Topological constraints on polymer rings and critical indices
J. Phys. France, 40 7 (1979) 665-670
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Factoring the Laplacian to understand topological polymers
Jason Cantarella, Tetsuo Deguchi, Clayton Shonkwiler and Erica UeharaEurophysics Letters 152 (1) 12001 (2025)
https://doi.org/10.1209/0295-5075/ae082a
A faster direct sampling algorithm for equilateral closed polygons and the probability of knotting
Jason Cantarella, Henrik Schumacher and Clayton ShonkwilerJournal of Physics A: Mathematical and Theoretical 57 (28) 285205 (2024)
https://doi.org/10.1088/1751-8121/ad54a8
Predicting the Rheology of Linear/Ring Polymer Blends from the Polymorphism of Ring Components
Zhi-Chao Yan and Wei WangMacromolecules 57 (9) 4236 (2024)
https://doi.org/10.1021/acs.macromol.3c02382
Effect of threading on static and dynamic properties of polymer chains in entangled linear-ring blend systems with different stiffness
Wei Wang, Jibao Lu and Rong SunPolymer 290 126513 (2024)
https://doi.org/10.1016/j.polymer.2023.126513
Topological Interaction among Molecular Cluster Assemblies Affords Tunable Viscoelasticity
Xin Zhou, Junsheng Yang, Jie Yang and Panchao YinThe Journal of Physical Chemistry Letters 13 (30) 7009 (2022)
https://doi.org/10.1021/acs.jpclett.2c01817
Knot spectrum of turbulence
R. G. Cooper, M. Mesgarnezhad, A. W. Baggaley and C. F. BarenghiScientific Reports 9 (1) (2019)
https://doi.org/10.1038/s41598-019-47103-w
Helicity and topology of a small region of quantum vorticity
M Mesgarnezhad, R G Cooper, A W Baggaley and C F BarenghiFluid Dynamics Research 50 (1) 011403 (2018)
https://doi.org/10.1088/1873-7005/aa694f
Analysis of Quantised Vortex Tangle
Alexander John TaylorSpringer Theses, Analysis of Quantised Vortex Tangle 109 (2017)
https://doi.org/10.1007/978-3-319-48556-0_4
Linking of Ring Polymers in Slit-Like Confinement
G. D’Adamo, E. Orlandini and C. MichelettiMacromolecules 50 (4) 1713 (2017)
https://doi.org/10.1021/acs.macromol.6b02293
Statistical and Dynamical Properties of Topological Polymers with Graphs and Ring Polymers with Knots
Tetsuo Deguchi and Erica UeharaPolymers 9 (12) 252 (2017)
https://doi.org/10.3390/polym9070252
Analysis of Quantised Vortex Tangle
Alexander John TaylorSpringer Theses, Analysis of Quantised Vortex Tangle 143 (2017)
https://doi.org/10.1007/978-3-319-48556-0_5
Models of random knots
Chaim Even-ZoharJournal of Applied and Computational Topology 1 (2) 263 (2017)
https://doi.org/10.1007/s41468-017-0007-8
Analysis of Quantised Vortex Tangle
Alexander John TaylorSpringer Theses, Analysis of Quantised Vortex Tangle 1 (2017)
https://doi.org/10.1007/978-3-319-48556-0_1
A study of polymer knots using a simple knot invariant consisting of multiple contour integrals
Yani Zhao and Franco FerrariJournal of Statistical Mechanics: Theory and Experiment 2013 (10) P10010 (2013)
https://doi.org/10.1088/1742-5468/2013/10/P10010
Concentration Dependence of Ring Polymer Conformations from Monte Carlo Simulations
Shang Yik Reigh and Do Y. YoonACS Macro Letters 2 (4) 296 (2013)
https://doi.org/10.1021/mz300587v
Effect of knotting on polymer shapes and their enveloping ellipsoids
Kenneth C. Millett, Patrick Plunkett, Michael Piatek, Eric J. Rawdon and Andrzej StasiakThe Journal of Chemical Physics 130 (16) (2009)
https://doi.org/10.1063/1.3117923
Simulation of DNA catenanes
Alexander Vologodskii and Valentin V. RybenkovPhysical Chemistry Chemical Physics 11 (45) 10543 (2009)
https://doi.org/10.1039/b910812b
Lectures on Topological Fluid Mechanics
