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Tanjeem N, Kreienbrink KM, Hayward RC. Modulating photothermocapillary interactions for logic operations at the air-water interface. Soft Matter 2024; 20:1689-1693. [PMID: 38323528 DOI: 10.1039/d3sm01487h] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/08/2024]
Abstract
We demonstrate a system for performing logical operations (OR, AND, and NOT gates) at the air-water interface based on Marangoni optical trapping and repulsion between photothermal particles. We identify a critical separation distance at which the trapped particle assemblies become unstable, providing insight into the potential for scaling to larger arrays of logic elements.
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Affiliation(s)
- Nabila Tanjeem
- Department of Chemical and Biological Engineering, University of Colorado, Boulder, Colorado 80303, USA.
- Department of Physics, California State University, Fullerton, California 92831, USA
| | - Kendra M Kreienbrink
- Materials Science and Engineering Program, University of Colorado, Boulder, Colorado 80303, USA
| | - Ryan C Hayward
- Department of Chemical and Biological Engineering, University of Colorado, Boulder, Colorado 80303, USA.
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2
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Bronte Ciriza D, Callegari A, Donato MG, Çiçek B, Magazzù A, Kasianiuk I, Kasyanyuk D, Schmidt F, Foti A, Gucciardi PG, Volpe G, Lanza M, Biancofiore L, Maragò OM. Optically Driven Janus Microengine with Full Orbital Motion Control. ACS Photonics 2023; 10:3223-3232. [PMID: 37743937 PMCID: PMC10515694 DOI: 10.1021/acsphotonics.3c00630] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 05/11/2023] [Indexed: 09/26/2023]
Abstract
Microengines have shown promise for a variety of applications in nanotechnology, microfluidics, and nanomedicine, including targeted drug delivery, microscale pumping, and environmental remediation. However, achieving precise control over their dynamics remains a significant challenge. In this study, we introduce a microengine that exploits both optical and thermal effects to achieve a high degree of controllability. We find that in the presence of a strongly focused light beam, a gold-silica Janus particle becomes confined at the stationary point where the optical and thermal forces balance. By using circularly polarized light, we can transfer angular momentum to the particle, breaking the symmetry between the two forces and resulting in a tangential force that drives directed orbital motion. We can simultaneously control the velocity and direction of rotation of the particle changing the ellipticity of the incoming light beam while tuning the radius of the orbit with laser power. Our experimental results are validated using a geometrical optics phenomenological model that considers the optical force, the absorption of optical power, and the resulting heating of the particle. The demonstrated enhanced flexibility in the control of microengines opens up new possibilities for their utilization in a wide range of applications, including microscale transport, sensing, and actuation.
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Affiliation(s)
| | - Agnese Callegari
- Department
of Physics, University of Gothenburg, SE-41296 Gothenburg, Sweden
| | | | - Berk Çiçek
- Department
of Mechanical Engineering, Bilkent University, TR-06800, Ankara, Turkey
| | - Alessandro Magazzù
- CNR-IPCF,
Istituto per i Processi Chimico-Fisici, I-98158, Messina, Italy
| | - Iryna Kasianiuk
- Department
of Mechanical Engineering, Bilkent University, TR-06800, Ankara, Turkey
- UNAM
- National Nanotechnology Research Center and Institute of Materials
Science & Nanotechnology, Bilkent University, 06800 Ankara, Turkey
| | - Denis Kasyanyuk
- Department
of Mechanical Engineering, Bilkent University, TR-06800, Ankara, Turkey
- UNAM
- National Nanotechnology Research Center and Institute of Materials
Science & Nanotechnology, Bilkent University, 06800 Ankara, Turkey
| | - Falko Schmidt
- Nanophotonic
Systems Laboratory, Department of Mechanical and Process Engineering, ETH Zurich, CH-8092, Zurich, Switzerland
| | - Antonino Foti
- CNR-IPCF,
Istituto per i Processi Chimico-Fisici, I-98158, Messina, Italy
| | | | - Giovanni Volpe
- Department
of Physics, University of Gothenburg, SE-41296 Gothenburg, Sweden
| | - Maurizio Lanza
- CNR-IPCF,
Istituto per i Processi Chimico-Fisici, I-98158, Messina, Italy
| | - Luca Biancofiore
- Department
of Mechanical Engineering, Bilkent University, TR-06800, Ankara, Turkey
- UNAM
- National Nanotechnology Research Center and Institute of Materials
Science & Nanotechnology, Bilkent University, 06800 Ankara, Turkey
| | - Onofrio M. Maragò
- CNR-IPCF,
Istituto per i Processi Chimico-Fisici, I-98158, Messina, Italy
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3
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Abstract
Due to its contactless and fuel-free operation, optical rotation of micro-/nano-objects provides tremendous opportunities for cellular biology, three-dimensional (3D) imaging, and micro/nanorobotics. However, complex optics, extremely high operational power, and the applicability to limited objects restrict the broader use of optical rotation techniques. This Feature Article focuses on a rapidly emerging class of optical rotation techniques, termed optothermal rotation. Based on light-mediated thermal phenomena, optothermal rotation techniques overcome the bottlenecks of conventional optical rotation by enabling versatile rotary control of arbitrary objects with simpler optics using lower powers. We start with the fundamental thermal phenomena and concepts: thermophoresis, thermoelectricity, thermo-electrokinetics, thermo-osmosis, thermal convection, thermo-capillarity, and photophoresis. Then, we highlight various optothermal rotation techniques, categorizing them based on their rotation modes (i.e., in-plane and out-of-plane rotation) and the thermal phenomena involved. Next, we explore the potential applications of these optothermal manipulation techniques in areas such as single-cell mechanics, 3D bio-imaging, and micro/nanomotors. We conclude the Feature Article with our insights on the operating guidelines, existing challenges, and future directions of optothermal rotation.
