Colloidal Magnetic Fluids pp 1-77 | Cite as
Ferrofluid Structure and Rheology
Abstract
Combined efforts of experimental, theoretical and simulation studies performed over the last years have significantly improved the understanding of structural and dynamical properties of ferrofluids. Experiments on newly synthesized cobalt ferrofluids – well characterized and with a narrow particle size distribution – show huge magnetoviscous effects, where the zero-field viscosity increases by a factor 10–100 due to an applied magnetic field. Such large variations in the viscosity are accompanied by dramatic structural changes that are detected by neutron scattering experiments under shear flow. Therefore, structure and rheology are intimately related in such ferrofluids. These results can be explained by the formation and breaking of chain-like aggregates of magnetic particles. Chain formation under equilibrium conditions is covered in this review as a starting point for a discussion of the dynamics of these aggregates in terms of the kinetic chain model. Also the case of weak dipolar interactions is reviewed here, where systematic approximations allow to discuss the effect of dipolar interactions on the equilibrium magnetization. These studies have been extended recently, giving valuable insights into the role of weak dipolar interactions on dynamical, viscous and viscoelastic properties of ferrofluids.
Keywords
Shear Rate Dipolar Interaction Viscous Stress Tensor Brownian Dynamic Simulation Orientational Order ParameterPreview
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References
- Odenbach, S. J. Phys. Cond. Mat. 16, R1135 (2004)ADSCrossRefGoogle Scholar
- Odenbach, S., (ed.): Ferrofluids. Magnetically Controllable Fluids and Their Applications, volo 594 of Lecture Notes in Phys. Springer, Berlin (2002).Google Scholar
- Blums, E., Cebers, A., Maiorov, M.M.: Magnetic Fluids. de Gruyter, Berlin (1997).Google Scholar
- Berkovsky B., Bashtovoy, V.: Magnetic Fluids and Applications Handbook. Begell House, New York (1996).Google Scholar
- Scherer, C., Neto, A.M.F.: Braz. J. Phys. 35 (2005)Google Scholar
- Raj, K. Moskowitz, B. Casciari, R.: Magnetohydrodynamics 149, 174 (1995)Google Scholar
- Odenbach, S.: Int. J. Mod. Phys. B 14, 1615 (2000)ADSGoogle Scholar
- Odenbach, S.: Magnetoviscous Effects in Ferrofluids, Lecture Notes in Phys., Springer, Berlin (2002)Google Scholar
- Larson, R.G.: The structure and rheology of complex fluids. Oxford University Press, New York (1999)Google Scholar
- Hess, S.: Flow properties and structure of anisotropic fluids studied by non–equilibrium molecular dynamics, and flow properties of other complex fluids: polymeric liquids, ferro–fluids and magneto–rheological fluids, In: Advances in the computer simulation of liquid–crystals, Parisi P., Zannoni, C., p. 189–233, Kluwer, Dordrecht (2000)Google Scholar