De Witt SumnersLecture Notes in Mathematics, Lectures on Topological Fluid Mechanics 1973 187 (2009)
https://doi.org/10.1007/978-3-642-00837-5_7
Ropelengths of closed braids
Yuanan Diao and Claus ErnstTopology and its Applications 154 (2) 491 (2007)
https://doi.org/10.1016/j.topol.2006.07.003
Statistical topology of closed curves: Some applications in polymer physics
E. Orlandini and S. G. WhittingtonReviews of Modern Physics 79 (2) 611 (2007)
https://doi.org/10.1103/RevModPhys.79.611
Total curvature, ropelength and crossing number of thick knots
Y. DIAO and C. ERNSTMathematical Proceedings of the Cambridge Philosophical Society 143 (1) 41 (2007)
https://doi.org/10.1017/S0305004107000151
Efficient knot group identification as a tool for studying entanglements of polymers
Marc L. MansfieldThe Journal of Chemical Physics 127 (24) (2007)
https://doi.org/10.1063/1.2806928
Topology in Molecular Biology
A. VologodskiiBiological and Medical Physics, Biomedical Engineering, Topology in Molecular Biology 23 (2007)
https://doi.org/10.1007/978-3-540-49858-2_3
Single molecular statistics of an optically tweezed polymer: A theoretical consideration
Kyoko Kawai and Ko OkumuraChemical Physics Letters 439 (4-6) 369 (2007)
https://doi.org/10.1016/j.cplett.2007.03.080
Self-organization of vortex-length distribution in quantum turbulence: An approach based on the Barabási-Albert model
Akira Mitani and Makoto TsubotaPhysical Review B 74 (2) (2006)
https://doi.org/10.1103/PhysRevB.74.024526
Scattering functions of knotted ring polymers
Miyuki K. Shimamura, Kumiko Kamata, Akihisa Yao and Tetsuo DeguchiPhysical Review E 72 (4) (2005)
https://doi.org/10.1103/PhysRevE.72.041804
Distribution of the distance between opposite nodes of random polygons with a fixed knot
Akihisa Yao, Hiroshi Tsukahara, Tetsuo Deguchi and Takeo InamiJournal of Physics A: Mathematical and General 37 (33) 7993 (2004)
https://doi.org/10.1088/0305-4470/37/33/002
Average size of random polygons with fixed knot topology
Hiroshi Matsuda, Akihisa Yao, Hiroshi Tsukahara, et al.Physical Review E 68 (1) (2003)
https://doi.org/10.1103/PhysRevE.68.011102
The statistical mechanics of topological polymers: a field theorist point of view
Franco FerrariAnnalen der Physik 514 (4) 255 (2002)
https://doi.org/10.1002/andp.20025140401
The statistical mechanics of topological polymers: a field theorist point of view
Franco FerrariAnnalen der Physik 11 (4) 255 (2002)
https://doi.org/10.1002/1521-3889(200204)11:4<255::AID-ANDP255>3.0.CO;2-A
Finite-size and asymptotic behaviors of the gyration radius of knotted cylindrical self-avoiding polygons
Miyuki K. Shimamura and Tetsuo DeguchiPhysical Review E 65 (5) (2002)
https://doi.org/10.1103/PhysRevE.65.051802
Knot complexity and the probability of random knotting
Miyuki K. Shimamura and Tetsuo DeguchiPhysical Review E 66 (4) (2002)
https://doi.org/10.1103/PhysRevE.66.040801
Anomalous finite-size effects for the mean-squared gyration radius of Gaussian random knots
Miyuki K Shimamura and Tetsuo DeguchiJournal of Physics A: Mathematical and General 35 (18) L241 (2002)
https://doi.org/10.1088/0305-4470/35/18/102
Global Knotting in Equilateral Random Polygons
Y. Diao, J. C. Nardo and Y. SunJournal of Knot Theory and Its Ramifications 10 (04) 597 (2001)
https://doi.org/10.1142/S0218216501001025
On the dominance of trivial knots among SAPs on a cubic lattice
Akihisa Yao, Hiroshi Matsuda, Hiroshi Tsukahara, Miyuki K Shimamura and Tetsuo DeguchiJournal of Physics A: Mathematical and General 34 (37) 7563 (2001)
https://doi.org/10.1088/0305-4470/34/37/310
