The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Elasticity of Stiff Polymer Networks
Open accessAbstract
We study the elasticity of a two-dimensional random network of rigid rods ("Mikado model"). The essential features incorporated into the model are the anisotropic elasticity of the rods and the random geometry of the network. We show that there are three distinct scaling regimes, characterized by two distinct length scales on the elastic backbone. In addition to a critical rigidity percolation region and a homogeneously elastic regime we find a novel intermediate scaling regime, where the elasticity is dominated by bending deformations.
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Cites
The Theory of Polymer Dynamics
Marrucci, G. (1987) · Journal of Non-Newtonian Fluid Mechanics · doi:10.1016/0377-0257(87)85036-x · Cited by 9,749
The theory of polymer dynamics
Doi, M., & Edwards, S. F. (1986) · Cited by 8,928
Introduction to Percolation Theory
Stauffer, D., Aharony, A., & Redner, S. (1993) · Physics Today · doi:10.1063/1.2808877 · Cited by 6,666
Alberts, B., Johnson, A., Lewis, J., Morgan, D., Raff, M., Roberts, K., & Walter, P. (2017) · W.W. Norton eBooks · doi:10.1201/9781315735368 · Cited by 6,365
An Introduction To Percolation Theory
Hughes, B. D. (1996) · Random Walks and Random Environments · doi:10.1093/oso/9780198537892.003.0002 · Cited by 1,731
Elasticity of Semiflexible Biopolymer Networks
MacKintosh, F. C., Käs, J., & Janmey, P. A. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.4425 · Cited by 1,068
Percolation and conductivity: A computer study. I
Pike, G. E., & Seager, C. H. (1974) · Physical Review B · doi:10.1103/physrevb.10.1421 · Cited by 1,031
Percolation Thresholds in the Three-Dimensional Sticks System
Balberg, I., Binenbaum, N., & Wagner, N. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.1465 · Cited by 483
Transport properties of continuum systems near the percolation threshold
Feng, S. C., Halperin, B. I., & Sen, P. N. (1987) · Physical review. B, Condensed matter · doi:10.1103/physrevb.35.197 · Cited by 464
Radial Distribution Function of Semiflexible Polymers
Wilhelm, J., & Frey, E. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.2581 · Cited by 306
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Cited by
Elastic Behavior of Cross-Linked and Bundled Actin Networks
Gardel, M. L., Shin, J. H., MacKintosh, F. C., Mahadevan, L., Matsudaira, P., & Weitz, D. A. (2004) · Science · doi:10.1126/science.1095087 · Cited by 1,256
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
Non-affine deformations in polymer hydrogels
Wen, Q., Basu, A., Janmey, P. A., & Yodh, A. G. (2012) · Soft Matter · doi:10.1039/c2sm25364j · Cited by 148
Metadata
- Authors
- Wilhelm, J., & Frey, E.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2003-09-05
- Volume
- 91
- Issue
- 10
- Pages
- 108103-108103
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2061308709
- Cited by
- 375
- References
- 13
- FWCI
- 8.35
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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