FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4294956016> ?p ?o ?g. }

• W4294956016 endingPage "8417" @default.
• W4294956016 startingPage "8409" @default.
• W4294956016 abstract "Many ring polymer systems of physical and biological interest exhibit both pronounced topological effects and nontrivial self-similarity, but the relationship between these two phenomena has not yet been clearly established. Here, we use theory and simulation to formulate such a connection by studying a fundamental topological property-the random knotting probability-for ring polymers with varying fractal dimension, df . Using straightforward scaling arguments, we generalize a classic mathematical result, showing that the probability of a trivial knot decays exponentially with chain size, N, for all fractal dimensions: P0(N) ∝ exp(-N/N0). However, no such simple considerations can account for the dependence of the knotting length, N0, on df , necessitating a more involved analytical calculation. This analysis reveals a complicated double-exponential dependence, which is well supported by numerical data. By contrast, functional forms typical of simple scaling theories fail to adequately describe the observations. These findings are equally valid for two-dimensional ring polymer systems, where knotting is defined as the intersection of any two segments." @default.
• W4294956016 created "2022-09-08" @default.
• W4294956016 creator A5035361360 @default.
• W4294956016 creator A5068853530 @default.
• W4294956016 date "2022-09-08" @default.
• W4294956016 modified "2023-09-24" @default.
• W4294956016 title "Random Knotting in Fractal Ring Polymers" @default.
• W4294956016 cites W1831401007 @default.
• W4294956016 cites W1966853719 @default.
• W4294956016 cites W1968284103 @default.
• W4294956016 cites W1969290416 @default.
• W4294956016 cites W1971249019 @default.
• W4294956016 cites W1973654613 @default.
• W4294956016 cites W1983917808 @default.
• W4294956016 cites W1984447149 @default.
• W4294956016 cites W1991798488 @default.
• W4294956016 cites W1997277188 @default.
• W4294956016 cites W1999727838 @default.
• W4294956016 cites W2001509772 @default.
• W4294956016 cites W2010544518 @default.
• W4294956016 cites W2014461675 @default.
• W4294956016 cites W2028916128 @default.
• W4294956016 cites W2033484470 @default.
• W4294956016 cites W2038327018 @default.
• W4294956016 cites W2041944384 @default.
• W4294956016 cites W2045517656 @default.
• W4294956016 cites W2058958977 @default.
• W4294956016 cites W2064888668 @default.
• W4294956016 cites W2073841499 @default.
• W4294956016 cites W2085529455 @default.
• W4294956016 cites W2087836673 @default.
• W4294956016 cites W2090037139 @default.
• W4294956016 cites W2093577090 @default.
• W4294956016 cites W2093934559 @default.
• W4294956016 cites W2103717137 @default.
• W4294956016 cites W2128826294 @default.
• W4294956016 cites W2136219212 @default.
• W4294956016 cites W2137103459 @default.
• W4294956016 cites W2139342346 @default.
• W4294956016 cites W2230648959 @default.
• W4294956016 cites W2323858088 @default.
• W4294956016 cites W2506042458 @default.
• W4294956016 cites W2581385317 @default.
• W4294956016 cites W2604185808 @default.
• W4294956016 cites W2768983765 @default.
• W4294956016 cites W2796176608 @default.
• W4294956016 cites W2886316416 @default.
• W4294956016 cites W2894896872 @default.
• W4294956016 cites W2918794137 @default.
• W4294956016 cites W2923454374 @default.
• W4294956016 cites W2937151182 @default.
• W4294956016 cites W2982369657 @default.
• W4294956016 cites W2997731290 @default.
• W4294956016 cites W2999918306 @default.
• W4294956016 cites W3000044505 @default.
• W4294956016 cites W3033421763 @default.
• W4294956016 cites W3034937267 @default.
• W4294956016 cites W3036690477 @default.
• W4294956016 cites W3087730481 @default.
• W4294956016 cites W3088652307 @default.
• W4294956016 cites W3099498228 @default.
• W4294956016 cites W3103364322 @default.
• W4294956016 cites W3103568817 @default.
• W4294956016 cites W3105701304 @default.
• W4294956016 cites W3106186262 @default.
• W4294956016 cites W3119045372 @default.
• W4294956016 cites W3133444865 @default.
• W4294956016 cites W3135720214 @default.
• W4294956016 cites W3204855473 @default.
• W4294956016 cites W421616731 @default.
• W4294956016 cites W4233681106 @default.
• W4294956016 cites W4238316345 @default.
• W4294956016 cites W4254180029 @default.
• W4294956016 doi "https://doi.org/10.1021/acs.macromol.2c01676" @default.
• W4294956016 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/36186575" @default.
• W4294956016 hasPublicationYear "2022" @default.
• W4294956016 type Work @default.
• W4294956016 citedByCount "0" @default.
• W4294956016 crossrefType "journal-article" @default.
• W4294956016 hasAuthorship W4294956016A5035361360 @default.
• W4294956016 hasAuthorship W4294956016A5068853530 @default.
• W4294956016 hasBestOaLocation W42949560161 @default.
• W4294956016 hasConcept C111472728 @default.
• W4294956016 hasConcept C121332964 @default.
• W4294956016 hasConcept C121864883 @default.
• W4294956016 hasConcept C127413603 @default.
• W4294956016 hasConcept C13355873 @default.
• W4294956016 hasConcept C134306372 @default.
• W4294956016 hasConcept C138885662 @default.
• W4294956016 hasConcept C146978453 @default.
• W4294956016 hasConcept C151376022 @default.
• W4294956016 hasConcept C159985019 @default.
• W4294956016 hasConcept C178790620 @default.
• W4294956016 hasConcept C185592680 @default.
• W4294956016 hasConcept C192562407 @default.
• W4294956016 hasConcept C2524010 @default.
• W4294956016 hasConcept C26546657 @default.
• W4294956016 hasConcept C2779863119 @default.

• next