Scaling Concepts in Polymer Physics
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The inner segments of the chain behave like a random walk inside the tube.
“The inner segments of the chain behave like a random walk inside the tube [5].”
From Challenges in Multiscale Modeling of Polymer Dynamics (2013) · cites this paper as [5]
From the tube theory, Dcm ∼ N−2 and η0 ∼ N3, which agree reasonably well with experimental observations.
“From the tube theory [5,6], D cm ∼ N -2 and η 0 ∼ N 3 , which agree reasonably well with the experimental observations.”
From Challenges in Multiscale Modeling of Polymer Dynamics (2013) · cites this paper as [5]
The dynamic scattering factor S(q) of highly entangled polymer chains (N = 10,000) can be well characterized by the tube model.
“Pütz et al. [105] studied the dynamic scattering factor, S(q), of entangled polymer chains and found that the S(q) of highly entangled polymer chains (N = 10, 000) can be well characterized by the tube model [5,107].”
From Challenges in Multiscale Modeling of Polymer Dynamics (2013) · cites this paper as [5]
The motion of the PP makes the primary contribution to the rheological properties of entangled polymer melts.
“From the tube model [5,6], it is known that the motion of the PP makes the primary contribution to the rheological properties of entangled polymer melts.”
From Challenges in Multiscale Modeling of Polymer Dynamics (2013) · cites this paper as [5]
These so-called entanglements in the TWENTANGLEMENT algorithm are not the classical entanglements introduced within the tube model.
“Here, we should emphasize that these so-called”
From Challenges in Multiscale Modeling of Polymer Dynamics (2013) · cites this paper as [5]
Cited by
Sorted by citations
Comprehensive Mapping of Long-Range Interactions Reveals Folding Principles of the Human Genome
Lieberman-Aiden, E., van Berkum, N. L., Williams, L., Imakaev, M., Ragoczy, T., Telling, A., Amit, I., Lajoie, B. R., Sabo, P. J., Dorschner, M. O., et al. (2009) · Science · doi:10.1126/science.1181369 · Cited by 8,898 · see citing works
Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications
Bouchaud, J.-P., & Georges, A. (1990) · Physics Reports · doi:10.1016/0370-1573(90)90099-n · Cited by 4,162 · see citing works
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 · see citing works
Pääkkö, M., Ankerfors, M., Kosonen, H., Nykänen, A., Ahola, S., Österberg, M., Ruokolainen, J., Laine, J., Larsson, P. T., Ikkala, O., et al. (2007) · Biomacromolecules · doi:10.1021/bm061215p · Cited by 1,962 · see citing works
Protein—surface interactions in the presence of polyethylene oxide
Jeon, S. I., Lee, J. H., Andrade, J. D., & De Gennes, P. G. (1991) · Journal of Colloid and Interface Science · doi:10.1016/0021-9797(91)90043-8 · Cited by 1,523 · see citing works
Self-citationDeriving effective mesoscale potentials from atomistic simulations
Reith, D., Pütz, M., & Müller‐Plathe, F. (2003) · Journal of Computational Chemistry · doi:10.1002/jcc.10307 · Cited by 1,314 · see citing works
Fracture and adhesion of soft materials: a review
Creton, C., & Ciccotti, M. (2016) · Reports on Progress in Physics · doi:10.1088/0034-4885/79/4/046601 · Cited by 915 · see citing works
Lubrication by charged polymers
Raviv, U., Giasson, S., Kampf, N., Gohy, J.-F., Jérôme, R., & Klein, J. (2003) · Nature · doi:10.1038/nature01970 · Cited by 910 · see citing works
Tube theory of entangled polymer dynamics
McLeish, T. C. B. (2002) · Advances in Physics · doi:10.1080/00018730210153216 · Cited by 905 · see citing works
Reduction of frictional forces between solid surfaces bearing polymer brushes
Klein, J., Kumacheva, E., Mahalu, D., Perahia, D., & Fetters, L. J. (1994) · Nature · doi:10.1038/370634a0 · Cited by 615 · see citing works
Cellulose-based hydrogel materials: chemistry, properties and their prospective applications
Kabir, S. M. F., Sikdar, P. P., Haque, B., Bhuiyan, M. A. R., Ali, A., & Islam, M. N. (2018) · Progress in Biomaterials · doi:10.1007/s40204-018-0095-0 · Cited by 565 · see citing works
Elasticity of polymer networks
Rubinstein, M., & Panyukov, S. (2002) · Macromolecules · doi:10.1021/ma0203849 · Cited by 566 · see citing works
Self-organization of domain structures by DNA-loop-extruding enzymes
Alipour, E., & Marko, J. F. (2012) · Nucleic Acids Research · doi:10.1093/nar/gks925 · Cited by 540 · see citing works
The effect of entanglements in rubber elasticity
Edwards, S. F., & Vilgis, T. (1986) · Polymer · doi:10.1016/0032-3861(86)90231-4 · Cited by 460 · see citing works
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 · see citing works
The nature of folded states of globular proteins
Honeycutt, J. D., & Thirumalai, D. (1992) · Biopolymers · doi:10.1002/bip.360320610 · Cited by 360 · see citing works
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 · see citing works
Simple models for complex nonequilibrium fluids
KROGER, M. (2004) · Physics Reports · doi:10.1016/j.physrep.2003.10.014 · Cited by 302 · see citing works
Heteropolymer freezing and design: Towards physical models of protein folding
Pande, V. S., Grosberg, A. Y., & Tanaka, T. (2000) · Reviews of Modern Physics · doi:10.1103/revmodphys.72.259 · Cited by 284 · see citing works
Nanocomposites of Chitin Whiskers from <i>Riftia</i> Tubes and Poly(caprolactone)
Morin, A., & Dufresne, A. (2002) · Macromolecules · doi:10.1021/ma011493a · Cited by 287 · see citing works
Polysaccharide Microcrystals Reinforced Amorphous Poly(β-hydroxyoctanoate) Nanocomposite Materials
Dubief, D., Samain, E., & Dufresne, A. (1999) · Macromolecules · doi:10.1021/ma990274a · Cited by 259 · see citing works
What is the entanglement length in a polymer melt?
