DOI: 10.1063/1.1677653. Effect of Inertia on the Brownian Motion of Rigid Particles in a Viscous Fluid

Effect of Inertia on the Brownian Motion of Rigid Particles in a Viscous Fluid

10.1063/1.1677653

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

From Boussinesq's work it is known that the frictional resistance of a particle in a viscous, inert fluid, depends on its history. This plays an important part in Brownian motion. The general theory of fluctuations in fluid dynamics leads to explicit expressions for the autocorrelation function G(t) for the random force acting on a Brownian particle and the autocorrelation function φ(t) for its velocity. It is demonstrated that G(t) contains an inertial term which depends on the velocity distribution in the liquid surrounding the particle. The results obtained lead to the correct value of the diffusivity.

Bibliography

Chow, T. S., & Hermans, J. J. (1972). Effect of Inertia on the Brownian Motion of Rigid Particles in a Viscous Fluid. The Journal of Chemical Physics, 56(6), 3150â3154.

Authors 2

T. S. Chow (first)
J. J. Hermans (additional)

References 13 Referenced 127

10.1103/RevModPhys.17.323 / Rev. Mod. Phys. (1945)
10.1103/RevModPhys.15.1 / Rev. Mod. Phys. (1943)
{'key': '2024020908511978100_r3'}
{'key': '2024020908511978100_r4'}
10.1103/PhysRevA.3.1394 / Phys. Rev. A (1971)
10.1063/1.1675416 / J. Chem. Phys. (1971)
10.1088/0034-4885/29/1/306 / Rept. Progr. Phys. (1966)
{'key': '2024020908511978100_r8'}
{'key': '2024020908511978100_r9'}
{'key': '2024020908511978100_r10', 'first-page': '143', 'volume': '64', 'year': '1964', 'journal-title': 'J. Res. Natl. Bur. Std. B'} / J. Res. Natl. Bur. Std. B (1964)
10.1063/1.1724117 / J. Chem. Phys. (1946)
10.1007/BF01007243 / J. Stat. Phys. (1969)
{'key': '2024020908511978100_r13', 'first-page': '297', 'volume': '55', 'year': '1964', 'journal-title': 'Natl. Bur. Std. (U.S.) Appl. Math. Ser.'} / Natl. Bur. Std. (U.S.) Appl. Math. Ser. (1964)

Dates

Type	When
Created	21 years, 6 months ago (Feb. 6, 2004, 3:25 p.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 4:46 a.m.)
Indexed	3 weeks, 4 days ago (Aug. 6, 2025, 8:29 a.m.)
Issued	53 years, 5 months ago (March 15, 1972)
Published	53 years, 5 months ago (March 15, 1972)
Published Print	53 years, 5 months ago (March 15, 1972)

Funders 0

None

BibTeX

@article{Chow_1972, title={Effect of Inertia on the Brownian Motion of Rigid Particles in a Viscous Fluid}, volume={56}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1677653}, DOI={10.1063/1.1677653}, number={6}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Chow, T. S. and Hermans, J. J.}, year={1972}, month=mar, pages={3150–3154} }

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