The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
Topological Analysis of Linear Polymer Melts: A Statistical Approach
Open accessAbstract
We introduce an algorithm for the reduction of a computer generated atomistic polymer sample to an entanglement network of primitive paths. These networks are structural representations of the topology underlying a polymer melt. By examining network ensembles of polyethylene and cis -1,4-polybutadiene melts, we provide topological measures and statistical properties of primitive paths. We present the radial distribution function of entanglements and the distribution of the number of monomers between entanglements. A renewal point process that generates entanglement events along the monomer sequence of a chain is found to describe the statistics of detected topological constraints. We discuss chain thickness effects on topological measures and provide a method for detecting persistent chain contacts in melt configurations. A suitable scaling of acquired data leads to a unifying microscopic topological description of the melts studied.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Viscoelastic Properties of Polymers
Ferry, J. D., & Myers, H. S. (1961) · Journal of The Electrochemical Society · doi:10.1149/1.2428174 · Cited by 13,487
Scaling concepts in polymer physics
Gordon, M. (1981) · Polymer · doi:10.1016/0032-3861(81)90183-x · Cited by 10,288
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
Fetters, L. J., Lohse, D. J., Richter, D., Witten, T. A., & Zirkel, A. (1994) · Macromolecules · doi:10.1021/ma00095a001 · Cited by 1,999
Rheology and microscopic topology of entangled polymeric liquids
Everaers, R., Sukumaran, S. K., Grest, G. S., Svaneborg, C., Sivasubramanian, A., & Kremer, K. (2004) · Science · doi:10.1126/science.1091215 · Cited by 832
Viscoelasticity and dynamics of entangled polymers
Watanabe, H. (1999) · Progress in Polymer Science · doi:10.1016/s0079-6700(99)00029-5 · Cited by 718
A deeply knotted protein structure and how it might fold
Taylor, W. R. (2000) · Nature · doi:10.1038/35022623 · Cited by 475
Kröger, M. (2005) · Computer Physics Communications · doi:10.1016/j.cpc.2005.01.020 · Cited by 459
Entanglement interactions in polymers and the chain contour concentration
Graessley, W. W., & Edwards, S. F. (1981) · Polymer · doi:10.1016/0032-3861(81)90231-7 · Cited by 397
The Physics of Glassy Polymers
(1997) · Springer eBooks · doi:10.1007/978-94-011-5850-3 · Cited by 372
Viscosity and self-diffusion coefficient of linear polyethylene
Pearson, D. S., Ver Strate, G., Von Meerwall, E., & Schilling, F. C. (1987) · Macromolecules · doi:10.1021/ma00171a044 · Cited by 310
Karayiannis, N. C., Mavrantzas, V. G., & Theodorou, D. N. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.105503 · Cited by 282
Self-citationKoniaris, K., & Muthukumar, M. (1991) · Physical Review Letters · doi:10.1103/physrevlett.66.2211 · Cited by 232
Harmandaris, V. A., Mavrantzas, V. G., Theodorou, D. N., Kröger, M., Ramírez, J., Öttinger, H. C., & Vlassopoulos, D. (2003) · Macromolecules · doi:10.1021/ma020009g · Cited by 222
Self-citationNew View of Entanglements in Dense Polymer Systems
Kavassalis, T. A., & Noolandi, J. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.2674 · Cited by 181
The theory of rubber elasticity
Edwards, S. F. (1977) · British Polymer Journal · doi:10.1002/pi.4980090209 · Cited by 149
Karayiannis, N. C., Giannousaki, A. E., Mavrantzas, V. G., & Theodorou, D. N. (2002) · The Journal of Chemical Physics · doi:10.1063/1.1499480 · Cited by 145
Self-citationBridging Time Scales: Molecular Simulations for the Next Decade
Nielaba, P., Mareschal, M., & Ciccotti, G. (2002) · Lecture notes in physics · doi:10.1007/3-540-45837-9 · Cited by 140
Entanglement molecular weight and frequency response of sliplink networks
Masubuchi, Y., Ianniruberto, G., Greco, F., & Marrucci, G. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1605382 · Cited by 133
On the origins of entanglement constraints
Richter, D., Farago, B., Butera, R., Fetters, L. J., Huang, J. S., & Ewen, B. (1993) · Macromolecules · doi:10.1021/ma00056a034 · Cited by 111
Bisphenol A Polycarbonate: Entanglement Analysis from Coarse-Grained MD Simulations
León, S., van der Vegt, N. F. A., Site, L. D., & Kremer, K. (2005) · Macromolecules · doi:10.1021/ma050943m · Cited by 103
Fluctuations in entanglements of polymer liquids
Schieber, J. D. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1553764 · Cited by 97
Chain Retraction Potential in a Fixed Entanglement Network
Shanbhag, S., & Larson, R. G. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.076001 · Cited by 92
Equilibrium partitioning of flexible macromolecules between bulk solution and cylindrical pores
Davidson, M. G., Suter, U. W., & Deen, W. M. (1987) · Macromolecules · doi:10.1021/ma00171a045 · Cited by 87
