The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Discretized model of entangled-polymer dynamics
Abstract
A discretized version of the reptation model is proposed. The tube is modeled by a one-dimensional lattice and the polymer is modeled by a cluster of walkers, called reptons, on this lattice. Each repton represents a part of the chain. Reptons are allowed to hop between neighboring sites, but the cluster always remains connected. This model is solved analytically and numerically. In the experimentally accessible range of molecular weights M it predicts the diffusion coefficient D\ensuremath{\sim}${\mathrm{M}}^{\mathrm{\ensuremath{-}}2}$+O(${\mathrm{M}}^{\mathrm{\ensuremath{-}}3}$) and viscosity ${\mathrm{\ensuremath{\eta}}}_{0}$\ensuremath{\sim}${\mathrm{M}}^{3.4\ifmmode\pm\else\textpm\fi{}0.1}$. .AE
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Citations
Cites
Explanation for the 3. 4-power law for viscosity of polymeric liquids on the basis of the tube model
Doi, M. (1983) · Journal of Polymer Science: Polymer Physics Edition · doi:10.1002/pol.1983.180210501 · Cited by 369
Rheology of star polymers in concentrated solutions and melts
Doi, M., & Kuzuu, N. Y. (1980) · Journal of Polymer Science: Polymer Letters Edition · doi:10.1002/pol.1980.130181205 · Cited by 170
Cited by
Dynamics of entangled linear polymer melts: A molecular-dynamics simulation
Kremer, K., & Grest, G. S. (1990) · The Journal of Chemical Physics · doi:10.1063/1.458541 · Cited by 4,023
Reptation and contour-length fluctuations in melts of linear polymers
Milner, S. T., & McLeish, T. C. B. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.725 · Cited by 451
Exactly Solvable Models for Many-Body Systems Far from Equilibrium
(2001) · Phase Transitions and Critical Phenomena · doi:10.1016/s1062-7901(01)80015-x · Cited by 451
Dynamics of polymer solutions and melts. Reptation predictions and scaling of relaxation times
Paul, W., Binder, K., Heermann, D. W., & Kremer, K. (1991) · The Journal of Chemical Physics · doi:10.1063/1.461346 · Cited by 318
Dynamics of Entangled H-Polymers: Theory, Rheology, and Neutron-Scattering
McLeish, T. C. B., Allgaier, J., Bick, D. K., Bishko, G., Biswas, P., Blackwell, R., Blottière, B., Clarke, N., Gibbs, B., Groves, D. J., et al. (1999) · Macromolecules · doi:10.1021/ma990323j · Cited by 290
Metadata
- Authors
- Rubinstein, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1987-10-26
- Volume
- 59
- Issue
- 17
- Pages
- 1946-1949
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1987968602
- Cited by
- 240
- References
- 2
- FWCI
- 8.18
- 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.