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Affiliation(s)
- Hongru Ding
- Walker Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX 78712, USA
| | - Zhihan Chen
- Materials Science & Engineering Program and Texas Materials Institute, The University of Texas at Austin, Austin, TX 78712, USA.
| | - Carolina Ponce
- Walker Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX 78712, USA
| | - Yuebing Zheng
- Walker Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX 78712, USA
- Materials Science & Engineering Program and Texas Materials Institute, The University of Texas at Austin, Austin, TX 78712, USA.
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4
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Deng J, Molaei M, Chisholm NG, Yao T, Read A, Stebe KJ. Active Colloids on Fluid Interfaces. Curr Opin Colloid Interface Sci 2022. [DOI: 10.1016/j.cocis.2022.101629] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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5
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Bai W, Shao M, Zhou J, Zhao Q, Ji F, Zhong MC. An opto-thermal approach for rotating a trapped core-shell magnetic microparticle with patchy shell. Rev Sci Instrum 2022; 93:084902. [PMID: 36050094 DOI: 10.1063/5.0092384] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/22/2022] [Accepted: 07/18/2022] [Indexed: 06/15/2023]
Abstract
The ability to trap and rotate magnetic particles has important applications in biophysical research and optical micromachines. However, it is difficult to achieve the spin rotation of magnetic particles with optical tweezers due to the limit in transferring spin angular momentum of light. Here, we propose a method to obtain controlled spin rotation of a magnetic microparticle by the phoretic torque, which is originated from inhomogeneous heating of the microparticle's surface. The microparticle is trapped and rotated nearby the laser focus center. The rotation frequency is several Hertz and can be controlled by adjusting the laser power. Our work provides a method to the study of optical rotation of microscopic magnetic particles, which will push toward both translational and rotational manipulation of the microparticles simultaneously in a single optical trap.
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Affiliation(s)
- Wen Bai
- Anhui Province Key Laboratory of Measuring Theory and Precision Instrument, School of Instrument Science and Optoelectronics Engineering, Hefei University of Technology, Hefei 230009, China
| | - Meng Shao
- Anhui Province Key Laboratory of Measuring Theory and Precision Instrument, School of Instrument Science and Optoelectronics Engineering, Hefei University of Technology, Hefei 230009, China
| | - Jinhua Zhou
- Department of Biomedical Engineering, Anhui Medical University, Hefei 230032, China
| | - Qian Zhao
- Shandong Provincial Engineering and Technical Center of Light Manipulations and Shandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University, Jinan 250358, China
| | - Feng Ji
- Anhui Province Key Laboratory of Measuring Theory and Precision Instrument, School of Instrument Science and Optoelectronics Engineering, Hefei University of Technology, Hefei 230009, China
| | - Min-Cheng Zhong
- Anhui Province Key Laboratory of Measuring Theory and Precision Instrument, School of Instrument Science and Optoelectronics Engineering, Hefei University of Technology, Hefei 230009, China
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6
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Abstract
Motors that can convert different forms of energy into mechanical work are of profound importance to the development of human societies. The evolution of micromotors has stimulated many advances in drug delivery and microrobotics for futuristic applications in biomedical engineering and nanotechnology. However, further miniaturization of motors toward the nanoscale is still challenging because of the strong Brownian motion of nanomotors in liquid environments. Here, we develop light-driven opto-thermocapillary nanomotors (OTNM) operated on solid substrates where the interference of Brownian motion is effectively suppressed. Specifically, by optically controlling particle-substrate interactions and thermocapillary actuation, we demonstrate the robust orbital rotation of 80 nm gold nanoparticles around a laser beam on a solid substrate. With on-chip operation capability in an ambient environment, our OTNM can serve as light-driven engines to power functional devices at the nanoscale.
