- Letter
- Open Access
Enhanced buoyancy of active particles in convective flows
Phys. Rev. Research 3, L032065 – Published 14 September, 2021
DOI: https://doi.org/10.1103/PhysRevResearch.3.L032065
Abstract
We numerically investigated the diffusion of a heavy active Brownian particle in a linear periodic array of steady planar counter-rotating convection rolls at high Péclet numbers. We show that, under certain conditions, the particle rises to the surface even if it is denser than the suspension fluid, and floats there for exceedingly long times. Such an apparently counterintuitive phenomenon of “enhanced buoyancy” is a combined effect of gravity, advection, and shear torque.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (31)
- R. Kubo, Brownian motion and nonequilibrium statistical mechanics, Science 233, 330 (1986).
- I. I. Blekhman, Vibrational Mechanics (World Scientific, Singapore, 2000).
- B. Apffel, F. Novkoski, A. Eddi, and E. Fort, Floating under a levitating liquid, Nature (London) 585, 48 (2020).
- G. H. Wolf, Dynamic Stabilization of the Interchange Instability of a Liquid-Gas Interface, Phys. Rev. Lett. 24, 444 (1970).
- A. Rosato, K. J. Strandburg, F. Prinz, and R. H. Swendsen, Why the Brazil Nuts are On Top: Size Segregation of Particulate Matter by Shaking, Phys. Rev. Lett. 58, 1038 (1987).
- P. Gajjar, C. G. Johnson, J. Carr, K. Chrispeels, J. M. N. T. Gray, and P. J. Withers, Size segregation of irregular granular materials captured by time-resolved 3D imaging, Sci. Rep. 11, 8352 (2021).
- O. Bénichou, P. Illien, G. Oshanin, A. Sarracino, and R. Voituriez, Microscopic Theory for Negative Differential Mobility in Crowded Environments, Phys. Rev. Lett. 113, 268002 (2014).
- R. K. P. Zia, E. L. Praestgaard, and O. G. Mouritsen, Getting more from pushing less: Negative specific heat and conductivity in nonequilibrium steady states, Am. J. Phys. 70, 384 (2002).
- R. Eichhorn, P. Reimann, and P. Hänggi, Brownian Motion Exhibiting Absolute Negative Mobility, Phys. Rev. Lett. 88, 190601 (2002).
- L. Machura, M. Kostur, P. Talkner, J. Luczka, and P. Hänggi, Absolute Negative Mobility Induced by Thermal Equilibrium Fluctuations, Phys. Rev. Lett. 98, 040601 (2007).
- A. Sarracino, F. Cecconi, A. Puglisi, and A. Vulpiani, Nonlinear Response of Inertial Tracers in Steady Laminar Flows: Differential and Absolute Negative Mobility, Phys. Rev. Lett. 117, 174501 (2016).
- W. Young, A. Pumir, and Y. Pomeau, Anomalous diffusion of tracer in convection rolls, Phys. Fluids A 1, 462 (1989).
- S. Jiang and S. Granick (Eds.), Janus Particle Synthesis, Self-assembly and Applications (RSC Publishing, Cambridge, 2012).
- A. Walther and A. H. E. Müller, Janus particles: Synthesis, self-assembly, physical properties, and applications, Chem. Rev. 113, 5194 (2013).
- M. C. Marchetti, J. F. Joanny, S. Ramaswamy, T. B. Liverpool, J. