DOI: 10.1063/1.1744610. Statistical Mechanics of Irreversible Processes in Polymer Solutions

Statistical Mechanics of Irreversible Processes in Polymer Solutions

10.1063/1.1744610

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The Kirkwood theory of irreversible processes in polymer solutions has been reformulated so as to include all contributions to the frictional forces exerted on the monomer units. The generalized diffusion equation for the nonequilibrium distribution function derived on this basis contains a new perturbation term, dependent upon the external field of force. The solution of this equation may be expressed by a perturbation expansion analogous to that given previously. The general theory has been applied to the intrinsic viscosity problem. Although the general theory reverts to the previous one, new techniques have been applied which enable the intrinsic viscosity and rigidity to be expressed in terms of the eigenfunctions and eigenvalues of the Oseen interaction tensor and the generalized diffusion operator. Moreover, a second formulation of the viscosity has been devised in which the result appears in terms of appropriate time correlation functions.

Bibliography

Erpenbeck, J. J., & Kirkwood, J. G. (1958). Statistical Mechanics of Irreversible Processes in Polymer Solutions. The Journal of Chemical Physics, 29(4), 909â913.

Authors 2

Jerome J. Erpenbeck (first)
John G. Kirkwood (additional)

References 10 Referenced 72

10.1002/recl.19490680708 / Rec. Trav. Chim. (1949)
10.1002/pol.1954.120120102 / J. Polymer Sci. (1954)
{'key': '2024020818080589200_r3', 'first-page': '97', 'volume': '37', 'year': '1944', 'journal-title': 'Helv. Chim. Acta'} / Helv. Chim. Acta (1944)
{'key': '2024020818080589200_r4'}
10.1063/1.1746947 / J. Chem. Phys. (1948)
10.1063/1.1742352 / J. Chem. Phys. (1955)
10.1063/1.1740573 / J. Chem. Phys. (1955)
10.1063/1.1742462 / J. Chem. Phys. (1956)
10.1063/1.1699180 / J. Chem. Phys. (1953)
10.1063/1.1740133 / J. Chem. Phys. (1954)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 5, 2005, 9:16 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 1:48 p.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 10 a.m.)
Issued	66 years, 10 months ago (Oct. 1, 1958)
Published	66 years, 10 months ago (Oct. 1, 1958)
Published Print	66 years, 10 months ago (Oct. 1, 1958)

Funders 0

None

BibTeX

@article{Erpenbeck_1958, title={Statistical Mechanics of Irreversible Processes in Polymer Solutions}, volume={29}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1744610}, DOI={10.1063/1.1744610}, number={4}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Erpenbeck, Jerome J. and Kirkwood, John G.}, year={1958}, month=oct, pages={909–913} }

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