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Affiliation(s)
- Jingang Li
- Materials Science and Engineering Program and Texas Materials Institute, The University of Texas at Austin, Austin, Texas 78712, United States
| | - Pavana Siddhartha Kollipara
- Walker Department of Mechanical Engineering, The University of Texas at Austin, Austin, Texas 78712, United States
| | - Ya Liu
- State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China
| | - Kan Yao
- Walker Department of Mechanical Engineering, The University of Texas at Austin, Austin, Texas 78712, United States
| | - Yaoran Liu
- Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, Texas 78712, United States
| | - Yuebing Zheng
- Materials Science and Engineering Program and Texas Materials Institute, The University of Texas at Austin, Austin, Texas 78712, United States
- Walker Department of Mechanical Engineering, The University of Texas at Austin, Austin, Texas 78712, United States
- Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, Texas 78712, United States
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7
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Araki T, Gomez-Solano JR, Maciołek A. Relaxation to steady states of a binary liquid mixture around an optically heated colloid. Phys Rev E 2022; 105:014123. [PMID: 35193287 DOI: 10.1103/physreve.105.014123] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2021] [Accepted: 01/06/2022] [Indexed: 06/14/2023]
Abstract
We study the relaxation dynamics of a binary liquid mixture near a light-absorbing Janus particle after switching on and off illumination using experiments and theoretical models. The dynamics is controlled by the temperature gradient formed around the heated particle. Our results show that the relaxation is asymmetric: The approach to a nonequilibrium steady state is much slower than the return to thermal equilibrium. Approaching a nonequilibrium steady state after a sudden temperature change is a two-step process that overshoots the response of spatial variance of the concentration field. The initial growth of concentration fluctuations after switching on illumination follows a power law in agreement with the hydrodynamic and purely diffusive model. The energy outflow from the system after switching off illumination is well described by a stretched exponential function of time with characteristic time proportional to the ratio of the energy stored in the steady state to the total energy flux in this state.
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Affiliation(s)
- Takeaki Araki
- Department of Physics, Kyoto University, Kyoto 606-8502, Japan
| | - Juan Ruben Gomez-Solano
- Instituto de Física, Universidad Nacional Autónoma de Mexico, Ciudad de Mexico, Código Postal 04510, Mexico
| | - Anna Maciołek
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, PL-01-224 Warsaw, Poland
- Max-Planck-Institut für Intelligente Systeme Stuttgart, Heisenbergstraße 3, D-70569 Stuttgart, Germany
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8
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Vialetto J, Rudiuk S, Morel M, Baigl D. Photothermally Reconfigurable Colloidal Crystals at a Fluid Interface, a Generic Approach for Optically Tunable Lattice Properties. J Am Chem Soc 2021; 143:11535-11543. [PMID: 34309395 DOI: 10.1021/jacs.1c04220] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022]
Abstract
Optically addressable colloidal assembly at fluid interfaces is a highly desired component to generate reconfigurable 2D materials but has rarely been achieved and only with specific interface engineering. Here we describe a generic method to get optically reconfigurable colloidal crystals at the air/water interface and emphasize a new mechanism to convert light into tunable lattice properties. We use light-absorbing anionic particles adsorbed at the air/water interface in the presence of minute amounts of cationic surfactant, which self-assembled into closely packed polycrystalline structures by collectively deforming the surrounding interface. Low-intensity irradiation of these colloidal crystals results in unprecedented control of the interparticle spacing in a preserved crystalline state while, at a higher intensity, cycles of melting/recrystallization with a controllable transition kinetics can be achieved upon successive on/off stimulations. We show that this photoreversible melting originates from an initial thermocapillary stress, expanding the colloidal assembly against the local confinement, and an increase in particles diffusivity imposing the transition kinetics. With this mechanism, local irradiation leads to highly dynamic patterns, including self-healing or self-fed "living" crystals, while multiresponsive assembly is also achieved by controlling particle organization with both light and magnetic stimuli.
