1994
DOI: 10.1103/physrevlett.73.1263
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Dynamics of a Ring Polymer in a Gel

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Cited by 220 publications
(354 citation statements)
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“…S1-S3), confirming the general tendency [7,42] of rings to relax faster than linear chains of the same size. At the same time, we provide previously unreported evidence that dispersed colloid particles of linear size exceeding the nominal mesh size of the solution show the tendency to diffuse more rapidly in ring polymers solutions than in linear polymers ones.…”
Section: Discussionsupporting
confidence: 67%
See 1 more Smart Citation
“…S1-S3), confirming the general tendency [7,42] of rings to relax faster than linear chains of the same size. At the same time, we provide previously unreported evidence that dispersed colloid particles of linear size exceeding the nominal mesh size of the solution show the tendency to diffuse more rapidly in ring polymers solutions than in linear polymers ones.…”
Section: Discussionsupporting
confidence: 67%
“…Linear chains obey the classical mechanism of "reptation" [3,43]: hindered by topological constraints they reduce to slide past each others in a "snake-like" fashion, the total relaxation time being ∼ L 3 . Pointing out on the analogy between entangled ring polymers and branched trees, Rubinstein and coworkers suggested [7] that ring polymers relax instead owing to mass flowing along the ring contour length, a mechanism leading to the faster relaxation time ∼ L 2.5 . We now discuss the micro-rheological properties of polymer solutions by studying the diffusive motion of hard-sphere colloid particles [44,45] of diameter d = 5σ.…”
Section: B Chain and Colloid Dynamicsmentioning
confidence: 99%
“…The diffusion mechanism of rings has been suggested theoretically as amoebalike motion: they thrust and pull on unentangled loops. 1,2 For ring polymers in bulk, in spite of extensive work using experiments, [3][4][5][6][7][8][9][10] theories, [11][12][13][14] and simulations, [15][16][17][18][19][20][21][22][23] many controversies still remain.…”
Section: Introductionmentioning
confidence: 99%
“…Ring closure, and more generally topology, plays a key role in a wide range of biophysical contexts where DNA is constrained: segregation of the compacted circular genome of some bacteria [13], formation of chromosomal territories [14] in cell nuclei, compaction and ejection of the knotted DNA of a virus [15,16], migration of a circular DNA in an electrophoresis gel [17] or in a nanodevice such as a nanochannel [18], or localization of knots [3,19]. Therefore a better understanding of the basic properties of such systems is highly needed.…”
mentioning
confidence: 99%