Abstract
The number of zero-frequency modes of an elastic network is an important quantity in determining the stability of the network. We present a constraint-counting method for finding this number in general central-force networks that are under an external tension. The technique involves isolating the backbone and then counting constraints in the same way as for free standing networks. A detailed example of this counting is given for a random two-dimensional network subject to an external tension. The results are shown to agree with the number of zero-frequency modes as determined by a direct matrix diagonalization.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 6876-6880 |
| Number of pages | 5 |
| Journal | Physical Review B |
| Volume | 38 |
| Issue number | 10 |
| DOIs | |
| State | Published - 1988 |
| Externally published | Yes |
ASJC Scopus subject areas
- Condensed Matter Physics