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Affiliation(s)
- Jacopo Vialetto
- PASTEUR, Department of Chemistry, École Normale Supérieure, PSL University, Sorbonne Université, CNRS, 75005 Paris, France
| | - Sergii Rudiuk
- PASTEUR, Department of Chemistry, École Normale Supérieure, PSL University, Sorbonne Université, CNRS, 75005 Paris, France
| | - Mathieu Morel
- PASTEUR, Department of Chemistry, École Normale Supérieure, PSL University, Sorbonne Université, CNRS, 75005 Paris, France
| | - Damien Baigl
- PASTEUR, Department of Chemistry, École Normale Supérieure, PSL University, Sorbonne Université, CNRS, 75005 Paris, France
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9
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Abstract
Living or artificial self-propelled colloidal particles show original dynamics when they interact with other objects like passive particles, interfaces or membranes. These active colloids can transport small cargos or can be guided by passive objects, performing simple tasks that could be implemented in more complex systems. Here, we present an experimental investigation at the single particle level of the interaction between isolated active colloids and giant unilamellar lipid vesicles. We observed a persistent orbital motion of the active particle around the vesicle, which is independent of both the particle and the vesicle sizes. Force and torque transfers between the active particle and the vesicle is also described. These results differ in many aspects from recent theoretical and experimental reports on active particles interacting with solid spheres or liquid drops, and may be relevant for the study of swimming particles interacting with cells in biology or with microplastics in environmental science.
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Affiliation(s)
- Vaibhav Sharma
- Institut Charles Sadron, CNRS UPR22-University of Strasbourg, 23 rue du Loess, Strasbourg, 67034, France.
| | - Elise Azar
- Institut Charles Sadron, CNRS UPR22-University of Strasbourg, 23 rue du Loess, Strasbourg, 67034, France.
| | - Andre P Schroder
- Institut Charles Sadron, CNRS UPR22-University of Strasbourg, 23 rue du Loess, Strasbourg, 67034, France.
| | - Carlos M Marques
- Institut Charles Sadron, CNRS UPR22-University of Strasbourg, 23 rue du Loess, Strasbourg, 67034, France.
| | - Antonio Stocco
- Institut Charles Sadron, CNRS UPR22-University of Strasbourg, 23 rue du Loess, Strasbourg, 67034, France.
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10
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Ender H, Kierfeld J. From diffusive mass transfer in Stokes flow to low Reynolds number Marangoni boats. Eur Phys J E Soft Matter 2021; 44:4. [PMID: 33580288 PMCID: PMC7880915 DOI: 10.1140/epje/s10189-021-00034-9] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/30/2020] [Accepted: 02/02/2021] [Indexed: 05/09/2023]
Abstract
We present a theory for the self-propulsion of symmetric, half-spherical Marangoni boats (soap or camphor boats) at low Reynolds numbers. Propulsion is generated by release (diffusive emission or dissolution) of water-soluble surfactant molecules, which modulate the air-water interfacial tension. Propulsion either requires asymmetric release or spontaneous symmetry breaking by coupling to advection for a perfectly symmetrical swimmer. We study the diffusion-advection problem for a sphere in Stokes flow analytically and numerically both for constant concentration and constant flux boundary conditions. We derive novel results for concentration profiles under constant flux boundary conditions and for the Nusselt number (the dimensionless ratio of total emitted flux and diffusive flux). Based on these results, we analyze the Marangoni boat for small Marangoni propulsion (low Peclet number) and show that two swimming regimes exist, a diffusive regime at low velocities and an advection-dominated regime at high swimmer velocities. We describe both the limit of large Marangoni propulsion (high Peclet number) and the effects from evaporation by approximative analytical theories. The swimming velocity is determined by force balance, and we obtain a general expression for the Marangoni forces, which comprises both direct Marangoni forces from the surface tension gradient along the air-water-swimmer contact line and Marangoni flow forces. We unravel whether the Marangoni flow contribution is exerting a forward or backward force during propulsion. Our main result is the relation between Peclet number and swimming velocity. Spontaneous symmetry breaking and, thus, swimming occur for a perfectly symmetrical swimmer above a critical Peclet number, which becomes small for large system sizes. We find a supercritical swimming bifurcation for a symmetric swimmer and an avoided bifurcation in the presence of an asymmetry.
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Affiliation(s)
- Hendrik Ender
- Department of Physics, Technische Universität Dortmund, 44221, Dortmund, Germany
| | - Jan Kierfeld
- Department of Physics, Technische Universität Dortmund, 44221, Dortmund, Germany.
