Superparamagnetic colloids in viscous fluids

[en] The influence of a magnetic field on the aggregation process of superparamagnetic colloids has been well known on short time for a few decades. However, the influence of important parameters, such as viscosity of the liquid, has received only little attention. Moreover, the equilibrium state reached after a long time is still challenging on some aspects. Indeed, recent experimental measurements show deviations from pure analytical models in extreme conditions. Furthermore, current simulations would require several years of computing time to reach equilibrium state under those conditions. In the present paper, we show how viscosity influences the characteristic time of the aggregation process, with experimental measurements in agreement with previous theories on transient behaviour. Afterwards, we performed numerical simulations on equivalent systems with lower viscosities. Below a critical value of viscosity, a transition to a new aggregation regime is observed and analysed. We noticed this result can be used to reduce the numerical simulation time from several orders of magnitude, without modifying the intrinsic physical behaviour of the particles. However, it also implies that, for high magnetic fields, granular gases could have a very different behaviour from colloidal liquids.

Research Center/Unit :

CESAM - Complex and Entangled Systems from Atoms to Materials - ULiège

Disciplines :

Physics

Author, co-author :

Darras, Alexis ; Université de Liège > Département de physique > Physique expér. de la matière molle et des syst. complexes

Opsomer, Eric ; Université de Liège > Département de physique > Physique statistique

Vandewalle, Nicolas ; Université de Liège > Département de physique > Physique statistique

Lumay, Geoffroy ; Université de Liège > Département de physique > Physique expér. de la matière molle et des syst. complexes

Language :

English

Title :

Superparamagnetic colloids in viscous fluids

Publication date :

10 August 2017

Journal title :

Scientific Reports

eISSN :

2045-2322

Publisher :

Nature Publishing Group, London, United Kingdom

Volume :

Pages :

7778

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://www.nature.com/articles/s41598-017-07917-y

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique

Available on ORBi :

since 16 September 2017

Statistics

Number of views

155 (30 by ULiège)

