Hostname: page-component-848d4c4894-m9kch Total loading time: 0 Render date: 2024-05-13T07:22:44.026Z Has data issue: false hasContentIssue false

Compressibility effects in the hydrodynamic theory of Brownian motion

Published online by Cambridge University Press:  29 March 2006

Robert Zwanzig
Affiliation:
Institute for Fluid Dynamics and Applied Mathematics, University of Maryland
Mordechai Bixon
Affiliation:
University of Tel Aviv

Abstract

The velocity correlation function of a Brownian particle in a viscous compressible fluid is studied in the limit of very small compressibility. The main effect of compressibility is an initial rapid change of the particle mass from a real inertial mass to a virtual mass.

Type
Research Article
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

Bedeaux, D. & Mazur, P. 1974 Physica, 76, 247.
Berne, B. J. 1971 In Physical Chemistry: an Advanced Treatise, vol. VIIIB, Liquid State (ed. D. Henderson), chap. 9. Academic.
Berne, B. J. 1972 J. Chem. Phys. 56, 2164.
Burgess, R. E. 1973 Phys. Lett. A, 42, 395.
Case, K. M. 1971 Phys. Fluids, 14, 2091.
Chow, T. S. & Hermans, J. J. 1972a J. Chem. Phys. 56, 3150.
Chow, T. S. & Hermans, J. J. 1972b J. Chem. Phys. 57, 1799.
Chow, T. S. & Hermans, J. J. 1973a J. Chem. Phys. 58, 825.
Chow, T. S. & Hermans, J. J. 1973b Physica, 65, 156.
Chow, T. S. & Hermans, J. J. 1974 Proc. Konink, Ned. Akad. Wetenschap. 77, 18.
Davis, H. H. & Subramanian, G. 1973 J. Chem. Phys. 58, 5167.
Giterman, M. S. & Gertsenshtein, M. E. 1966 Zh. Eksp. Teor. Fiz. 50, 1084. (Trans. Sov. Phys., J. Exp. Theor. Phys. 23, 722).
Hauge, E. H. & MARTIN-LOF, A. 1973 J. Stat. Phys. 7, 259.
Hynes, J. T. 1972 J. Chem. Phys. 57, 5612.
Keizer, J. 1973 J. Chem. Phys. 58, 824.
Kubo, R. 1966 Rep. on Prog. in Phys. 29, 255.
Mazo, R. M. 1971 J. Chem. Phys. 54, 3712.
Mazo, R. M. 1973 J. Chem. Phys. 58, 108.
Mazur, P. & Bedeaux, D. 1974 Physica, 76, 235.
Vladimirskii, V. V. & Terletskii, YA. P. 1945 Zh. Eksp. Teor. Fiz. 15, 258.
Widom, A. 1971 Phys. Rev. A, 3, 1394.
Zwanzig, R. & Bixon, M. 1970 Phys. Rev. A, 2, 2005.