- Holm C., Weis, J.J.: Curr. Opin. Colloid Interface Sci. 10, 133 (2005)CrossRefGoogle Scholar
- Rosensweig, R.E.: Kaiser, R., Miskolczy, G.: J. Colloid Interface Sci. 29, 680 (1969)CrossRefGoogle Scholar
- McTague, J.P.: J. Chem. Phys. 51, 133 (1969)ADSCrossRefGoogle Scholar
- Shliomis, M.I.: Sov. Phys. JETP 34, 1291 (1972)ADSGoogle Scholar
- Dhont, J.K.G.: An introduction to dynamics of colloids, Studies in interface science, Elsevier, Amsterdam (1996)Google Scholar
- Brenner H. Weissman, M.H.: J. Colloid Interface Sci. 41, 499 (1972)CrossRefGoogle Scholar
- Levi, A.C., Hobson, R.F., McCourt, F.R.: Canad. J. Phys. 51, 180 (1973)ADSGoogle Scholar
- Martsenyuk, M.A., Raikher, Y.L., Shliomis, M.I.: Sov. Phys. JETP 38, 413 (1974)ADSGoogle Scholar
- Pop, L.M.: Investigation of the microstructure of ferrofluids under the influence of a magnetic field and shear flow PhD thesis, University Bremen (2006)Google Scholar
- Embs, J. Müller, H.W., Wagner, C., Knorr, K., Lücke, M.: Phys. Rev. E 61, R2196 (2000)ADSCrossRefGoogle Scholar
- Bacri, J.-C., Perzynski, R., Shliomis, M.I., Burde, G.I.; Phys. Rev. Lett. 75, 2128 (1995)ADSCrossRefGoogle Scholar
- Rosensweig, R.E.: Science 271, 614 (1996)ADSCrossRefGoogle Scholar
- Shliomis M.I., Raikher, Y.L.: IEEE Trans. Mag. 16, 237 (1980)ADSCrossRefGoogle Scholar
- Pérez-Madrid A. Rubi, J.M.: Physica A 132, 438 (1985)ADSCrossRefGoogle Scholar
- Rubi, J.M., Pérez-Madrid, A., Salueña, C. Physica A 163, 791 (1990)ADSCrossRefGoogle Scholar
- Salueña, C., Pérez-Madrid, A., Rubi, J.M.: Physica A 169, 375 (1990)ADSCrossRefGoogle Scholar
- Miguel, M.C., Avalos, J.B., Pèrez-Madrid, A., Rubi, J.M.: Physica A 193, 359 (1993)ADSCrossRefGoogle Scholar
- Felderhof B.U., Kroh, H.J.: J. Chem. Phys. 110, 7403 (1990)ADSCrossRefGoogle Scholar
- Doi M., See, H.: J. Phys. Soc. Japan 61, 2090 (1992)ADSCrossRefGoogle Scholar
- Rubi J.M., Miguel, M.C.: Physica A 194, 209 (1993)ADSCrossRefGoogle Scholar
- Raikher Y.L., Shliomis, M.I.: Adv. Chem. Phys. 87, 595 (1994)CrossRefGoogle Scholar
- Waldron, J.T., Kalmykov, Y.P., Coffey, W.T.: Phys. Rev. E 49, 3976 (1994)ADSCrossRefGoogle Scholar
- Almog Y., Frankel, I.: J. Fluid Mech. 366, 289 (1998)MATHADSMathSciNetCrossRefGoogle Scholar
- Pérez-Madrid, A., Alarcon, T., Vilar, J.M.G., Rubi, J.M.: Physica A 270, 403 (1999)ADSCrossRefGoogle Scholar
- Felderhof, B.U.: Magnetohydrodynamics 36, 396 (2000)MathSciNetCrossRefGoogle Scholar
- Felderhof, B.U.: Phys. Rev. E 62, 3848 (2000)ADSMathSciNetCrossRefGoogle Scholar
- Shliomis, M.I.: Phys. Rev. E 64, 060501 (2001)ADSCrossRefGoogle Scholar
- Ilg, P., Kröger, M., Hess, S.: J. Chem. Phys. 116, 9078 (2002)ADSCrossRefGoogle Scholar
- Zeuner, A., Richter, R., Rehberg, I.: Phys. Rev. E 58, 6287 (1994)ADSCrossRefGoogle Scholar
- Ambacher, O., Odenbach, S., Stierstadt, K.: Z. Phys. B. Cond. Mat. 86, 29 (1992)ADSCrossRefGoogle Scholar
- Grants, A., Irbitis, A., Kronkalns, G., Maiorov, M.M.: J. Magn. Magn. Mater. 85, 129 (1990)ADSCrossRefGoogle Scholar
