Long-range correlations in a polymer chain due to its connectivity
Shirvanyants, David1; Panyukov, Sergey2; Liao, Qi3; Rubinstein, Michael1
Source PublicationMACROMOLECULES
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.
Indexed BySCI
WOS IDWOS:000253331200058
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Cited Times:41[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
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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