ICCAS OpenIR
Long-range correlations in a polymer chain due to its connectivity
Shirvanyants, David1; Panyukov, Sergey2; Liao, Qi3; Rubinstein, Michael1
2008-02-26
Source PublicationMACROMOLECULES
ISSN0024-9297
Volume41Issue:4Pages:1475-1485
AbstractThe analysis of intrachain monomeric interactions reveals a new effect in the description of polymer conformations in dilute theta-solutions, semidilute solutions, and melts. The chain connectivity modifies the effective monomeric interaction, which results in the long range correlations between orientations of polymer bonds, that decay as a power law. A major modification of the standard polymer models was made to describe this effect. We predict the power-law decay of the bond-vector correlation function of a polymer in the theta-solvent, < a(i)a(j)> similar to vertical bar i-j vertical bar(-3/2), (a(i) is the ith bond vector) instead of commonly assumed exponential decay. We calculated the length dependence of the ratio of the mean squared size of a chain segment to its length s. Our theory predicts that this ratio has a maximum below the theta-point due to the balance of the new effective interaction and the two-body attraction. The Flory characteristic ratio C-n of a chain with n main chain bonds is found to approach its asymptotic value C-infinity as n(-1/2) and not as n(-1), predicted by the classical polymer models. We show that the necessary conditions for the existence of new effective interactions is the chain connectivity and nonzero range of monomeric interactions.
DOI10.1021/ma071443r
Indexed BySCI
Language英语
WOS IDWOS:000253331200058
PublisherAMER CHEMICAL SOC
Citation statistics
Cited Times:41[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.iccas.ac.cn/handle/121111/63314
Collection中国科学院化学研究所
Corresponding AuthorShirvanyants, David
Affiliation1.Univ N Carolina, Dept Chem, Chapel Hill, NC 27599 USA
2.Russian Acad Sci, PN Lebedev Phys Inst, R-117924 Moscow, Russia
3.Chinese Acad Sci, Inst Chem, State Key Lab Polymer Phys & Chem, Joint Lab Polymer Sci & Mat, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Shirvanyants, David,Panyukov, Sergey,Liao, Qi,et al. Long-range correlations in a polymer chain due to its connectivity[J]. MACROMOLECULES,2008,41(4):1475-1485.
APA Shirvanyants, David,Panyukov, Sergey,Liao, Qi,&Rubinstein, Michael.(2008).Long-range correlations in a polymer chain due to its connectivity.MACROMOLECULES,41(4),1475-1485.
MLA Shirvanyants, David,et al."Long-range correlations in a polymer chain due to its connectivity".MACROMOLECULES 41.4(2008):1475-1485.
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