- Odenbach, S., Rylewicz, T., Rath, H.: Phys. Fluids 11, 2901 (1999)MATHADSCrossRefGoogle Scholar
- Odenbach S., Müller, H.W.: Phys. Rev. Lett. 89, 037202 (2002)ADSCrossRefGoogle Scholar
- Pop, L.M., Odenbach, S., Wiedenmann, A., Matoussevitch, N., Bönnemann, H.: J. Magn. Magn. Mater. 289, 303 (2005)ADSCrossRefGoogle Scholar
- Huke B., Lücke, M.: Rep. Prog. Phys. 67, 1731 (2004)ADSCrossRefGoogle Scholar
- Teixeira, P.I.C., Tavares, J.M., da Gama, M.M.T.: J. Phys. Cond. Mat. 12, R411 (2000)ADSCrossRefGoogle Scholar
- Hansen M.F., Morup, S.: Magnetohydrodynamics 184, 262 (1998)Google Scholar
- Brancher, J.P.: C. R. Acad. Sci. Ser. Paris B 290, 457 (1980)Google Scholar
- Zubarev A.Y.: Iskakova, L.Y.: JETP 80, 857 (1995)ADSGoogle Scholar
- Morozov K.I., Shliomis, M.I.: J. Phys. Cond. Mat. 16, 3807 (2004)ADSCrossRefGoogle Scholar
- Wiedenmann, A.: Magnetic and crystalline nanostructures in ferrofluids as probed by small angle neutron scattering, In: Ferrofluids. Magnetically Controllable Fluids and Their Applications, Odenbach, S. (ed.) number 594 in Lecture Notes in Physics, pp. 33–58. Springer, Berlin, 2002.Google Scholar
- Robert, A., Wagner, J., Autenrieth, T., Härtl, W., Grübel, G.: J. Chem. Phys. 122, 084701 (2005)ADSCrossRefGoogle Scholar
- Wang, Z., Holm, C., Müller, H.W.: Phys. Rev. E 66, 021405 (2002)ADSCrossRefGoogle Scholar
- Boennemann et al., H., Inorg. Chim. Acta 350, 617 (2003)CrossRefGoogle Scholar
- Ilg P., Kröger, M.: Phys. Rev. E 66, 021501 (2002), Erratum: Phys. Rev. E, 67:049901, 2003.ADSCrossRefGoogle Scholar
- Zubarev, A.Y., Fleischer, J., Odenbach, S.: Physica A 358, 475 (2005)ADSCrossRefGoogle Scholar
- Zubarev A.Y., Yushkov, A.V.: JETP 87, 484 (1998)ADSCrossRefGoogle Scholar
- Felderhof B.U., Jones, R.B.: J. Phys. Cond. Mat. 15, 4011 (2003)ADSCrossRefGoogle Scholar
- Ilg P., Hess, S.: Z. Naturforsch. 58a, 589 (2003)Google Scholar
- Rinaldi, C., Chaves, A., Elborai, S., He, X., Zahn, M.: Curr. Opin. Colloid Interface Sci. 10, 141 (2005)CrossRefGoogle Scholar
- Thurm S., Odenbach, S.: Phys. Fluids 15, 1658 (2003)ADSCrossRefGoogle Scholar
- Saldivar-Guerrero R., et al., Viscoelasticity of mono- and polydisperse inverse ferrofluids, Preprint (2005)Google Scholar
- Wang Z., Holm, C.: Phys. Rev. E 68, 041401 (2003)ADSCrossRefGoogle Scholar
- Zubarev A.Y., Iskakova, L.Y.: Physica A 335, 314 (2005)ADSCrossRefGoogle Scholar
- Iskakova L.Y., Zubarev, A.Y.: Phys. Rev. E 66, 041405 (2002)ADSCrossRefGoogle Scholar
- Rosensweig, R.E.: Ferrohydrodynamics. Cambridge University Press, Cambridge (1985)Google Scholar
- Rosensweig, R.E.: Basic equations for magnetic fluids with internal rotations, In: Odenbach, S. (ed.) Ferrofluids. Magnetically Controllable Fluids and Their Applications, number 594 in Lecture Notes in Physics pages 61–84, Springer, Berlin (2002)Google Scholar
- Shliomis, M.I.: Phys. Rev. E 64, 063501 (2001)ADSCrossRefGoogle Scholar
