Matches in SemOpenAlex for { <https://semopenalex.org/work/W2045802079> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2045802079 endingPage "288" @default.
- W2045802079 startingPage "255" @default.
- W2045802079 abstract "Numerical simulations are employed to study the Brownian motion of a bead-rod polymer chain dissolved in a solvent. An investigation is conducted of the relaxation of the stress for an initially straight chain as it begins to coil. For a numerical time step δ t in the simulations, conventional formulae for the stress involve averaging large ± O (1/(δ t ) 1/2 ) contributions over many realizations, in order to yield an O (1) average. An alternative formula for the stress is derived which only contains O (1) contributions, thereby improving the quality of the statistics. For a chain consisting of n rods in a solvent at temperature T, the component of the bulk stress along the initial chain direction arising from tensions in the rods at the initial instant is $khat{T}times n(frac{1}{3}n^2 + n +frac{2}{3})$ . Thus the bead-rod model yields results very different from other polymer models, such as the entropic spring of Flory (1969), which would assign an infinite stress to a fully aligned chain. For rods of length l and beads of friction factor $hat{zeta}$ the stress decays at first on $O(hat{zeta}hat{l}^2/khat{T}times 1/n^2)$ time scales. On longer time scales, this behaviour gives way to a more gradual stress decay, characterized by an $O(khat{T}times n)$ stress following a simple exponential decay with an $O(khat{T}/hat{zeta}hat{l}^2times 1/n^2)$ rate. Matching these two limiting regimes, a power law decay in time t is found with stress $O(khat{T}times n^2times (khat{T}hat{t}/hat{zeta}hat{l}^2)^{-1/2})$ . The dominant physical processes occurring in these separate short, long and intermediate time regimes are identified." @default.
- W2045802079 created "2016-06-24" @default.
- W2045802079 creator A5001800167 @default.
- W2045802079 creator A5054751592 @default.
- W2045802079 date "1996-02-10" @default.
- W2045802079 modified "2023-09-27" @default.
- W2045802079 title "Computer simulations of polymer chain relaxation via Brownian motion" @default.
- W2045802079 cites W1995062017 @default.
- W2045802079 cites W1999479012 @default.
- W2045802079 cites W2008584720 @default.
- W2045802079 cites W2045979429 @default.
- W2045802079 cites W2091679649 @default.
- W2045802079 cites W2140574958 @default.
- W2045802079 cites W2895519634 @default.
- W2045802079 doi "https://doi.org/10.1017/s0022112096001474" @default.
- W2045802079 hasPublicationYear "1996" @default.
- W2045802079 type Work @default.
- W2045802079 sameAs 2045802079 @default.
- W2045802079 citedByCount "96" @default.
- W2045802079 countsByYear W20458020792012 @default.
- W2045802079 countsByYear W20458020792013 @default.
- W2045802079 countsByYear W20458020792014 @default.
- W2045802079 countsByYear W20458020792015 @default.
- W2045802079 countsByYear W20458020792016 @default.
- W2045802079 countsByYear W20458020792017 @default.
- W2045802079 countsByYear W20458020792019 @default.
- W2045802079 countsByYear W20458020792020 @default.
- W2045802079 countsByYear W20458020792021 @default.
- W2045802079 countsByYear W20458020792023 @default.
- W2045802079 crossrefType "journal-article" @default.
- W2045802079 hasAuthorship W2045802079A5001800167 @default.
- W2045802079 hasAuthorship W2045802079A5054751592 @default.
- W2045802079 hasConcept C112401455 @default.
- W2045802079 hasConcept C121332964 @default.
- W2045802079 hasConcept C130603088 @default.
- W2045802079 hasConcept C134306372 @default.
- W2045802079 hasConcept C138885662 @default.
- W2045802079 hasConcept C142724271 @default.
- W2045802079 hasConcept C151376022 @default.
- W2045802079 hasConcept C162184086 @default.
- W2045802079 hasConcept C192562407 @default.
- W2045802079 hasConcept C199185054 @default.
- W2045802079 hasConcept C204787440 @default.
- W2045802079 hasConcept C21036866 @default.
- W2045802079 hasConcept C33923547 @default.
- W2045802079 hasConcept C41895202 @default.
- W2045802079 hasConcept C46141821 @default.
- W2045802079 hasConcept C521977710 @default.
- W2045802079 hasConcept C62520636 @default.
- W2045802079 hasConcept C71924100 @default.
- W2045802079 hasConcept C97355855 @default.
- W2045802079 hasConceptScore W2045802079C112401455 @default.
- W2045802079 hasConceptScore W2045802079C121332964 @default.
- W2045802079 hasConceptScore W2045802079C130603088 @default.
- W2045802079 hasConceptScore W2045802079C134306372 @default.
- W2045802079 hasConceptScore W2045802079C138885662 @default.
- W2045802079 hasConceptScore W2045802079C142724271 @default.
- W2045802079 hasConceptScore W2045802079C151376022 @default.
- W2045802079 hasConceptScore W2045802079C162184086 @default.
- W2045802079 hasConceptScore W2045802079C192562407 @default.
- W2045802079 hasConceptScore W2045802079C199185054 @default.
- W2045802079 hasConceptScore W2045802079C204787440 @default.
- W2045802079 hasConceptScore W2045802079C21036866 @default.
- W2045802079 hasConceptScore W2045802079C33923547 @default.
- W2045802079 hasConceptScore W2045802079C41895202 @default.
- W2045802079 hasConceptScore W2045802079C46141821 @default.
- W2045802079 hasConceptScore W2045802079C521977710 @default.
- W2045802079 hasConceptScore W2045802079C62520636 @default.
- W2045802079 hasConceptScore W2045802079C71924100 @default.
- W2045802079 hasConceptScore W2045802079C97355855 @default.
- W2045802079 hasLocation W20458020791 @default.
- W2045802079 hasOpenAccess W2045802079 @default.
- W2045802079 hasPrimaryLocation W20458020791 @default.
- W2045802079 hasRelatedWork W1969358827 @default.
- W2045802079 hasRelatedWork W1984555046 @default.
- W2045802079 hasRelatedWork W1999260253 @default.
- W2045802079 hasRelatedWork W2075831361 @default.
- W2045802079 hasRelatedWork W2090301662 @default.
- W2045802079 hasRelatedWork W2105562925 @default.
- W2045802079 hasRelatedWork W2157101377 @default.
- W2045802079 hasRelatedWork W2257978774 @default.
- W2045802079 hasRelatedWork W2904485109 @default.
- W2045802079 hasRelatedWork W2951682360 @default.
- W2045802079 hasVolume "308" @default.
- W2045802079 isParatext "false" @default.
- W2045802079 isRetracted "false" @default.
- W2045802079 magId "2045802079" @default.
- W2045802079 workType "article" @default.