FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2009549488> ?p ?o ?g. }

• W2009549488 endingPage "3708" @default.
• W2009549488 startingPage "3699" @default.
• W2009549488 abstract "The scanning method proposed by us [J. Phys. A 15, L735 (1982); Macromolecules 18, 563 (1985)] for simulation of polymer chains is further developed and applied, for the first time, to a model with finite interactions. In addition to ``importance sampling,'' we remove the bias introduced by the scanning method with a procedure suggested recently by Schmidt [Phys. Rev. Lett. 51, 2175 (1983)]; this procedure has the advantage of enabling one to estimate the statistical error. We find these two procedures to be equally efficient. The model studied is an N-step random walk on a lattice, in which a random walk i has a statistical weight , where p1 is an attractive energy parameter and ${M}_{i}$ is the number of distinct sites visited by walk i.This model, which corresponds to a model of random walks moving in a medium with randomly distributed static traps, has been solved analytically for Nensuremath{rightarrow}ensuremath{infty} for any dimension d by Donsker and Varadhan (DV) and by others. 〈M〉 and lnensuremath{varphi}, where ensuremath{varphi} is the survival probability in the trapping problem, diverge like ${N}^{ensuremath{alpha}}$ with ensuremath{alpha}=d/(d+2). Most numerical studies, however, have failed to reach the DV regime in which d/(d+2) becomes a good approximation for ensuremath{alpha}. On the other hand, our results for ensuremath{alpha} (obtained for Nensuremath{le}150) are close to the DV values for pensuremath{le}0.7 and pensuremath{le}0.6 for d=2 and 3, respectively.This suggests that the scanning method is more efficient than both the commonly used direct Monte Carlo technique, and the Rosenbluth and Rosenbluth method [J. Chem. Phys. 23, 356 (1954)]. Our results support the conclusion of Havlin et al. [Phys. Rev. Lett. 53, 407 (1984)] that the DV regime exists already for ensuremath{varphi}ensuremath{le}${10}^{mathrm{ensuremath{-}}13}$ for both d=2 and 3. We also find that at the percolation threshold ${p}_{c}$ the exponents for the end-to-end distance are small, but larger than zero, and that the probability of a walk returning to the origin behaves approximately as ${N}^{mathrm{ensuremath{-}}1/3}$ for both d=2 and 3." @default.
• W2009549488 created "2016-06-24" @default.
• W2009549488 creator A5052545995 @default.
• W2009549488 date "1985-12-01" @default.
• W2009549488 modified "2023-09-23" @default.
• W2009549488 title "Scanning method as an unbiased simulation technique and its application to the study of self-attracting random walks" @default.
• W2009549488 cites W1518747218 @default.
• W2009549488 cites W1968192899 @default.
• W2009549488 cites W1973742372 @default.
• W2009549488 cites W1973742938 @default.
• W2009549488 cites W1976032956 @default.
• W2009549488 cites W1978163555 @default.
• W2009549488 cites W1989941945 @default.
• W2009549488 cites W1992154957 @default.
• W2009549488 cites W1992546213 @default.
• W2009549488 cites W1993566889 @default.
• W2009549488 cites W1998452568 @default.
• W2009549488 cites W2008954361 @default.
• W2009549488 cites W2009922768 @default.
• W2009549488 cites W2014894780 @default.
• W2009549488 cites W2020435155 @default.
• W2009549488 cites W2026319458 @default.
• W2009549488 cites W2030241413 @default.
• W2009549488 cites W2030245329 @default.
• W2009549488 cites W2032130595 @default.
• W2009549488 cites W2034460790 @default.
• W2009549488 cites W2035428953 @default.
• W2009549488 cites W2035550025 @default.
• W2009549488 cites W2036133909 @default.
• W2009549488 cites W2056760934 @default.
• W2009549488 cites W2062540936 @default.
• W2009549488 cites W2067149892 @default.
• W2009549488 cites W2069740148 @default.
• W2009549488 cites W2076396156 @default.
• W2009549488 cites W2088421115 @default.
• W2009549488 cites W2093484224 @default.
• W2009549488 cites W2095213193 @default.
• W2009549488 cites W2104631845 @default.
• W2009549488 cites W2325270530 @default.
• W2009549488 cites W2983857058 @default.
• W2009549488 cites W4206038828 @default.
• W2009549488 cites W4244621885 @default.
• W2009549488 cites W1972532061 @default.
• W2009549488 doi "https://doi.org/10.1103/physreva.32.3699" @default.
• W2009549488 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/9896539" @default.
• W2009549488 hasPublicationYear "1985" @default.
• W2009549488 type Work @default.
• W2009549488 sameAs 2009549488 @default.
• W2009549488 citedByCount "57" @default.
• W2009549488 countsByYear W20095494882012 @default.
• W2009549488 countsByYear W20095494882016 @default.
• W2009549488 countsByYear W20095494882017 @default.
• W2009549488 countsByYear W20095494882023 @default.
• W2009549488 crossrefType "journal-article" @default.
• W2009549488 hasAuthorship W2009549488A5052545995 @default.
• W2009549488 hasConcept C105795698 @default.
• W2009549488 hasConcept C114614502 @default.
• W2009549488 hasConcept C121194460 @default.
• W2009549488 hasConcept C121332964 @default.
• W2009549488 hasConcept C121864883 @default.
• W2009549488 hasConcept C24890656 @default.
• W2009549488 hasConcept C2781204021 @default.
• W2009549488 hasConcept C33676613 @default.
• W2009549488 hasConcept C33923547 @default.
• W2009549488 hasConceptScore W2009549488C105795698 @default.
• W2009549488 hasConceptScore W2009549488C114614502 @default.
• W2009549488 hasConceptScore W2009549488C121194460 @default.
• W2009549488 hasConceptScore W2009549488C121332964 @default.
• W2009549488 hasConceptScore W2009549488C121864883 @default.
• W2009549488 hasConceptScore W2009549488C24890656 @default.
• W2009549488 hasConceptScore W2009549488C2781204021 @default.
• W2009549488 hasConceptScore W2009549488C33676613 @default.
• W2009549488 hasConceptScore W2009549488C33923547 @default.
• W2009549488 hasIssue "6" @default.
• W2009549488 hasLocation W20095494881 @default.
• W2009549488 hasLocation W20095494882 @default.
• W2009549488 hasOpenAccess W2009549488 @default.
• W2009549488 hasPrimaryLocation W20095494881 @default.
• W2009549488 hasRelatedWork W1994691812 @default.
• W2009549488 hasRelatedWork W2020457110 @default.
• W2009549488 hasRelatedWork W2043634057 @default.
• W2009549488 hasRelatedWork W2079399005 @default.
• W2009549488 hasRelatedWork W2088298544 @default.
• W2009549488 hasRelatedWork W2136440123 @default.
• W2009549488 hasRelatedWork W2144155143 @default.
• W2009549488 hasRelatedWork W2344067966 @default.
• W2009549488 hasRelatedWork W2963177834 @default.
• W2009549488 hasRelatedWork W4297580994 @default.
• W2009549488 hasVolume "32" @default.
• W2009549488 isParatext "false" @default.
• W2009549488 isRetracted "false" @default.
• W2009549488 magId "2009549488" @default.
• W2009549488 workType "article" @default.