| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 976648 | Physica A: Statistical Mechanics and its Applications | 2007 | 16 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Elena Kartashova, Guenther Mayrhofer,