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11
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Zhong MC, Liu AY, Ji F. Opto-thermal oscillation and trapping of light absorbing particles. Opt Express 2019; 27:29730-29737. [PMID: 31684230 DOI: 10.1364/oe.27.029730] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/19/2019] [Accepted: 09/24/2019] [Indexed: 06/10/2023]
Abstract
We present an experimental study on opto-thermal oscillation and trapping of light absorbing particles. The oscillation is a three-dimensional motion in the solution. The particles at the lower substrate of the sample cell are driven towards the center of optical trap by the optical force. When the particles arrive at the location near the trap center, the laser heating on the particles results in a strong thermal gradient force that repels the particles to leave the focus spot. Next, the particles slow down under the viscous drag force. At last, the particles settle to the lower substrate of sample cell due to gravity, and restart the new oscillation process. For opto-thermal trapping of the absorbing particles, the particles are dispersed in a thin cell to compress the convention and enhance the viscous resistance. The particles can be trapped close to the spot due to the balance of optical and thermal gradient forces.
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12
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Bickel T. Effect of surface-active contaminants on radial thermocapillary flows. Eur Phys J E Soft Matter 2019; 42:131. [PMID: 31586254 DOI: 10.1140/epje/i2019-11896-5] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/05/2019] [Accepted: 09/10/2019] [Indexed: 06/10/2023]
Abstract
We study the thermocapillary creeping flow induced by a thermal gradient at the liquid-air interface in the presence of insoluble surfactants (impurities). Convective sweeping of the surfactants causes density inhomogeneities that confers in-plane elastic features to the interface. This mechanism is discussed for radially symmetric temperature fields, in both the deep and shallow water regimes. When mass transport is controlled by convection, it is found that surfactants are depleted from a region whose size is inversely proportional to the interfacial elasticity. Both the concentration and the velocity fields follow power laws at the border of the depleted region. Finally, it is shown that this singular behavior is smeared out when molecular diffusion is accounted for.
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Affiliation(s)
- T Bickel
- Univ. Bordeaux, CNRS, Laboratoire Ondes et Matière d'Aquitaine (UMR 5798), 33400, Talence, France.
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13
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Abstract
We consider the spreading dynamics of some insoluble surface-active species along an aqueous interface. The model includes both diffusion, Marangoni convection and first-order reaction kinetics. An exact solution of the nonlinear transport equations is derived in the regime of large Schmidt number, where viscous effects are dominant. We demonstrate that the variance of the surfactant distribution increases linearly with time, providing an unambiguous definition for the enhanced diffusion coefficient observed in the experiments. The model thus presents new insight regarding the actuation of camphor grains at the water-air interface.
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Affiliation(s)
- Thomas Bickel
- Univ. Bordeaux, CNRS, Laboratoire Ondes et Matière d'Aquitaine (UMR 5798), 33400 Talence, France.
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14
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Abstract
Biological or artificial microswimmers move performing trajectories of different kinds such as rectilinear, circular, or spiral ones. Here, we report on circular trajectories observed for active Janus colloids trapped at the air-water interface. Circular motion is due to asymmetric and nonuniform surface properties of the particles caused by fabrication. Motion persistence is enhanced by the partial wetted state of the Janus particles actively moving in two dimensions at the air-water interface. The slowing down of in-plane and out-of-plane rotational diffusions is described and discussed.
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Affiliation(s)
- Xiaolu Wang
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS , 34095 Montpellier, France
| | - Martin In
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS , 34095 Montpellier, France
| | - Christophe Blanc
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS , 34095 Montpellier, France
| | - Alois Würger
- Laboratoire Ondes et Matière d'Aquitaine, Université de Bordeaux, CNRS , 33405 Talence, France
| | - Maurizio Nobili
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS , 34095 Montpellier, France
| | - Antonio Stocco
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS , 34095 Montpellier, France
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15
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Miniewicz A, Quintard C, Orlikowska H, Bartkiewicz S. On the origin of the driving force in the Marangoni propelled gas bubble trapping mechanism. Phys Chem Chem Phys 2017; 19:18695-18703. [DOI: 10.1039/c7cp01986f] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
Particle trajectories around gas bubbles due to Marangoni induced flows of liquid.
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Affiliation(s)
- A. Miniewicz
- Advanced Materials Engineering and Modelling Group
- Faculty of Chemistry
- Wroclaw University of Science and Technology
- 50-370 Wroclaw
- Poland
| | - C. Quintard
- Advanced Materials Engineering and Modelling Group
- Faculty of Chemistry
- Wroclaw University of Science and Technology
- 50-370 Wroclaw
- Poland
| | - H. Orlikowska
- Advanced Materials Engineering and Modelling Group
- Faculty of Chemistry
- Wroclaw University of Science and Technology
- 50-370 Wroclaw
- Poland
| | - S. Bartkiewicz
- Advanced Materials Engineering and Modelling Group
- Faculty of Chemistry
- Wroclaw University of Science and Technology
- 50-370 Wroclaw
- Poland
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