Number of downloads

232 (15 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

OpenAlex citations

Bibliography

Faraudo, J., Andreu, J. S. & Camacho, J. Understanding diluted dispersions of superparamagnetic particles under strong magnetic fields: a review of concepts theor and simulations Soft Matter 9 6654–6664 (2013)
,, 2. Faraudo, J. & Camacho, J. Cooperative magnetophoresis of superparamagnetic colloids: theoretical aspects. Colloid Polym. Sci. 288, 207–215 (2010)
Tavacoli, J. W. et al. The fabrication and directed self-assembly of micron-sized superparamagnetic non-spherical particles. Soft Matter 9, 9103–9110 (2013).
Corchero, J. L. & Villaverde, A. Biomedical applications of distally controlled magnetic nanoparticles. Trends Biotechnol. 27, 468–476 (2009).
Kozissnik, B., Bohorquez, A. C., Dobson, J. & Rinaldi, C. Magnetic fluid hyperthermia: advances, challenges, and opportunity. International Journal of Hyperthermia 29, 706–714 (2013).
Pankhurst, Q., Thanh, N., Jones, S. & Dobson, J. Progress in applications of magnetic nanoparticles in biomedicine. Journal of Physics D: Applied Physics 42, 224001 (2009).
Colombo, M. et al. Biological applications of magnetic nanoparticles. Chemical Society Reviews 41, 4306–4334 (2012).
Yavuz, C. T., Prakash, A., Mayo, J. & Colvin, V. L. Magnetic separations: from steel plants to biotechnology. Chem. Eng. Sci. 64, 2510–2521 (2009).
Yavuz, C. T. et al. Low-field magnetic separation of monodisperse fe3o4 nanocrystals. Science 314, 964–967 (2006).
Krishnan, K. M. Biomedical nanomagnetics: a spin through possibilities in imaging, diagnostics, and therapy. IEEE Trans. Magn. 46, 2523–2558 (2010).
Jeong, U., Teng, X., Wang, Y., Yang, H. & Xia, Y. Superparamagnetic colloids: controlled synthesis and niche applications. Adv. Mater. 19, 33 (2007).
Andreu, J. S., Camacho, J. & Faraudo, J. Aggregation of superparamagnetic colloids in magnetic fields: the quest for the equilibrium state. Soft Matter 7, 2336–2339 (2011).
Gajula, G. P., Neves-Petersen, M. T. & Petersen, S. B. Visualization and quantification of four steps in magnetic field induced two-dimensional ordering of superparamagnetic submicron particles. Appl. Phys. Lett. 97, 103103 (2010).
Khalil, K. S. et al. Binary colloidal structures assembled through ising interactions. Nat. Commun. 3, 794 (2012).
Gurevich, Y., Mankov, Y. & Khlebopros, R. Self-assembly of superparamagnetic ferrihydrite nanoparticles. Dokl. Phys. 11, 478–481 (2013).
Martinez-Pedrero, F. & Tierno, P. Magnetic propulsion of self-assembled colloidal carpets: Efficient cargo transport via a conveyor-belt effect. Phys. Rev. Applied 3, 051003, doi:10.1103/PhysRevApplied.3.051003 (2015).
Carstensen, H., Kapaklis, V. & Wolff, M. Phase formation in colloidal systems with tunable interaction. Phys. Rev. E 92, 012303, doi:10.1103/PhysRevE.92.012303 (2015).
Müller, K. et al. Pattern formation and coarse-graining in two-dimensional colloids driven by multiaxial magnetic fields. Langmuir 30, 5088–5096 (2014).
Llera, M., Codnia, J. & Jorge, G. A. Aggregation dynamics and magnetic properties of magnetic micrometer-sized particles dispersed in a fluid under the action of rotating magnetic fields. J. Magn. Magn. Matter 384, 93–100 (2015).
Erb, R. M., Son, H. S., Samanta, B., Rotello, V. M. & Yellen, B. B. Magnetic assembly of colloidal superstructures with multipole symmetry. Nature 457, 999–1002 (2009).
Löwen, H. Colloidal dispersions in external fields: recent developments. Journal of Physics: Condensed Matter 20, 404201 (2008).
Froltsov, V., Blaak, R., Likos, C. & Löwen, H. Crystal structures of two-dimensional magnetic colloids in tilted external magnetic fields. Physical Review E 68, 061406 (2003).
Martinez-Pedrero, F. & Tierno, P. Magnetic propulsion of self-assembled colloidal carpets: Efficient cargo transport via a conveyor-belt effect. Phys. Rev. Applied 3, 051003 (2015).
Martinez-Pedrero, F., Ortiz-Ambriz, A., Pagonabarraga, I. & Tierno, P. Colloidal microworms propelling via a cooperative hydrodynamic conveyor belt. Phys. Rev. Lett. 115, 138301 (2015).
Carstensen, H., Kapaklis, V. & Wolff, M. Phase formation in colloidal systems with tunable interaction. Phys. Rev. E 92, 012303 (2015).
Liu, P., De Folter, J. W., Petukhov, A. V. & Philipse, A. P. Reconfigurable assembly of superparamagnetic colloids confined in thermo-reversible microtubes. Soft Matter 11, 6201–6211 (2015).