Pütz, M., Kremer, K., & Grest, G. S. (2000) · Europhysics Letters (EPL) · doi:10.1209/epl/i2000-00212-8 · Cited by 235 · see citing works
Challenges in Multiscale Modeling of Polymer Dynamics
Li, Y., Abberton, B., Kröger, M., & Liu, W. (2013) · Polymers · doi:10.3390/polym5020751 · Cited by 222 · see citing works
“According to the tube model [5,6], assumed to describe the motion of these free chains, the viscous Cauchy stress can be formulated as [32]:”
BackgroundInfluentialActin Cytoskeleton as the Principal Determinant of Size-dependent DNA Mobility in Cytoplasm
Dauty, E., & Verkman, A. S. (2005) · Journal of Biological Chemistry · doi:10.1074/jbc.m412374200 · Cited by 215 · see citing works
Property modeling across transition temperatures in polymers: a robust stiffness–temperature model
Mahieux, C. A., & Reifsnider, K. L. (2001) · Polymer · doi:10.1016/s0032-3861(00)00614-5 · Cited by 198 · see citing works
Dufresne, A., Cavaillé, J., & Helbert, W. (1997) · Polymer Composites · doi:10.1002/pc.10274 · Cited by 189 · see citing works
Ruas-Madiedo, P., Tuinier, R., Kanning, M., & Zoon, P. (2002) · International Dairy Journal · doi:10.1016/s0958-6946(01)00161-3 · Cited by 152 · see citing works
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 · see citing works
A 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 · see citing works
A general-purpose coarse-grained molecular dynamics program
Aoyagi, T., Sawa, F., Shoji, T., Fukunaga, H., Takimoto, J.-I., & Doi, M. (2002) · Computer Physics Communications · doi:10.1016/s0010-4655(02)00271-0 · Cited by 138 · see citing works
From many monomers to many polymers: Soft ellipsoid model for polymer melts and mixtures
Murat, M., & Kremer, K. (1998) · The Journal of Chemical Physics · doi:10.1063/1.475835 · Cited by 138 · see citing works
Describing sequence–ensemble relationships for intrinsically disordered proteins
Mao, A. H., Lyle, N., & Pappu, R. V. (2013) · Biochemical Journal · doi:10.1042/bj20121346 · Cited by 135 · see citing works
Hidalgo, G., Burns, A., Herz, E., Hay, A. G., Houston, P. L., Wiesner, U., & Lion, L. W. (2009) · Applied and Environmental Microbiology · doi:10.1128/aem.01220-09 · Cited by 127 · see citing works
Dynamics of polymer chains confined into tubes: Scaling theory and Monte Carlo simulations
Kremer, K., & Binder, K. (1984) · The Journal of Chemical Physics · doi:10.1063/1.447549 · Cited by 130 · see citing works
Normal and Frictional Forces between Surfaces Bearing Polyelectrolyte Brushes
Raviv, U., Giasson, S., Kampf, N., Gohy, J.-F., Jérôme, R., & Klein, J. (2008) · Langmuir · doi:10.1021/la7039724 · Cited by 106 · see citing works
Free energy evaluation in field-theoretic polymer simulations
Lennon, E. M., Katsov, K., & Fredrickson, G. H. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.138302 · Cited by 103 · see citing works
Shear and Frictional Interactions between Adsorbed Polymer Layers in a Good Solvent
Raviv, U., Tadmor, R., & Klein, J. (2001) · The Journal of Physical Chemistry B · doi:10.1021/jp0041860 · Cited by 103 · see citing works
Kurz, R., Schulz, M., Scheliga, F., Men, Y., Seidlitz, A., Thurn-Albrecht, T., & Saalwächter, K. (2018) · Macromolecules · doi:10.1021/acs.macromol.8b00809 · Cited by 86 · see citing works
Structure, dimensions, and entanglement statistics of long linear polyethylene chains
Foteinopoulou, K., Karayiannis, N. C., Laso, M., & Kröger, M. (2009) · The Journal of Physical Chemistry B · doi:10.1021/jp808287s · Cited by 74 · see citing works
