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Cluster formation in mesoscopic systems

Author

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  • Kartashova, Elena
  • Mayrhofer, Guenther

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.

Suggested Citation

  • Kartashova, Elena & Mayrhofer, Guenther, 2007. "Cluster formation in mesoscopic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 527-542.
  • Handle: RePEc:eee:phsmap:v:385:y:2007:i:2:p:527-542
    DOI: 10.1016/j.physa.2007.07.035
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