Blair, D. L. & Kudrolli, A. Clustering transitions in vibrofluidized magnetized granular materials. Physical Review E 67, 021302 (2003).
Domínguez-García, P., Pastor, J. & Rubio, M. Aggregation and disaggregation dynamics of sedimented and charged superparamagnetic micro-particles in water suspension. Eur. Phys. J. E 34, 1–7 (2011).
Domínguez-García, P., Melle, S., Pastor, J. & Rubio, M. Scaling in the aggregation dynamics of a magnetorheological fluid. Phys. Rev. E 76, 051403 (2007).
Merminod, S., Jamin, T., Falcon, E. & Berhanu, M. Transition to a labyrinthine phase in a driven granular medium. Physical Review E 92, 062205 (2015).
Edmond, K. V. et al. Tracking the brownian diffusion of a colloidal tetrahedral cluster. Chaos-Woodbury 21, 041103 (2011).
Dreyfus, R. et al. Microscopic artificial swimmers. Nature 437, 862–865 (2005).
Everett, D. H. Basic principles of colloid science (Royal Society of Chemistry, 1988).
Israelachvili, J. N. Intermolecular and surface forces: revised third edition (Academic press, 2011).
Royall, C. P., Poon, W. C. & Weeks, E. R. In search of colloidal hard spheres. Soft Matter 9, 17–27 (2013).
Promislow, J. H., Gast, A. P. & Fermigier, M. Aggregation kinetics of paramagnetic colloidal particles. J. Chem. Phys. 102, 5492–5498 (1995).
Fraden, S., Hurd, A. J. & Meyer, R. B. Electric-field-induced association of colloidal particles. Phys. Rev. Lett. 63, 2373 (1989).
Kolb, M. Unified description of static and dynamic scaling for kinetic cluster formation. Phys. Rev. Lett. 53, 1653 (1984).
Martínez-Pedrero, F., Tirado-Miranda, M., Schmitt, A. & Callejas-Fernández, J. Formation of magnetic filaments: A kinetic study. Phys. Rev. E 76, 011405 (2007).
Miyazima, S., Meakin, P. & Family, F. Aggregation of oriented anisotropic particles. Phys. Rev. A 36, 1421 (1987).
Ezzaier, H. et al. Two-stage kinetics of field-induced aggregation of medium-sized magnetic nanoparticles. The Journal of Chemical Physics 146, 114902 (2017).
Darras, A., Fiscina, J., Vandewalle, N. & Lumay, G. Relating brownian motion to diffusion with superparamagnetic colloids. American Journal of Physics 85, 265–270 (2017).
Faraudo, J., Andreu, J. S., Calero, C. & Camacho, J. Predicting the self-assembly of superparamagnetic colloids under magnetic fields. Advanced Functional Materials 3837 (2016).
Darras, A., Fiscina, J., Pakpour, M., Vandewalle, N. & Lumay, G. Ribbons of superparamagnetic colloids in magnetic field. The European Physical Journal E 39, 1–6 (2016).
Messina, R., Khalil, L. A. & Stanković, I. Self-assembly of magnetic balls: From chains to tubes. Physical Review E 89, 011202 (2014).
Vandewalle, N. & Dorbolo, S. Magnetic ghosts and monopoles. New Journal of Physics 16, 013050 (2014).
Cheng, N.-S. Formula for the viscosity of a glycerol-water mixture. Industrial & engineering chemistry research 47, 3285–3288 (2008).
Suwa, M. & Watarai, H. Magnetoanalysis of micro/nanoparticles: a review. Anal. Chim. Acta 690, 137–147 (2011).
De Las Cuevas, G., Faraudo, J. & Camacho, J. Low-gradient magnetophoresis through field-induced reversible aggregation. J. Phys. Chem. C 112, 945–950 (2008).
Ally, J. & Amirfazli, A. Magnetophoretic measurement of the drag force on partially immersed microparticles at air–liquid interfaces. Colloids Surf., A 360, 120–128 (2010).
Rojas, N., Darras, A. & Lumay, G. Self-assembly processes of superparamagnetic colloids. to be published (2017).
Pöschel, T. & Schwager, T. Computational granular dynamics: models and algorithms (Springer Science & Business Media, 2005).
Radjaï, F. & Dubois, F. Discrete-element modeling of granular materials (Wiley-Iste, 2011).
Ooi, J. Y., Magnanimo, V., Sun, J. & Luding, S. Particle modelling with the discrete element method: A success story of pardem. Powder technology 293, 1–2 (2016).
Welling, U. & Germano, G. Efficiency of linked cell algorithms. Computer Physics Communications 182, 611–615 (2011).
Pottier, N. Physique statistique hors d’équilibre: processus irréversibles linéaires (EDP Sciences, 2007).
Peng, Z., Doroodchi, E. & Evans, G. Dem simulation of aggregation of suspended nanoparticles. Powder Technology 204, 91–102 (2010).
Li, A. & Ahmadi, G. Dispersion and deposition of spherical particles from point sources in a turbulent channel flow. Aerosol science and technology 16, 209–226 (1992).