Primitive chain network study on uncrosslinked and crosslinked cis-polyisoprene polymers
Li, Y., Kröger, M., & Liu, W. K. (2011) · Polymer · doi:10.1016/j.polymer.2011.10.044 · Cited by 70 · see citing works
First-principle approach to rescale the dynamics of simulated coarse-grained macromolecular liquids
Lyubimov, I., & Guenza, M. G. (2011) · Physical Review E · doi:10.1103/physreve.84.031801 · Cited by 66 · see citing works
Rheology of self-nucleated poly(ɛ-caprolactone) melts
Sangroniz, L., Barbieri, F., Cavallo, D., Santamaria, A., Alamo, R. G., & Müller, A. J. (2018) · European Polymer Journal · doi:10.1016/j.eurpolymj.2018.01.009 · Cited by 63 · see citing works
Fu, J., Ghali, B. W., Lozynsky, A. J., Oral, E., & Muratoglu, O. K. (2011) · Polymer · doi:10.1016/j.polymer.2011.01.017 · Cited by 40 · see citing works
Wittmer, J. P., Cavallo, A., Xu, H., Zabel, J. E., Polińska, P., Schulmann, N., Meyer, H., Farago, J., Johner, A., Obukhov, S. P., et al. (2011) · Journal of Statistical Physics · doi:10.1007/s10955-011-0354-0 · Cited by 38 · see citing works
Multiscale modeling of coarse-grained macromolecular liquids
McCarty, J., Lyubimov, I. Y., & Guenza, M. G. (2009) · The Journal of Physical Chemistry B · doi:10.1021/jp905071w · Cited by 36 · see citing works
“For example, in the simplest and most conventional description of the polymer local structure, inter- and intra-molecular forces balance each other leading to an unperturbed polymer chain statistics at any lengthscale.(3) However, simulations show that on the local scale entropic effects and chain connectivity produce…”
BackgroundX-ray scattering in polymers and micelles
Fairclough, J. P. A., Hamley, I. W., & Terrill, N. J. (1999) · Radiation Physics and Chemistry · doi:10.1016/s0969-806x(99)00279-0 · Cited by 32 · see citing works
A new coarse grained particle-to-mesh scheme for modeling soft matter
Zhang, G., Daoulas, K. C., & Kremer, K. (2013) · Macromolecular Chemistry and Physics · doi:10.1002/macp.201200520 · Cited by 32 · see citing works
Parallel random number generator for inexpensive configurable hardware cells
Ackermann, J., Tangen, U., Bödekker, B., Breyer, J., Stoll, E., & McCaskill, J. S. (2001) · Computer Physics Communications · doi:10.1016/s0010-4655(01)00242-9 · Cited by 21 · see citing works
Multiscale modeling of binary polymer mixtures: Scale bridging in the athermal and thermal regime
McCarty, J., & Guenza, M. G. (2010) · The Journal of Chemical Physics · doi:10.1063/1.3483236 · Cited by 14 · see citing works
- Authors
- de Gennes, P. G., & Witten, T. A.
- Affiliations
- University of Michigan (US)
- ORCID
- Witten, Thomas A.
- Venue
- Physics Today
- Publisher
- AIP Publishing
- Published
- 1980-06-01
- Volume
- 33
- Issue
- 6
- Pages
- 51-54
- ISSN
- 0031-9228 (ISSN-L)
- 1945-0699
- OpenAlex
- W2097246107
- Cited by
- 9,348
- References
- 0
- Citations by year
- 2026: 11 · 2025: 8 · 2024: 14 · 2023: 7 · 2022: 11 · 2021: 128 · 2020: 124 · 2019: 156 · 2018: 126 · 2017: 125 · 2016: 158 · 2015: 179 · 2014: 258 · 2013: 246 · 2012: 271
- Type
- book review
- Language
- en
- Open access
- closed
- Locations
- Physics Today (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Physical Sciences › Materials Science › Materials Chemistry › Material Dynamics and Properties
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Advanced Physical and Chemical Molecular Interactions
- Keywords
- scaling laws, polymer physics, chain conformation, critical phenomena, polymer solutions, self-avoiding walks
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