- Felderhof, B.U.: Phys. Rev. E 64, 063502 (2001)ADSCrossRefGoogle Scholar
- Müller H.W., Liu, M.: Phys. Rev. E 64, 061405 (2001)ADSCrossRefGoogle Scholar
- Shliomis, M.I.: Phys. Rev. E 67, 043201 (2003)ADSCrossRefGoogle Scholar
- Müller H.W., Liu, M.: Phys. Rev. E 67, 043202 (2003)ADSCrossRefGoogle Scholar
- Kröger, M., Ilg, P., Hess, S.: J. Phys. Cond. Mat. 15, S1403 (2003)ADSCrossRefGoogle Scholar
- de Gennes P.G., Probst, J.: The Physics of Liquid Crystals. Clarendon Press, Oxford, 2nd ed (1993).Google Scholar
- Odenbach S., Störk, H.: J. Magn. Magn. Mater. 183, 188 (1998)ADSCrossRefGoogle Scholar
- Larson, R.G.: Constitutitve equations for polymer melts and solutions, Butterworths (1988).Google Scholar
- Frenkel, J.I.: Kinetic theory of liquids, Dover Publ., New York (1955)Google Scholar
- Krekhov, A.P., Shliomis, M.I., Kamiyama, S.: Phys. Fluids 17, 033105 (2005)ADSCrossRefGoogle Scholar
- Schumacher, K.R., Sellien, I., Knoke, G.S., Cader, T., Finlayson, B.A.: Phys. Rev. E 67, 026308 (2003)ADSCrossRefGoogle Scholar
- Russel, W.B., Saville, D.A., Schowalter, W.R.: Colloidal Dispersions Cambridge University Press, Cambridge (1992)Google Scholar
- Kröger, M.: Phys. Rep. 390, 453 (2004)ADSMathSciNetCrossRefGoogle Scholar
- Doi M., Edwards, S.F.: The Theory of Polymer Dynamics Oxford University Press, Oxford (1986)Google Scholar
- Bird, R.B., Curtiss, C.F., Armstrong, R.C., Hassager, O.: Dynamics of Polymeric Liquids, Vol. 2, Kinetic Theory. Wiley, New York, 2nd edn. (1987)Google Scholar
- Kröger, M., Models for Polymeric and Anisotropic Liquids, volume 675 of Lecture Notes in Physics Springer, Berlin (2005)Google Scholar
- Ilg, P., Kröger, M., Hess, S.: Phys. Rev. E 71, 031205 (2005)ADSCrossRefGoogle Scholar
- Ilg, P., Kröger, M., Hess, S.: Phys. Rev. E 71, 051201 (2005)ADSCrossRefGoogle Scholar
- Satoh, A., Chantrell, R.W., Coverdale, G.N., Kamiyama, S.: J. Coll. Interf. Sci. 203, 233 (1998)CrossRefGoogle Scholar
- Satoh, A., Chantrell, R.W., Coverdale, G.N.: J. Coll. Interf. Sci. 209, 44 (1999)CrossRefGoogle Scholar
- Morimoto H., Maekawa, T.: Int. J. Mod. Phys. B 15, 823 (2001)ADSCrossRefGoogle Scholar
- Morimoto, H., Maekawa, T., Matsumo, Y.: Phys. Rev. E 65, 061508 (2002)ADSCrossRefGoogle Scholar
- Ilg P., Kröger, M.: Phys. Rev. E 72, 031504 (2005)ADSCrossRefGoogle Scholar
- Wagner, J., Autenrieth, T., Hempelmann, R.: J. Magn. Magn. Mater. 252, 4 (2002)ADSCrossRefGoogle Scholar
- Claesson E.M., Philipse, A.P.: Langmuir 21, 9412 (2005)CrossRefGoogle Scholar
- Stepanov, V.I.: J. Magn. Magn. Mater. 258-259, 442 (2003)Google Scholar
- Raikher, Y.L., Stepanov, V.I., Bacri, J.-C., Perzynski, R.: Phys. Rev. E 66, 021203 (2002)ADSCrossRefGoogle Scholar
- Berkov, D.V., Gorn, N.L., Stock, D.: Magnetohydrodynamics 39, 97 (2003).ADSGoogle Scholar
- Berkov, D.V., Gorn, N.L., Stock, D.: J. Magn. Magn. Mater. 272, E1281 (2004)ADSCrossRefGoogle Scholar
