Influence of dipolar interactions on the magnetic susceptibility spectra of ferrofluids / Sindt J.O., Camp P.J., Kantorovich S.S., Elfimova E.A., Ivanov A.O. // Physical Review E. - 2016. - V. 93, l. 6.

ISSN:
24700045
Type:
Article
Abstract:
The frequency-dependent magnetic susceptibility of a ferrofluid is calculated under the assumption that the constituent particles undergo Brownian relaxation only. Brownian-dynamics simulations are carried out in order to test the predictions of a recent theory [A. O. Ivanov, V. S. Zverev, and S. S. Kantorovich, Soft Matter 12, 3507 (2016)1744-683X10.1039/C5SM02679B] that includes the effects of interparticle dipole-dipole interactions. The theory is based on the so-called modified mean-field approach and possesses the following important characteristics: in the low-concentration, noninteracting regime, it gives the correct single-particle Debye-theory results; it yields the exact leading-order results in the zero-frequency limit; it includes particle polydispersity correctly from the outset; and it is based on firm theoretical foundations allowing, in principle, systematic extensions to treat stronger interactions and/or higher concentrations. The theory and simulations are compared in the case of a model monodisperse ferrofluid, where the effects of interactions are predicted to be more pronounced than in a polydisperse ferrofluid. The susceptibility spectra are analyzed in detail in terms of the low-frequency behavior, the position of the peak in the imaginary (out-of-phase) part, and the characteristic decay time of the magnetization autocorrelation function. It is demonstrated that the theory correctly predicts the trends in all of these properties with increasing concentration and dipolar coupling constant, the product of which is proportional to the Langevin susceptibility χL. The theory is in quantitative agreement with the simulation results as long as χL1. © 2016 American Physical Society.
Author keywords:
Index keywords:
Autocorrelation; Magnetic fluids; Magnetic susceptibility; Autocorrelation functions; Brownian dynamics simulations; Dipole dipole interactions; Low frequency behavior; Particle polydispersity; Polydi
DOI:
10.1103/PhysRevE.93.063117
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Art. No. 063117
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Affiliations School of Chemistry, University of Edinburgh, David Brewster Road, Edinburgh, United Kingdom; Institute of Mathematics and Computer Sciences, Ural Federal University, 51 Lenin Avenue, Ekaterinburg, Russian Federation; Department of Computational Physics, University of Vienna, Sensengasse 8/9, Vienna, Austria
References Langevin, P., (1905) J. Phys. Theor. Appl., 4, p. 678; Weiss, P., (1907) J. Phys. Theor. Appl., 6, p. 661; Cebers, A., (1982) Magnetohydrodynamics, 18, p. 137; Wertheim, M.S., (1971) J. Chem. Phys., 55, p. 4291; Morozov, K.I., Lebedev, A.V., (1990) J. Magn. Magn. Mater., 85, p. 51; Buyevich, Yu.A., Ivanov, A.O., (1992) Physica A, 190, p. 276; Ivanov, A.O., (1992) Magnetohydrodynamics, 28, p. 353; Pshenichnikov, A.F., Mekhonoshin, V.V., Lebedev, A.V., (1996) J. Magn. Magn. Mater., 161, p. 94; Ivanov, A.O., Kuznetsova, O.B., (2001) Phys. Rev. E, 64, p. 041405; Ivanov, A.O., Kuznetsova, O.B., (2006) Colloid J., 68, p. 430; Huke, B., Lücke, M., (2000) Phys. Rev. E, 62, p. 6875; Huke, B., Lücke, M., (2003) Phys. Rev. E, 67, p. 051403; Huke, B., Lücke, M., (2004) Rep. Prog. Phys., 