Hostname: page-component-77c89778f8-sh8wx Total loading time: 0 Render date: 2024-07-16T23:30:34.581Z Has data issue: false hasContentIssue false
  • English
  • Français

Application of the Langevin equation to fluid suspensions

Published online by Cambridge University Press:  29 March 2006

E. J. Hinch
E. J. Hinch
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

Brownian motion of particles suspended in a fluid is studied, and expressions derived for the particle diffusivity and velocity autocorrelation function. The theory of thermal noise in a general linear system is applied to both the particles and the fluid in a novel formulation. This enables the recent modification of the Langevin equation to include the effect of fluid inertia to be seen as just a necessary but simple reinterpretation of the original analysis, without introducing the theory of non-Markovian processes.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 72 , Issue 3 , 9 December 1975 , pp. 499 - 511
Copyright
© 1975 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ailawadi, N. K. & Berne, B. J. 1971 J. Chem. Phys. 54, 3569.
Alder, B. J. & Wainwright, T. E. 1967 Phys. Rev. Lett. 18, 988.
Alder, B. J. & Wainwright, T. E. 1968 J. Phys. Soc. Japan Suppl. 26, 267.
Alder, B. J. & Wainwright, T. E. 1970 Phys. Rev. A 1, 18.
Chow, T. S. & Hermans, J. J. 1972 J. Chem. Phys. 56, 3150.
Chow, T. S. & Hermans, J. J. 1974 K. Nederl. Acad. Van Wetenschappen-Amst. B 77, 18.
Case, K. M. 1971 Phys. Fluids, 14, 2091.
Einstein, A. 1905 Ann. Phys. 17, 549.
Hauge, E. H. & Martin-Löf, A. 1973 J. Stat. Phys. 7, 259.
Rahman, A. 1964 Phys. Rev. A 136, 405.
Thompson, W. & Tait, P. G. 1879 A Treatise on Natural Philosophy, 320. Cambridge University Press.
Widom, A. 1971 Phys. Rev. A 3, 1394.
Zwanzig, R. & Bixon, M. 1970 Phys. Rev. A 2, 2005.
Zwanzig, R. & Bixon, M. 1975 J. Fluid Mech. 69, 21.