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The statistical mechanics of polymers with excluded volume
Abstract
The probability distribution of the configurations of a polymer consisting of freely hinged links of length l and excluded volume v is studied. It is shown that the interaction of the polymer with itself can be represented by considering the polymer under the influence of a self-consistent field which reduces the problem to an equation like the Hartree equation for an atom. This can be solved asymptotically, giving the probability of the n th link of the polymer passing through the point r to be ( L )exp[-27{ r -(5/3) 3/5 ( v /3π l ) 1/5 L 3/5 } 2 (1/20 Ll )] where L = nl is the length along the polymer and ( L ) the normalization. Thus the mean square of r , r 2 , is (5/3) 6/5 ( v /3π l ) 2/5 L 6/5 . The theory is extended to polymers of finite length, to the excluded random walk problem and to n dimensions.
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Citations
Cited by
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Daoud, M., & De Gennes, P. G. (1977) · Journal de Physique · doi:10.1051/jphys:0197700380108500 · Cited by 561
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Edwards, S. F., & Vilgis, T. A. (1988) · Reports on Progress in Physics · doi:10.1088/0034-4885/51/2/003 · Cited by 384
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Honeycutt, J. D., & Thirumalai, D. (1992) · Biopolymers · doi:10.1002/bip.360320610 · Cited by 360
Betancourt, M. R., & Thirumalai, D. (1999) · Protein Science · doi:10.1110/ps.8.2.361 · Cited by 339
Metadata
- Authors
- Edwards, S. F.
- Venue
- Proceedings of the Physical Society
- Publisher
- IOP Publishing
- Published
- 1965-04
- Volume
- 85
- Issue
- 4
- Pages
- 613-624
- ISSN
- 0370-1328 (ISSN-L)
- OpenAlex
- W2113404900
- Cited by
- 1,355
- References
- 0
- FWCI
- 6.85
- Type
- journal article
- Language
- en
- Open access
- closed
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- Edwards, S. F. (1965). The statistical mechanics of polymers with excluded volume. Proceedings of the Physical Society. https://doi.org/10.1088/0370-1328/85/4/301
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