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Percolation on Elastic Networks: New Exponent and Threshold
Abstract
Bond percolation on elastic networks involving nearest-neighbor forces is studied by numerical simulations. With purely central forces, the bulk and shear moduli go to zero, with an exponent $f$, and at a threshold ${p}_{\mathrm{cen}}$, which are significantly higher than the exponent $t$ and threshold ${p}_{c}$ of the corresponding purely isotropic force or the equivalent electrical conduction problem. An interesting crossover is observed when both central and isotropic forces are included.
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Cites
Kirkpatrick, S. (1973) · Reviews of Modern Physics · doi:10.1103/revmodphys.45.574 · Cited by 5,260
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Physics of inhomogeneous inorganic materials
Nan, C.-W. (1993) · Progress in Materials Science · doi:10.1016/0079-6425(93)90004-5 · Cited by 1,050
Morphology and Properties of Polyester/Exfoliated Graphite Nanocomposites
Kim, H., & Macosko, C. W. (2008) · Macromolecules · doi:10.1021/ma702385h · Cited by 438
Phonons and elasticity in critically coordinated lattices
Lubensky, T. C., Kane, C. L., Mao, X., Souslov, A., & Sun, K. (2015) · Reports on Progress in Physics · doi:10.1088/0034-4885/78/7/073901 · Cited by 270
Cross-linked polymersome membranes: Vesicles with broadly adjustable properties
Discher, B. M., Bermudez, H., Hammer, D. A., Discher, D. E., Won, Y.-Y., & Bates, F. S. (2002) · The Journal of Physical Chemistry B · doi:10.1021/jp011958z · Cited by 262
Metadata
- Authors
- Feng, S., & Sen, P. N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1984-01-16
- Volume
- 52
- Issue
- 3
- Pages
- 216-219
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2041999166
- Cited by
- 577
- References
- 1
- FWCI
- 18.81
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