- Barker J.A., Henderson, D.: J. Chem. Phys. 47, 4714 (1976)ADSCrossRefGoogle Scholar
- Allen M.P., Tildesley, D.J.: Computer Simulation of Liquids. Oxford University Press, Oxford (1987)MATHGoogle Scholar
- Öttinger, H.C., Stochastic Processes in Polymeric Fluids. Springer, Berlin (1996)MATHGoogle Scholar
- Weis, J.-J.: J. Phys. Cond. Mat. 15, S1471 (2003)ADSCrossRefGoogle Scholar
- McWhirter J.-J.: Patey, G.N.: J. Chem. Phys. 117, 2747 (2002)ADSCrossRefGoogle Scholar
- McWhirter J.L., Patey, G.N.: J. Chem. Phys. 117, 9016 (2002)ADSCrossRefGoogle Scholar
- Rinn, B., Zahn, K., Maass, P., and Maret, G.: Europhys. Lett. 46, 537 (1999)ADSCrossRefGoogle Scholar
- Kollmann M., et al., Europhys. Lett. 58, 919 (2002)ADSCrossRefGoogle Scholar
- Coquelle, E., Ilg, P., and Hess, S.: The role of polydispersity and hydrodynamic interactions in simulations of ferrofluids, Preprint (2006)Google Scholar
- Zubarev, A.Y.: JETP 93, 80 (2001)ADSCrossRefGoogle Scholar
- Huke B., Lücke, M.: J. Magn. Magn. Mater. 252, 132 (2002)ADSCrossRefGoogle Scholar
- Huke B., Lücke, M.: Phys. Rev. E 67, 051403 (2003)ADSCrossRefGoogle Scholar
- Ivanov A.O., Kantorovich, S.S.: Phys. Rev. E 70, 021401 (2004)ADSCrossRefGoogle Scholar
- Huang, J.P., Wang, Z.W., Holm, C.: J. Magn. Magn. Mater. 289, 234 (2005)ADSCrossRefGoogle Scholar
- Kubo, R., Toda, M., Hashitsume, N.: Statistical Physics II. Nonequilibrium Statistical Mechanics, Springer, Berlin, 2nd edn. (1991)MATHGoogle Scholar
- Salueña, C., Pérez-Madrid, A., Rubi, J.M.: J. Chem. Phys. 96, 6950 (1992)ADSCrossRefGoogle Scholar
- Shliomis, M.I.: Ferrohydrodynamics: Retrospective and issues. In: Ferrofluids. Magnetically Controllable Fluids and Their Applications, Odenbach, S. number 594 in Lecture Notes in Physics, pp. 85–111, Springer, Berlin (2002)Google Scholar
- Rinaldi C., Brenner, H.: Phys. Rev. E 65, 036615 (2002)ADSMathSciNetCrossRefGoogle Scholar
- Liu M., Stierstadt, K.: arXiv:cond-mat/0010261 (2000)Google Scholar
- Heyes D.M.: Branka, A.C.: Molec. Phys. 98, 1949 (2000)CrossRefGoogle Scholar
- Berkov D.V., Gorn, N.L.: J. Phys. Cond. Mat. 14, L281 (2002)ADSCrossRefGoogle Scholar
- Hess, S., Weider, T., Kröger, M.: Magnetohydrodynamics 37, 297 (2001)ADSGoogle Scholar
- Wang Z., Holm, C.: J. Chem. Phys. 115, 6351 (2001)ADSCrossRefGoogle Scholar
- Wang, Z., Holm, C.: Müller, H.W.: J. Chem. Phys. 119, 379 (2003)ADSCrossRefGoogle Scholar
- Kalikmanov, V.I.: Physica A 183, 25 (1992)ADSCrossRefGoogle Scholar
- Reichl, L.E.: A modern course in statistical physics. Wiley-Interscience, 2nd edn. (1998)Google Scholar
- Huke B., Lücke, M.: Phys. Rev. E 62, 6875 (2000)ADSCrossRefGoogle Scholar
- Buyevich Y.A., Ivanov, A.O.: Physica A 190, 276 (1992)ADSCrossRefGoogle Scholar
- Ivanov A.O., Kuznetsova, O.B.: Phys. Rev. E 64, 041405 (2001)ADSCrossRefGoogle Scholar
- Pshenichnikov, A.F., Mekhonoshin, V.V., Lebedev, A.: J. Magn. Magn. Mater. 161, 94 (1996)ADSCrossRefGoogle Scholar