Statistics of the entanglement of polymers: Unentangled loops and primitive paths
Helfand, E., & Pearson, D. S. (1983) · The Journal of Chemical Physics · doi:10.1063/1.445989 · Cited by 86
Predicting the Tube Diameter in Melts and Solutions
Milner, S. T. (2005) · Macromolecules · doi:10.1021/ma0355507 · Cited by 78
Shanbhag, S., & Larson, R. G. (2006) · Macromolecules · doi:10.1021/ma052317v · Cited by 64
Effect of equilibration on primitive path analyses of entangled polymers
Hoy, R. S., & Robbins, M. O. (2005) · Physical Review E · doi:10.1103/physreve.72.061802 · Cited by 55
Gestoso, P., Nicol, E., Doxastakis, M., & Theodorou, D. N. (2003) · Macromolecules · doi:10.1021/ma034033l · Cited by 52
Self-citationAtomic structure of a high polymer melt
Uhlherr, A., Doxastakis, M., Mavrantzas, V. G., Theodorou, D. N., Leak, S. J., Adam, N. E., & Nyberg, P. E. (2002) · Europhysics Letters (EPL) · doi:10.1209/epl/i2002-00490-0 · Cited by 46
Self-citationProjection from an atomistic chain contour to its primitive path
Kröger, M., Ramı́rez, J., & Christian Öttinger, H. (2002) · Polymer · doi:10.1016/s0032-3861(01)00422-0 · Cited by 43
Computer simulation of the dynamics of star molecules
Needs, R. J., & Edwards, S. F. (1983) · Macromolecules · doi:10.1021/ma00243a015 · Cited by 42
Entanglement Network of the Polypropylene/Polyamide Interface. 3. Deformation to Fracture
Terzis, A., Theodorou, D. N., & Stroeks, A. (2001) · Macromolecules · doi:10.1021/ma010691z · Cited by 36
Self-citationEntanglements in quiescent and sheared polymer melts
Yamamoto, R., & Ōnuki, A. (2004) · Physical Review E · doi:10.1103/physreve.70.041801 · Cited by 31
New entanglement model of condensed linear polymers: localized Gauss integral model
Iwata, K., & Edwards, S. F. (1988) · Macromolecules · doi:10.1021/ma00187a047 · Cited by 30
Greco, F. (2004) · Macromolecules · doi:10.1021/ma048414q · Cited by 12
Research works printed but not linked: 26
- Rubinstein M., 1984, J. Chem. Phys., 82, 2483
- Termonia Y., 1991, Macromolecules, 24, 1133
- Benkoski J. J., 2002, Part B: Polym. Phys
- Meijer H. E. H., 2005, Prog. Pol. Sci., 30, 938
- Colby R. H., 1992, Macromolecules, 25, 998
- Lin Y. H., 1987, Macromolecules, 20, 3083, 10.1021/ma00178a025 · doi:10.1021/ma00178a025
- Fetters L. J., 1999, Part B: Polym. Phys
- Heynmans N., 2000, Macromolecules, 33, 4234
- McLeish T. C. B., 2002, Adv. Phys., 51, 1527
- Richter D., 2005, Adv. Polym. Sci., 174
- Kremer, 2004, Computational Soft Matter: From Synthetic Polymers to Proteins
- Padding J. T., 2004, J. Chem. Phys., 20, 3002
- Evans K. E., 1981, J. Chem. Soc., Faraday Trans. 2, 77, 1927
- Sukumaran S. K., 2005, Part B: Polym. Phys
- Theodorou D. N., 2006, To appear in Computer Simulations in Condensed Matter: From Materials to Chemical Biology
- Cox D. R., 1980, Point Processes
- Cox D. R., 1962, Renewal Theory
- Zhou Q., 2005, Macromolecules, 38, 5765
- Auhl R., 2003, J. Chem. Phys., 24, 12728
- Greco F., 2002, Phys. Rev. Lett., 88, 108301, 10.1103/PhysRevLett.88.108301 · doi:10.1103/physrevlett.88.108301
- des Cloizeaux J., 1993, J. Phys. I Fr., 3, 68
- Beltzung M., 1984, Macromolecules, 17, 669, 10.1021/ma00134a024 · doi:10.1021/ma00134a024
- Gao J., 1995, J. Chem. Phys., 103, 1626
- Ben-Naim E., 1996, Phys. Rev. E, 53, 1822
- Kremer K., 1990, J. Chem. Phys., 92, 5086
- Reidemeister K., 1927, Abh. Math. Sem. Univ. Hamburg, 5, 23
Cited by
Hoy, R. S., Foteinopoulou, K., & Kröger, M. (2009) · Physical Review E · doi:10.1103/physreve.80.031803 · Cited by 335
Challenges in Multiscale Modeling of Polymer Dynamics
Li, Y., Abberton, B., Kröger, M., & Liu, W. (2013) · Polymers · doi:10.3390/polym5020751 · Cited by 222
“introduced the Z1 code [281,287] and contour reduction topological analysis (CReTA) [283] methods, respectively, to minimize the total contour length rather than the elastic energy,”
MethodPrimitive path networks generated by annealing and geometrical Methods: insights into differences
Shanbhag, S., & Kröger, M. (2007) · Macromolecules · doi:10.1021/ma062457k · Cited by 217
Spyriouni, T., Tzoumanekas, C., Theodorou, D., Müller-Plathe, F., & Milano, G. (2007) · Macromolecules · doi:10.1021/ma0700983 · Cited by 204
Self-citationA predictive multiscale computational framework for viscoelastic properties of linear polymers
Li, Y., Tang, S., Abberton, B. C., Kröger, M., Burkhart, C., Jiang, B., Papakonstantopoulos, G. J., Poldneff, M., & Liu, W. K. (2012) · Polymer · doi:10.1016/j.polymer.2012.09.055 · Cited by 139
Metadata
- Authors
- Tzoumanekas, C., & Theodorou, D. N.
- Venue
- Macromolecules
- Publisher
- American Chemical Society (ACS)
- Published
- 2006-05-25
- Volume
- 39
- Issue
- 13
- Pages
- 4592-4604
- ISSN
- 0024-9297 (ISSN-L)
- 1520-5835
- OpenAlex
- W2002952493
- Cited by
- 306
- References
- 36
- FWCI
- 16.96
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.