Sedimentation equilibria in polydisperse ferrofluids: Critical comparisons between experiment, theory, and computer simulation / Elfimova E.A., Ivanov A.O., Lakhtina E.V., Pshenichnikov A.F., Camp P.J. // Soft Matter. - 2016. - V. 12, l. 18. - P. 4103-4112.

ISSN:
1744683X
Type:
Article
Abstract:
The sedimentation equilibrium of dipolar particles in a ferrofluid is studied using experiment, theory, and computer simulation. A theory of the particle-concentration profile in a dipolar hard-sphere fluid is developed, based on the local-density approximation and accurate expressions from a recently introduced logarithmic free energy approach. The theory is tested critically against Monte Carlo simulation results for monodisperse and bidisperse dipolar hard-sphere fluids in homogeneous gravitational fields. In the monodisperse case, the theory is very accurate over broad ranges of gravitational field strength, volume fraction, and dipolar coupling constant. In the bidisperse case, with realistic dipolar coupling constants and compositions, the theory is excellent at low volume fraction, but is slightly inaccurate at high volume fraction in that it does not capture a maximum in the small-particle concentration profile seen in simulations. Possible reasons for this are put forward. Experimental measurements of the magnetic-susceptibility profile in a real ferrofluid are then analysed using the theory. The concentration profile is linked to the susceptibility profile using the second-order modified mean-field theory. It is shown that the experimental results are not consistent with the sample being monodisperse. By introducing polydispersity in the simplest possible way, namely by assuming the system is a binary mixture, almost perfect agreement between theory and experiment is achieved. © 2016 The Royal Society of Chemistry.
Author keywords:
Index keywords:
Binary mixtures; Electric field effects; Fluids; Free energy; Gravitation; Gravitational effects; Intelligent systems; Local density approximation; Magnetic fluids; Magnetic susceptibility; Mean field
DOI:
10.1039/c6sm00304d
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-84968764025&doi=10.1039%2fc6sm00304d&partnerID=40&md5=8a15732be36dd21559f084bf23f5f08a
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Affiliations Institute of Mathematics and Computer Sciences, Ural Federal University, 51 Lenin Avenue, Ekaterinburg, Russian Federation; Institute of Continuous Media Mechanics, UB RAS, 1 Korolyev Street, Perm, Russian Federation; School of Chemistry, University of Edinburgh, David Brewster Road, Edinburgh, United Kingdom
Funding Details 15-10-1-16, RAS, Russian Academy of Sciences; 3.12.2014/K, Ministry of Education and Science of the Russian Federation
Funding Text E. A. E. and A. O. I. gratefully acknowledge research funding from the Ministry of Education and Science of the Russian Federation (Contract No. 02.A03.21.0006, Project No. 3.12.2014/K). E. V. L. and A. F. P. thank the Ural Branch, Russian Academy of Sciences for supporting Project No. 15-10-1-16. E. A. E. and P. J. C. thank the Ural Federal University for supporting collaborative visits between the Edinburgh and Ekaterinburg groups.
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Correspondence Address Camp, P.J.; Institute of Mathematics and Computer Sciences, Ural Federal University, 51 Lenin Avenue, Russian Federation; email: philip.camp@ed.ac.uk
Publisher Royal Society of Chemistry
CODEN SMOAB
Language of Original Document English
Abbreviated Source Title Soft Matter
Source Scopus