FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2067310304> ?p ?o ?g. }

• W2067310304 endingPage "5374" @default.
• W2067310304 startingPage "5362" @default.
• W2067310304 abstract "An N-step random walk on a cubic lattice is adopted as a model of a random polymer chain. The spans, or extents, of each random walk configuration in the principal lattice directions are arranged in order of magnitude, ξ3?ξ2⩾ξ1. In the case of the unrestricted random walk, the average values of the ordered spans 〈ξi,u〉 and 〈ξ2i,u〉, i=1, 2, and 3, are calculated analytically in the limit of large N. The limiting relative values of the first moments, 〈ξi,u〉 are 1.637 : 1.267 : 1; and the limiting values of the second moments 〈ξ2i,u〉 are 2.710 : 1,600 : 1. In the case of the restricted or self-avoiding walk, the corresponding average spans 〈ξi,r〉 and 〈ξ2i,r〉 are estimated for N?150 by using a Monte Carlo procedure. The same Monte Carlo procedure is used to estimate the values of 〈ξi,u〉 and 〈ξ2i,u〉 for N?1000. On the assumption that the rate of approach of the average ordered spans of the self-avoiding walks to their asymptotic forms is similar to the rate of approach of the average ordered spans of the unrestricted walks to their asymptotic forms, the following estimates are obtained for the ordered spans of the self-avoiding walks: 〈ξi,r(N) 〉=?i,rN0.61 for N≫1 and ?3,r : ?2,r : ?1,r =1.75 : 1.31 : 1. The relative values of the estimates of the second moments of these ordered spans for N≫1 are 〈ξ23,r〉 : 〈ξ22,r〉 : 〈ξ21,r〉 =3.08 : 1.71 : 1. A simple ellipsoidal model is analyzed in order to obtain estimates of the intrinsic spans of the two kinds of random walks. It is assumed that all random walks have the same intrinsic dimensions and form (ellipsoidal), but that their principal axes are oriented at random. The average ordered spans with respect to a set of orthogonal space-fixed axes of this randomly oriented ensemble of ellipsoids depend uniquely on the principal diameters of the ellipsoid (intrinsic spans). A procedure is devised to solve the inversion problem of determining the relative lengths of the principal diameters which correspond to a given set of relative ordered moments with respect to space-fixed axes. The relative values obtained for the principal diameters of the ellipsoid are 2.59 : 1.61 : 1 in the case of the unrestricted random walk and 3.05 : 1.77 : 1 in the case of the self-avoiding walk." @default.
• W2067310304 created "2016-06-24" @default.
• W2067310304 creator A5075026429 @default.
• W2067310304 creator A5076530991 @default.
• W2067310304 date "1975-12-15" @default.
• W2067310304 modified "2023-09-25" @default.
• W2067310304 title "Ordered spans of unrestricted and self-avoiding random-walk models of polymer chains. I. Space-fixed axes" @default.
• W2067310304 cites W1518747218 @default.
• W2067310304 cites W1607589993 @default.
• W2067310304 cites W1966268897 @default.
• W2067310304 cites W1969841216 @default.
• W2067310304 cites W1970077247 @default.
• W2067310304 cites W1982707788 @default.
• W2067310304 cites W2004572121 @default.
• W2067310304 cites W2026319458 @default.
• W2067310304 cites W2031242738 @default.
• W2067310304 cites W2036133909 @default.
• W2067310304 cites W2056360101 @default.
• W2067310304 cites W2087063155 @default.
• W2067310304 cites W2088421115 @default.
• W2067310304 cites W2089416626 @default.
• W2067310304 cites W2093526226 @default.
• W2067310304 cites W2095213193 @default.
• W2067310304 cites W2294333130 @default.
• W2067310304 cites W2323298936 @default.
• W2067310304 cites W2331612920 @default.
• W2067310304 cites W4241862909 @default.
• W2067310304 doi "https://doi.org/10.1063/1.431342" @default.
• W2067310304 hasPublicationYear "1975" @default.
• W2067310304 type Work @default.
• W2067310304 sameAs 2067310304 @default.
• W2067310304 citedByCount "24" @default.
• W2067310304 crossrefType "journal-article" @default.
• W2067310304 hasAuthorship W2067310304A5075026429 @default.
• W2067310304 hasAuthorship W2067310304A5076530991 @default.
• W2067310304 hasConcept C105795698 @default.
• W2067310304 hasConcept C114614502 @default.
• W2067310304 hasConcept C121194460 @default.
• W2067310304 hasConcept C121332964 @default.
• W2067310304 hasConcept C121864883 @default.
• W2067310304 hasConcept C127413603 @default.
• W2067310304 hasConcept C134306372 @default.
• W2067310304 hasConcept C151201525 @default.
• W2067310304 hasConcept C155155215 @default.
• W2067310304 hasConcept C188198153 @default.
• W2067310304 hasConcept C19499675 @default.
• W2067310304 hasConcept C24890656 @default.
• W2067310304 hasConcept C2781204021 @default.
• W2067310304 hasConcept C33923547 @default.
• W2067310304 hasConcept C78519656 @default.
• W2067310304 hasConceptScore W2067310304C105795698 @default.
• W2067310304 hasConceptScore W2067310304C114614502 @default.
• W2067310304 hasConceptScore W2067310304C121194460 @default.
• W2067310304 hasConceptScore W2067310304C121332964 @default.
• W2067310304 hasConceptScore W2067310304C121864883 @default.
• W2067310304 hasConceptScore W2067310304C127413603 @default.
• W2067310304 hasConceptScore W2067310304C134306372 @default.
• W2067310304 hasConceptScore W2067310304C151201525 @default.
• W2067310304 hasConceptScore W2067310304C155155215 @default.
• W2067310304 hasConceptScore W2067310304C188198153 @default.
• W2067310304 hasConceptScore W2067310304C19499675 @default.
• W2067310304 hasConceptScore W2067310304C24890656 @default.
• W2067310304 hasConceptScore W2067310304C2781204021 @default.
• W2067310304 hasConceptScore W2067310304C33923547 @default.
• W2067310304 hasConceptScore W2067310304C78519656 @default.
• W2067310304 hasIssue "12" @default.
• W2067310304 hasLocation W20673103041 @default.
• W2067310304 hasOpenAccess W2067310304 @default.
• W2067310304 hasPrimaryLocation W20673103041 @default.
• W2067310304 hasRelatedWork W1842821908 @default.
• W2067310304 hasRelatedWork W1984106051 @default.
• W2067310304 hasRelatedWork W2009568568 @default.
• W2067310304 hasRelatedWork W2020457110 @default.
• W2067310304 hasRelatedWork W2043634057 @default.
• W2067310304 hasRelatedWork W2047730402 @default.
• W2067310304 hasRelatedWork W2088298544 @default.
• W2067310304 hasRelatedWork W2136440123 @default.
• W2067310304 hasRelatedWork W4296219965 @default.
• W2067310304 hasRelatedWork W4309287396 @default.
• W2067310304 hasVolume "63" @default.
• W2067310304 isParatext "false" @default.
• W2067310304 isRetracted "false" @default.
• W2067310304 magId "2067310304" @default.
• W2067310304 workType "article" @default.