67, p. 1731; Ivanov, A.O., Kantorovich, S.S., Reznikov, E.N., Holm, C., Pshenichnikov, A.F., Lebedev, A.V., Chremos, A., Camp, P.J., (2007) Phys. Rev. E, 75, p. 061405; Ivanov, A.O., Kantorovich, S.S., Reznikov, E.N., Holm, C., Pshenichnikov, A.F., Lebedev, A.V., Chremos, A., Camp, P.J., (2007) Magnetohydrodynamics, 43, p. 393; Camp, P.J., Elfimova, E.A., Ivanov, A.O., (2014) J. Phys.: Condens. Matter, 26, p. 456002; Pshenichnikov, A.F., Lebedev, A.V., (1989) Zh. Eksp. Teor. Fiz., 95, p. 869; Pshenichnikov, A.F., Lebedev, A.V., (1989) Sov. Phys. JETP, 68, p. 498; Erné, B.H., Butter, K., Kuipers, B.W.M., Vroege, G.J., (2003) Langmuir, 19, p. 8218; Chung, S.H., Hoffmann, A., Bader, S.D., Liu, C., Kay, B., Makowski, L., Chen, L., (2004) Appl. Phys. Lett., 85, p. 2971; Barrera, C., Florián-Algarin, V., Acevedoa, A., Rinaldi, C., (2010) Soft Matter, 6, p. 3662; Calero Diaz Del Castillo, V.L., Santiago-Quiñonez, D.I., Rinaldi, C., (2011) Soft Matter, 7, p. 4497; Ferguson, R.M., Khandhar, A.P., Jonasson, C., Blomgren, J., Johansson, C., Krishnan, K.M., (2013) IEEE Trans. Magn., 49, p. 3441; Rikken, R.S.M., Nolte, R.J.M., Maan, J.C., Van Hest, J.C.M., Wilson, D.A., Christianen, P.C.M., (2014) Soft Matter, 10, p. 1295; Rosensweig, R.E., (2002) J. Magn. Magn. Mater., 252, p. 370; Pankhurst, Q.A., Connolly, J., Jones, S.K., Dobson, J., (2003) J. Phys. D: Appl. Phys., 36, p. R167; Pankhurst, Q.A., Thanh, N.T.K., Jones, S.K., Dobson, J., (2009) J. Phys. D: Appl. Phys., 42, p. 224001; Hergt, R., Hiergeist, R., Hilger, I., Kaiser, W., Lapatnikov, Y., Margel, S., Richter, U., (2004) J. Magn. Magn. Mater., 270, p. 345; Sonvico, F., Mornet, S., Vasseur, S., Dubernet, C., Jaillard, D., Degrouard, J., Hoebeke, J., Couvreur, P., (2005) Bioconjugate Chem., 16, p. 1181; Fortin, J.-P., Wilhelm, C., Servais, J., Ménager, C., Bacri, J.-C., Gazeau, F., (2007) J. Am. Chem. Soc., 129, p. 2628; Müller, R., Hergt, R., Zeisberger, M., Gawalek, W., (2005) J. Magn. Magn. Mater., 289, p. 13; Raikher, Yu.L., Stepanov, V.I., (2014) J. Magn. Magn. Mater., 368, p. 421; Boskovic, M., Goya, G.F., Vranjes-Djuric, S., Jovic, N., Jancar, B., Antic, B., (2015) J. Appl. Phys., 117, p. 103903; Zubarev, A.Yu., Yushkov, A.V., (1998) J. Exp. Theor. Phys., 87, p. 484; Felderhof, B.U., Jones, R.B., (2003) J. Phys.: Condens. Matter, 15, p. 4011; Ilg, P., Hess, S., (2003) Z. Naturforsch., 58 A, p. 589; Déjardin, P.M., Ladieu, F., (2014) J. Chem. Phys., 140, p. 034506; Verde, E.L., Landi, G.T., Gomes, J.A., Sousa, M.H., Bakuzis, A.F., (2012) J. Appl. Phys., 111, p. 123902; Martens, M.A., Deissler, R.J., Wu, Y., Bauer, L., Yao, Z., Brown, R., Griswold, M., (2013) Med. Phys., 40, p. 022303; Landi, G.T., (2014) Phys. Rev. B, 89, p. 014403; Ivanov, A.O., Zverev, V.S., Kantorovich, S.S., (2016) Soft Matter, 12, p. 3507; Brown, W.F., Jr., (1963) J. Appl. Phys., 34, p. 1319; Brown, W.F., Jr., (1979) IEEE Trans. Magn., 15, p. 1196; Plimpton, S., (1995) J. Comput. Phys., 117, p. 1; Weis, J.J., Levesque, D., (1993) Phys. Rev. Lett., 71, p. 2729; Rovigatti, L., Russo, J., Sciortino, F., (2012) Soft Matter, 8, p. 6310; Kantorovich, S., Ivanov, A.O., Rovigatti, L., Tavares, J.M., Sciortino, F., (2013) Phys. Rev. Lett., 110, p. 148306
Correspondence Address Sindt, J.O.; School of Chemistry, University of Edinburgh, David Brewster Road, United Kingdom
Publisher American Physical Society
Language of Original Document English
Abbreviated Source Title Phys. Rev. E
Source Scopus