- de Gennes P.G., Pincus, P.A.: Phys. Kondens. Mater. 11, 189 (1970)ADSCrossRefGoogle Scholar
- Jordan, P.C.: Molec. Phys. 25, 961 (1973)ADSCrossRefGoogle Scholar
- Jordan, P.C.: Molec. Phys. 38, 769 (1979)ADSCrossRefGoogle Scholar
- Zhang H., Widom, M.: Phys. Rev. E 51, 2099 (1995)ADSCrossRefGoogle Scholar
- Osipov, M.A., Teixeira, P.I.C., da Gama, M.M.T.: Phys. Rev. E 54, 2597 (1996)ADSCrossRefGoogle Scholar
- Tavares, J.M., Weis, J.J., da Gama, M.M.T.: Phys. Rev. E 59, 4388Google Scholar
- Pérez-Castillo, I., Pérez-Madrid, A., Rubi, J.M., Bossis, G.: J. Chem. Phys. 113, 6443 (2000)ADSCrossRefGoogle Scholar
- Tavares, J.M., Weis, J.J., da Gama, M.M.T.; Phys. Rev. E 65, 061201 (2002)ADSCrossRefGoogle Scholar
- Morimoto H., Maekawa, T.: J. Phys. A, Math. Gen. 33, 247 (2000)MATHADSMathSciNetCrossRefGoogle Scholar
- Hess, S., Hayter, J.B., Pynn, R.: Molec. Phys. 43, 1527 (1985)Google Scholar
- Saldivar-Guerrero R., et al., Magnetohydrodynamics 41, 3 (2005)Google Scholar
- Butter, K., Bomans, P.H., Frederik, P.M., Vroege, G.J., Philipse, A.P.: Nat. Mater. 2, 88 (2003)ADSCrossRefGoogle Scholar
- Donselaar, L.N., et al., J. Magn. Magn. Mater. 201, 58 (1999)ADSCrossRefGoogle Scholar
- Butter, K., Bomans, P.H., Frederik, P.M., Vroege, G.J., Philipse, A.P.: J. Phys. Cond. Mat. 15, S1451 (2003)ADSCrossRefGoogle Scholar
- Hess, S., J. Non-Equilib. Thermodyn. 11, 175 (1986)MATHCrossRefADSGoogle Scholar
- Zubarev A.Y., Iskakova, L.Y.: Phys. Rev. E 61, 5415 (2000)ADSCrossRefGoogle Scholar
- Zubarev, A.Y., JETP 93, 80 (2001)ADSCrossRefGoogle Scholar
- Zubarev, A.Y.: Odenbach, S., Fleischer, J.: J. Magn. Magn. Mater. 252, 241 (2002)ADSCrossRefGoogle Scholar
- Barrat J.-L., Hansen, J.-P.: Basic concepts for simple and complex liquids Cambridge University Press (2003)Google Scholar
- Parsons, J.D.: Phys. Rev. A 17, 2067 (1981)Google Scholar
- Onsager, L.: Ann. (N. Y.) Acad. Sci. 51, 627 (1949)ADSCrossRefGoogle Scholar
- Cates M.E., Candau, S.J.: Condens. Matter 2, 6869 (1990)ADSCrossRefGoogle Scholar
- Klokkenburg, M., Dullens, R.P.A., Kegel, W.K., Erné, B.H., Philipse, A.P.: Phys. Rev. Lett. 96, 037203 (2006)ADSCrossRefGoogle Scholar
- Ivanov, A.O., Wang, Z., Holm, C.: Phys. Rev. E , 031206 (2004)Google Scholar
- Mendelev V.S., Ivanov, A.O.: Phys. Rev. E 70, 051502 (2004)ADSCrossRefGoogle Scholar
- Ivanov, A.O., Kantorovich, S.S., Mendelev, V.S., Pyanzina, E.S.: J. Magn. Magn. Mater. 300, e206 (2006)ADSCrossRefGoogle Scholar
- Holm, C., Ivanov, A.O., Kantorovich, S.S., Pyanzina, E.S., J. Phys. Chem. 220, 105 (2006)Google Scholar
- Huang, J.P., Wang, Z.W., Holm, C.: Phys. Rev. E 71, 061203 (2005)ADSCrossRefGoogle Scholar
- Szalai I., Dietrich, S.: Molec. Phys. 103, 2873 (2005)ADSCrossRefGoogle Scholar
- Kantorovich, S.S., J. Magn. Magn. Mater. 289, 203 (2005)ADSCrossRefGoogle Scholar
- Kristóf T., Szalai, I.: Phys. Rev. E 68, 041109 (2003)ADSCrossRefGoogle Scholar
