DOI: 10.1063/1.430764. Frictional properties of dilute polymer solutions. I. Rotational friction coefficient

Frictional properties of dilute polymer solutions. I. Rotational friction coefficient

10.1063/1.430764

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The theory of Debye and Bueche for the frictional properties of dilute polymer solutions is placed on a microscopic basis. It is shown that the microscopic foundations for the theories of Debye−Bueche and Kirkwood−Riseman are identical, but that the theories differ in their statistical analysis. The Debye−Bueche equations are applied to the rotational friction coefficient of a spherically symmetric polymer with arbitrary radial density distribution. An exact result is derived for a Gaussian distribution of low density. A variational principle of minimum energy dissipation is formulated which is suitable for numerical work.

Bibliography

Felderhof, B. U., & Deutch, J. M. (1975). Frictional properties of dilute polymer solutions. I. Rotational friction coefficient. The Journal of Chemical Physics, 62(6), 2391â2397.

Authors 2

B. U. Felderhof (first)
J. M. Deutch (additional)

References 27 Referenced 91

{'key': '2024020912420076000_r1'}
{'key': '2024020912420076000_r1a', 'first-page': '486', 'volume': '71', 'year': '1947', 'journal-title': 'Phys. Rev.'} / Phys. Rev. (1947)
10.1063/1.1746948 / J. Chem. Phys. (1948)
{'key': '2024020912420076000_r3', 'first-page': '27', 'volume': '1', 'year': '1947', 'journal-title': 'Appl. Sci. Res. A'} / Appl. Sci. Res. A (1947)
{'key': '2024020912420076000_r3a', 'first-page': '618', 'volume': '50', 'year': '1947', 'journal-title': 'Proc. Akad. Wet. Amsterdam'} / Proc. Akad. Wet. Amsterdam (1947)
10.1063/1.1746947 / J. Chem. Phys. (1948)
{'key': '2024020912420076000_r5'}
{'key': '2024020912420076000_r6'}
10.1002/pol.1951.120070213 / J. Polym. Sci. (1951)
10.1063/1.1698726 / J. Chem. Phys. (1953)
10.1063/1.1740133 / J. Chem. Phys. (1954)
10.1063/1.1742462 / J. Chem. Phys. (1956)
{'key': '2024020912420076000_r7c', 'first-page': '648', 'volume': '68', 'year': '1949', 'journal-title': 'Rev. Trav. Chim.'} / Rev. Trav. Chim. (1949)
10.1063/1.1679380 / J. Chem. Phys. (1973)
10.1063/1.1681433 / J. Chem. Phys. (1974)
10.1063/1.1695848 / J. Chem. Phys. (1965)
10.1063/1.1726988 / J. Chem. Phys. (1966)
10.1073/pnas.60.2.381 / Proc. Nat. Acad. Sci. USA (1968)
{'key': '2024020912420076000_r8c', 'first-page': '1858', 'volume': '45', 'year': '1966', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1966)
10.1063/1.1669446 / J. Chem. Phys. (1968)
10.1063/1.1672109 / J. Chem. Phys. (1969)
{'key': '2024020912420076000_r9', 'first-page': '531', 'volume': '5', 'year': '1968', 'journal-title': 'Adv. Polum. Sci.'} / Adv. Polum. Sci. (1968)
{'key': '2024020912420076000_r10'}
{'key': '2024020912420076000_r11'}
10.1063/1.1670977 / J. Chem. Phys. (1969)
{'key': '2024020912420076000_r13'}
{'key': '2024020912420076000_r14', 'first-page': '213', 'volume': '23', 'year': '1955', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1955)

Dates

Type	When
Created	22 years, 5 months ago (Feb. 27, 2003, 4:56 p.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 8:34 a.m.)
Indexed	1 year ago (Aug. 3, 2024, 10:35 p.m.)
Issued	50 years, 5 months ago (March 15, 1975)
Published	50 years, 5 months ago (March 15, 1975)
Published Print	50 years, 5 months ago (March 15, 1975)

Funders 0

None

BibTeX

@article{Felderhof_1975, title={Frictional properties of dilute polymer solutions. I. Rotational friction coefficient}, volume={62}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.430764}, DOI={10.1063/1.430764}, number={6}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Felderhof, B. U. and Deutch, J. M.}, year={1975}, month=mar, pages={2391–2397} }

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