preprint arXiv:nlin/0703039},
year = {2007}
}