- Holm, C., Ivanov, A.O., Kantorovich, S.S., Pyanzina, E.: Z. Phys. Chem. 220, 105 (2006)Google Scholar
- Huang J., Holm, C.: Phys. Rev. E 70, 061404 (2004)ADSCrossRefGoogle Scholar
- Klapp, S.H.L.: J. Phys. Cond. Mat. 17, R525 (2005)ADSCrossRefGoogle Scholar
- Levin, Y.: J. Phys. Cond. Mat. 14, 2303 (2002)ADSCrossRefGoogle Scholar
- Levin, Y.: Phys. Rev. Lett. 83, 1159 (1999)ADSCrossRefGoogle Scholar
- Zhang H., Widom, M.: Phys. Rev. E 49, R3591 (1994)ADSCrossRefGoogle Scholar
- Ten Wolde, P.R., Oxtoby, D.W., Frenkel, D.: J. Chem. Phys. 111, 4762 (1999)ADSCrossRefGoogle Scholar
- van Leeuwen M.E., Smit, B.: Phys. Rev. Lett. 71, 3991 (1993)ADSCrossRefGoogle Scholar
- Tlusty T., Safran, S.A.: Science 290, 1328 (2000)ADSCrossRefGoogle Scholar
- Zubarev, A.Y., Iskakova, L.Y.: Phys. Rev. E 65, 061406 (2002)ADSCrossRefGoogle Scholar
- Zubarev, A.Y., Iskakova, L. Y.: Physica A 335, 325 (2004)ADSCrossRefGoogle Scholar
- Zubarev, A.Y., Iskakova, L.Y.: Physica A 343, 65 (2004)ADSGoogle Scholar
- Klokkenburg, M., et al., J. Am. Chem. Soc. 126, 16706 (2004)CrossRefGoogle Scholar
- Hong, C.-Y., et al., J. Appl. Phys. 81 (1997)Google Scholar
- Lalatonne, Y., Richardi, J., Pileni, M.P., Nat. Mater. 3, 121 (2004)ADSCrossRefGoogle Scholar
- Wiedenmann, A., Hoell, A., Kammel, M., Boesecke, P.: Phys. Rev. E 68, 031203 (2003)ADSCrossRefGoogle Scholar
- Wiedenmann, A.: Physica B 356, 246 (2005)ADSCrossRefGoogle Scholar
- Hess, S.: Structure and dynamics of oriented ferrofluids. In: Safran, S. A., Clark, N. A. (eds) Physics of complex and supramolecular fluids, pp. 631–642, Wiley-Interscience, New York, (1987)Google Scholar
- Gazeau F., et al., Phys. Rev. E , 031403 (2002)Google Scholar
- Hoell, A., Wiedenmann, A., Heyen, U., Schüler, D.: Physica B 350, e309 (2005)CrossRefGoogle Scholar
- Cebers, A.: Magnetohydrodynamics 20, 343 (1984)Google Scholar
- Felderhof, B.U.: J. Chem. Phys. 117, 3583 (2002)ADSCrossRefGoogle Scholar
- Clark N.A., Ackerson, B.J.: Phys. Rev. Lett. 44, 1005 (1980)ADSCrossRefGoogle Scholar
- Hess, S.: Phys. Rev. A 22, 2844 (1980)ADSCrossRefGoogle Scholar
- Jansons, K.M.: J. Fluid Mech. 137, 187 (1983)MATHADSCrossRefGoogle Scholar
- Cebers, A.: Magnetohydrodynamics 20, 349 (1984)Google Scholar
- Asokan K., Ramamohan, T.R.: Phys. Fluids 16, 433 (2004)ADSCrossRefGoogle Scholar
- Strand S.R., Kim, S.: Rheol. Acta 31, 94 (1992)CrossRefGoogle Scholar
- Rubi, J.M., Salueña, C., Pérez-Madrid, A.: J. Magn. Magn. Mater. 122, 193 (1993)ADSCrossRefGoogle Scholar
- Salueña, C., Pérez-Madrid, A., Rubi, J.M.: J. Colloid Interface Sci. 164, 269 (1994)CrossRefGoogle Scholar
- Bees, M.A., Hill, N.A., Pedley, T.J: J. Math. Biol. 36, 269 (1998)MATHMathSciNetCrossRefGoogle Scholar
- Ilg, P., Kröger, M., Hess, S.: Magnetohydrodynamics 39, 41 (2003)ADSGoogle Scholar
- Ilg, P., Kröger, M., Hess, S., Zubarev, A.Y.: Phys. Rev. E 67, 061401 (2003)ADSCrossRefGoogle Scholar
