Cluster formation in mesoscopic systems

Elena Kartashova and Guenther Mayrhofer

Physica A: Statistical Mechanics and its Applications, 2007, vol. 385, issue 2, 527-542

Abstract: Graph-theoretical approach is used to study cluster formation in mesocsopic systems. Appearance of these clusters is 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: Mesoscopic systems; Discrete resonances; Graph-theoretical approach; Dynamics (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:385:y:2007:i:2:p:527-542

DOI: 10.1016/j.physa.2007.07.035

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