Topological Entropy of a Stiff Ring Polymer and Its Connection to DNA Knots
Miyuki K. Shimamura and Tetsuo DeguchiJournal of the Physical Society of Japan 70 (6) 1523 (2001)
https://doi.org/10.1143/JPSJ.70.1523
Gyration radius of a circular polymer under a topological constraint with excluded volume
Miyuki K. Shimamura and Tetsuo DeguchiPhysical Review E 64 (2) (2001)
https://doi.org/10.1103/PhysRevE.64.020801
Characteristic length of random knotting for cylindrical self-avoiding polygons
Miyuki K. Shimamura and Tetsuo DeguchiPhysics Letters A 274 (5-6) 184 (2000)
https://doi.org/10.1016/S0375-9601(00)00545-4
Osmotic pressure of ring polymer solutions: A Monte Carlo study
Edwin Flikkema and Gerrit ten BrinkeThe Journal of Chemical Physics 113 (24) 11393 (2000)
https://doi.org/10.1063/1.1326908
Equilibrium distributions of topological states in circular DNA: Interplay of supercoiling and knotting
Alexei A. Podtelezhnikov, Nicholas R. Cozzarelli and Alexander V. VologodskiiProceedings of the National Academy of Sciences 96 (23) 12974 (1999)
https://doi.org/10.1073/pnas.96.23.12974
Universality of random knotting
Tetsuo Deguchi and Kyoichi TsurusakiPhysical Review E 55 (5) 6245 (1997)
https://doi.org/10.1103/PhysRevE.55.6245
Topological effects in ring polymers: A computer simulation study
M. Müller, J. P. Wittmer and M. E. CatesPhysical Review E 53 (5) 5063 (1996)
https://doi.org/10.1103/PhysRevE.53.5063
Polymer solutions under elongational flow: 2. An evaluation of models of polymer dynamics for transient and stagnation point flows
D. Hunkeler, T.Q. Nguyen and H.H. KauschPolymer 37 (19) 4271 (1996)
https://doi.org/10.1016/0032-3861(96)00187-5
Diffusion and Scaling Behavior of Polymer-Surfactant Aggregates
Krishnan Chari, Brian Antalek and John MinterPhysical Review Letters 74 (18) 3624 (1995)
https://doi.org/10.1103/PhysRevLett.74.3624
Fractions of Particular Knots in Gaussian Random Polygons
Kyoichi Tsurusaki and Tetsuo DeguchiJournal of the Physical Society of Japan 64 (5) 1506 (1995)
https://doi.org/10.1143/JPSJ.64.1506
Topology, gauge fields and the statistical mechanics of a melt of polymer rings
M.G. BreretonJournal of Molecular Structure: THEOCHEM 336 (2-3) 191 (1995)
https://doi.org/10.1016/0166-1280(94)04077-6
A new algorithm for numerical calculation of link invariants
Tetsuo Deguchi and Kyoichi TsurusakiPhysics Letters A 174 (1-2) 29 (1993)
https://doi.org/10.1016/0375-9601(93)90537-A
Topology of Closed Random Polygons
Tetsuo Deguchi and Kyoichi TsurusakiJournal of the Physical Society of Japan 62 (5) 1411 (1993)
https://doi.org/10.1143/JPSJ.62.1411
DNA Structures Part A: Synthesis and Physical Analysis of DNA
Alexander V. Vologodskii and Maxim D. Frank-KamenetskiiMethods in Enzymology, DNA Structures Part A: Synthesis and Physical Analysis of DNA 211 467 (1992)
https://doi.org/10.1016/0076-6879(92)11025-E
Knottedness in ring polymers
Kleanthes Koniaris and M. MuthukumarPhysical Review Letters 66 (17) 2211 (1991)
https://doi.org/10.1103/PhysRevLett.66.2211
Self-entanglement in ring polymers
Kleanthes Koniaris and M. MuthukumarThe Journal of Chemical Physics 95 (4) 2873 (1991)
https://doi.org/10.1063/1.460889
Dilute Polymer Solutions: Internal Viscosity, Dynamic Scaling, Shear Thinning and Frequency-Dependent Viscosity
Y Rabin and H. C ÖttingerEurophysics Letters (EPL) 13 (5) 423 (1990)
https://doi.org/10.1209/0295-5075/13/5/008
Characterization of Poly(N-isopropylmethacrylamide) in Water
Kenji Kubota, Kenzi Hamano, Nobuhiro Kuwahara, Shouei Fujishige and Isao AndoPolymer Journal 22 (12) 1051 (1990)
https://doi.org/10.1295/polymj.22.1051