- Brenner, H., Condiff, D.W.: J. Colloid Interface Sci. 47, 199 (1974)CrossRefGoogle Scholar
- Kröger, M.: Models for polymeric and anisotropic liquids, vol. 675 of Lecture Notes in Phys. Springer, Berlin (2005)Google Scholar
- Krishnamurthy, V.V., et al., Phys. Rev. E 67, 051406 (2003)ADSCrossRefGoogle Scholar
- Bhandar, A.S., Piao, M., Lane, A.M., Wiest, J.M.: J. Colloid Interface Sci. 268, 246 (2003)CrossRefGoogle Scholar
- Hess, S.: Z. Naturforsch. 31a, 1034 (1976)ADSGoogle Scholar
- Gorban, A.N., Karlin, I.V.: Invariant manifolds for physical and chemical kinetics, vol. 660 of Lecture Notes in Physics, Springer, Berlin, (2005)Google Scholar
- Balian, R.: From Microphysics to Macrophysics. Vol. 2: Methods and Applications of Statistical Physics, Springer–Verlag, Berlin, 2nd edn. (1992)Google Scholar
- Gorban, A.N., Karlin, I.V., Ilg, P., Öttinger, H.C.: J. Non-Newtonian Fluid Mech. 96, 203 (2001)MATHCrossRefGoogle Scholar
- Ilg, P.: Reduced Description of Kinetic Models of Polymer Dynamics, Wissenschaft & Technik Verlag, Berlin, 2002.Google Scholar
- Ilg, P.: Karlin, I.V., Öttinger, H.C.: Physica A 315, 367 (2002)MATHADSCrossRefGoogle Scholar
- Embs, J.P., et al., Phys. Rev. E 73, 036302 (2006)ADSCrossRefGoogle Scholar
- Leschhorn, A., Lücke, M.: Z. Phys. Chem. 220, 219 (2006)Google Scholar
- Zubarev A.Y., Iskakova, L.Y.: Magnetohydrodynamics 40, 65 (2004)ADSGoogle Scholar
- Odenbach S., Müller, H.W.: J. Magn. Magn. Mater. 289, 242 (2005)ADSCrossRefGoogle Scholar
- Ericksen, J.L.: Arch. Ration. Mech. Anal. 4, 231 (1960)MATHMathSciNetCrossRefGoogle Scholar
- Leslie, F.M.: Arch. Ration. Mech. Anal. 28, 256 (1968)MathSciNetCrossRefGoogle Scholar
- Rubi, J.M., Salueña, C., Pérez-Madrid, A.: Ferrofluids. Hydrodynamical and statistical aspects, In:Garrido, (ed.) Complex Fluids, Lecture Notes in Physics, Springer, Berlin (1993).Google Scholar
- Eberbeck, D., et al., J. Magn. Magn. Mater. 289, 70 (2005)ADSCrossRefGoogle Scholar
- Bacri, J.-C., et al., Phys. Rev. Lett. 74, 5032 (1995)ADSCrossRefGoogle Scholar
- Bacri, J.-C., et al., Phys. Rev. E 52, 3936 (1995)ADSCrossRefGoogle Scholar
- Lal, J., Abernathy, D., Auvray, L., Diat, O., Grübel, G.: Eur. Phys. J. E 4, 263 (2001)CrossRefGoogle Scholar
- Robert, A., Wagner, J., Autenrieth, T., Hartl, W., Grubel, G.: J. Chem. Phys. 122, 84701 (2005)CrossRefGoogle Scholar
- Wagner, J., Fischer, B., and Authenrieth, T.: J. Chem. Phys. 124, 114901 (2006)ADSCrossRefGoogle Scholar
- Hernández-Contreras, M., González-Mozuelos, P., Alarcón-Waess, O., Ruíz-Estrada, H.: Phys. Rev. E 57, 1817 (1998)ADSCrossRefGoogle Scholar
- Hernández-Contreras, M., Ruíz-Estrada, H.: Phys. Rev. E 68, 031202 (2003)ADSCrossRefGoogle Scholar
- Ilg, P., Phys. Rev. E 71, 051407 (2005)ADSCrossRefGoogle Scholar
- Pop, L., Hilljegerdes, J., Odenbach, S.: Magnetohydrodynamics 39, 91 (2003)ADSGoogle Scholar
- Odenbach, S., Rylewicz, T., Heyen, M.: J. Magn. Magn. Mater. 201, 155 (1999)ADSCrossRefGoogle Scholar