Cluster formation in mesoscopic systems

Günther Mayrhofer; Elena Kartaschova

doi:10.1016/j.physa.2007.07.035

Cluster formation in mesoscopic systems

Günther Mayrhofer, Elena Kartaschova

Research Institute for Symbolic Computation

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	527-542
Number of pages	16
Journal	Physica A: Statistical Mechanics and its Applications
Volume	385
Issue number	2
DOIs	https://doi.org/10.1016/j.physa.2007.07.035
Publication status	Published - 15 Nov 2007

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101009 Geometry
101012 Combinatorics
101013 Mathematical logic
101020 Technical mathematics

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10.1016/j.physa.2007.07.035

Cite this

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title = "Cluster formation in mesoscopic systems",

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.",

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AB - 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.

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DO - 10.1016/j.physa.2007.07.035

M3 - Article

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VL - 385

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EP - 542

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 2

ER -

Cluster formation in mesoscopic systems

Abstract

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