Comprehensive Polymer Science and Supplements
M. Muthukumar and S.F. EdwardsComprehensive Polymer Science and Supplements 1 (1989)
https://doi.org/10.1016/B978-0-08-096701-1.00038-0
Knots in random walks
Nicholas PippengerDiscrete Applied Mathematics 25 (3) 273 (1989)
https://doi.org/10.1016/0166-218X(89)90005-X
Knots in self-avoiding walks
D W Sumners and S G WhittingtonJournal of Physics A: Mathematical and General 21 (7) 1689 (1988)
https://doi.org/10.1088/0305-4470/21/7/030
Conformation of ring polymers in computer simulated melts
Stefan Geyler and Tadeusz PakulaDie Makromolekulare Chemie, Rapid Communications 9 (9) 617 (1988)
https://doi.org/10.1002/marc.1988.030090904
Integration of Fundamental Polymer Science and Technology—2
G. Ten BrinkeIntegration of Fundamental Polymer Science and Technology—2 121 (1988)
https://doi.org/10.1007/978-94-009-1361-5_17
Effect of Excluded Volume on Topological Properties of Circular DNA
K. V. Klenin, A. V. Vologodskii, V. V. Anshelevich, A. M. Dykhne and M. D. Frank-KamenetskiiJournal of Biomolecular Structure and Dynamics 5 (6) 1173 (1988)
https://doi.org/10.1080/07391102.1988.10506462
Topological characteristics of circular DNA: excluded volume effects
K. V. Klenin, A. V. Vologodskii, V. V. Anshelevich, A. M. Dykhne and M. D. Frank-KamenetskiiBiopolymers and Cell 4 (2) 85 (1988)
https://doi.org/10.7124/bc.000216
Polymer Physics
G. Heinrich, E. Straube and G. HelmisAdvances in Polymer Science, Polymer Physics 85 33 (1988)
https://doi.org/10.1007/BFb0024050
A topological problem in polymer physics: configurational and mechanical properties of a random walk enclosing a constant are
M G Brereton and C ButlerJournal of Physics A: Mathematical and General 20 (12) 3955 (1987)
https://doi.org/10.1088/0305-4470/20/12/040
Conjectures on the statistics of ring polymers
M.E. Cates and J.M. DeutschJournal de Physique 47 (12) 2121 (1986)
https://doi.org/10.1051/jphys:0198600470120212100
The shape of ring polymers
Marvin Bishop and J. P. J. MichelsThe Journal of Chemical Physics 82 (2) 1059 (1985)
https://doi.org/10.1063/1.448949
A unified model for the structure of polymers in semidilute solution
Dale W SchaeferPolymer 25 (3) 387 (1984)
https://doi.org/10.1016/0032-3861(84)90292-1
A direct renormalization group study of loops in polymers
Fereydoon FamilyPhysics Letters A 92 (7) 341 (1982)
https://doi.org/10.1016/0375-9601(82)90905-7
Probability of knots in a polymer ring
J.P.J. Michels and F.W. WiegelPhysics Letters A 90 (7) 381 (1982)
https://doi.org/10.1016/0375-9601(82)90636-3
Statistics of self-avoiding ring polymers
A. BaumgärtnerThe Journal of Chemical Physics 76 (8) 4275 (1982)
https://doi.org/10.1063/1.443476
Path integrals with topological constraints: Aharonov-Bohm effect and polymer entanglements
F.W. WiegelPhysica A: Statistical Mechanics and its Applications 109 (3) 609 (1981)
https://doi.org/10.1016/0378-4371(81)90016-9
Ring polymers in solution : topological effects
J. des CloizeauxJournal de Physique Lettres 42 (19) 433 (1981)
https://doi.org/10.1051/jphyslet:019810042019043300
A gauge description of topological entanglements in polymers
M G Brereton and S ShahJournal of Physics A: Mathematical and General 13 (8) 2751 (1980)
https://doi.org/10.1088/0305-4470/13/8/023
Collapse of one polymer coil in a mixture of solvents
F. Brochard and P.G. De GennesFerroelectrics 30 (1) 33 (1980)
https://doi.org/10.1080/00150198008209484
Recent Developments in Gauge Theories
Gérard ToulouseRecent Developments in Gauge Theories 331 (1980)
https://doi.org/10.1007/978-1-4684-7571-5_19