Hydrodynamic effect on the correlation functions of a gaussian polymer chain

A. Jagannathan; B. Schaub; Y. Oono

doi:10.1016/0375-9601(85)90179-3

Hydrodynamic effect on the correlation functions of a gaussian polymer chain

A. Jagannathan, B. Schaub, Y. Oono

Research output: Contribution to journal › Article › peer-review

Abstract

Time-dependent correlation functions of the conformations of a single gaussian polymer chain immersed in a solvent are calculated renormalization-group theoretically. As a byproduct is is confirmed that to order ε{lunate} (=4-d, d being the spatial dimensionality) the translational diffusion constant obtained fully dynamically (i.e. by the Green-Kubo formalism) is identical to that obtained by the Kirkwood theory (or the Kirkwood-Riseman formalism) even with the self-avoiding interaction.

Original language	English (US)
Pages (from-to)	341-344
Number of pages	4
Journal	Physics Letters A
Volume	113
Issue number	6
DOIs	https://doi.org/10.1016/0375-9601(85)90179-3
State	Published - Dec 30 1985
Externally published	Yes

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General Physics and Astronomy

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10.1016/0375-9601(85)90179-3

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title = "Hydrodynamic effect on the correlation functions of a gaussian polymer chain",

abstract = "Time-dependent correlation functions of the conformations of a single gaussian polymer chain immersed in a solvent are calculated renormalization-group theoretically. As a byproduct is is confirmed that to order ε{lunate} (=4-d, d being the spatial dimensionality) the translational diffusion constant obtained fully dynamically (i.e. by the Green-Kubo formalism) is identical to that obtained by the Kirkwood theory (or the Kirkwood-Riseman formalism) even with the self-avoiding interaction.",

author = "A. Jagannathan and B. Schaub and Y. Oono",

note = "Funding Information: The authorsa reg ratefutl o Schlumberger-DoRlel searchfo r providingth ema n opportunittyo work together. They thankP hil Baldwinf or carefullyr eadingo ur manuscriptA.. J. is also gratefutl o Laboratoired e Physiqued es Solidesa t Orsayf or its hospitalitya ndfor necessarcyo mputetri me.The work is, in part, supportebdy NSF grant DMR-84-05355(P olymersP rograma) ndNSF grantst hroughIl linois and Brown MaterialsR esearchL aboratories.",

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doi = "10.1016/0375-9601(85)90179-3",

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AU - Jagannathan, A.

AU - Schaub, B.

AU - Oono, Y.

N1 - Funding Information: The authorsa reg ratefutl o Schlumberger-DoRlel searchfo r providingth ema n opportunittyo work together. They thankP hil Baldwinf or carefullyr eadingo ur manuscriptA.. J. is also gratefutl o Laboratoired e Physiqued es Solidesa t Orsayf or its hospitalitya ndfor necessarcyo mputetri me.The work is, in part, supportebdy NSF grant DMR-84-05355(P olymersP rograma) ndNSF grantst hroughIl linois and Brown MaterialsR esearchL aboratories.

PY - 1985/12/30

Y1 - 1985/12/30

N2 - Time-dependent correlation functions of the conformations of a single gaussian polymer chain immersed in a solvent are calculated renormalization-group theoretically. As a byproduct is is confirmed that to order ε{lunate} (=4-d, d being the spatial dimensionality) the translational diffusion constant obtained fully dynamically (i.e. by the Green-Kubo formalism) is identical to that obtained by the Kirkwood theory (or the Kirkwood-Riseman formalism) even with the self-avoiding interaction.

AB - Time-dependent correlation functions of the conformations of a single gaussian polymer chain immersed in a solvent are calculated renormalization-group theoretically. As a byproduct is is confirmed that to order ε{lunate} (=4-d, d being the spatial dimensionality) the translational diffusion constant obtained fully dynamically (i.e. by the Green-Kubo formalism) is identical to that obtained by the Kirkwood theory (or the Kirkwood-Riseman formalism) even with the self-avoiding interaction.

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Hydrodynamic effect on the correlation functions of a gaussian polymer chain

Abstract

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