The second order concentration corrections to the mutual diffusion coefficient of Brownian macroparticles
dc.contributor.author | Phillies, George D. J. | en_US |
dc.date.accessioned | 2010-05-06T21:08:00Z | |
dc.date.available | 2010-05-06T21:08:00Z | |
dc.date.issued | 1982-09-01 | en_US |
dc.identifier.citation | Phillies, George D. J. (1982). "The second order concentration corrections to the mutual diffusion coefficient of Brownian macroparticles." The Journal of Chemical Physics 77(5): 2623-2631. <http://hdl.handle.net/2027.42/69776> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/69776 | |
dc.description.abstract | From the initial time dependence of the dynamic structure factor S(k,t), we obtain a general form, valid through second order in the concentration, for the mutual diffusion coefficient Dm. All effects of direct and hydrodynamic interactions (other than dynamic friction) are taken into account, including the three‐point ’’0seen’’ hydrodynamic tensor Tijl, whose analytic form is obtained here for the first time. The concept of the reference frame correction is re‐examined. The usual factor (1−ϕ) for transition from the fundamental hydrodynamic frame to the volume‐fixed frame is argued to be a low‐concentration approximation. The general form for Dm is evaluated for a model system of hard spheres. With the use of the auxiliary assumption (relaxed herein) that all hydrodynamic interaction tensors satisfy ∇ ⋅ t = 0, use of our new general method [J. Stat. Phys. 28, 673 (1982)] for reducing N‐particle cluster integrals to (N−1)‐dimensional integrals shows Dm = D0 (1−0.875ϕ−19.53ϕ2). | en_US |
dc.format.extent | 3102 bytes | |
dc.format.extent | 666945 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | The second order concentration corrections to the mutual diffusion coefficient of Brownian macroparticles | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Chemistry, The University of Michigan, Ann Arbor, Michigan 48109 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/69776/2/JCPSA6-77-5-2623-1.pdf | |
dc.identifier.doi | 10.1063/1.444136 | en_US |
dc.identifier.source | The Journal of Chemical Physics | en_US |
dc.identifier.citedreference | A. R. Altenberger and J. M. Deutch, J. Chem. Phys. 59, 894 (1973). | en_US |
dc.identifier.citedreference | G. D. J. Phillies, J. Chem. Phys. 60, 976 (1974). | en_US |
dc.identifier.citedreference | B. U. Felderhof, J. Phys. A: Math. Nucl. Gen. 11, 929 (1978). | en_US |
dc.identifier.citedreference | W. Hess and R. Klein, Physica A 85, 509 (1976). | en_US |
dc.identifier.citedreference | P. N. Pusey and R. J. A. Tough, in Dynamic Light Scattering and Velocimetry: Applications of Photon Correlation Spectroscopy, edited by R. Pecora (Plenum, New York, in press). | en_US |
dc.identifier.citedreference | G. D. J. Phillies and P. R. Wills, J. Chem. Phys. 75, 508 (1981). | en_US |
dc.identifier.citedreference | (a) H. M. Fijnaut, C. Pathmamanoharan, E. A. Nieuwenhuis, and A. Vrij, Chem. Phys. Lett. 59, 351 (1978); (b) M. M. Kops‐Werkhoven and H. M. Fijnaut, in Light Scattering in Liquids and Macromolecular Solutions, edited by V. Degiorgio, M. Corti, and M. Giglio (Plenum, New York, 1980). | en_US |
dc.identifier.citedreference | (a) G. D. J. Phillies, J. Chem. Phys. 74, 260 (1981); (b) Phys. Rev. A 24, 1939 (1981); (c) in American Association for Aerosol Research 1st Annual Meeting Symposium Volume, edited by B. Dahneke (in press). | en_US |
dc.identifier.citedreference | B. J. Ackerson, P. N. Pusey, and R. J. A. Tough, J. Chem. Phys. 76, 1279 (1982). | en_US |
dc.identifier.citedreference | B. U. Felderhof, Physica A 80, 172 (1975); 84, 557, 569 (1976); 89, 373 (1977). | en_US |
dc.identifier.citedreference | J. G. Kirkwood, R. L. Baldwin, P. J. Dunlop, L. J. Gosting, and G. Kegeles, J. Chem. Phys. 33, 1505 (1960). | en_US |
dc.identifier.citedreference | H. J. Silverstone and R. K. Moats, Phys. Rev. A 16, 1731 (1977). | en_US |
dc.identifier.citedreference | G. D. J. Phillies, J. Stat. Phys. (in press). | en_US |
dc.identifier.citedreference | G. K. Batchelor, J. Fluid Mech. 74, 1 (1976). | en_US |
dc.identifier.citedreference | B. J. Ackerson, J. Chem. Phys. 69, 684 (1978). | en_US |
dc.identifier.citedreference | W. Dieterich and I. Peschel, Physica A 95, 208 (1979). | en_US |
dc.identifier.citedreference | J. A. Marqusee and J. M. Deutch, J. Chem. Phys. 73, 5397 (1980). | en_US |
dc.identifier.citedreference | G. D. J. Phillies, J. Chem. Phys. 74, 2436 (1981). | en_US |
dc.identifier.citedreference | D. A. McQuarrie, Statistical Mechanics (Harper and Row, New York, 1976). | en_US |
dc.identifier.citedreference | H. Faxen, Ann. Phys. (Leipzig) (IV) 8, 89 (1922); Doctoral thesis, University of Uppsala, 1921. | en_US |
dc.identifier.citedreference | A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University, Princeton, 1974). | en_US |
dc.owningcollname | Physics, Department of |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.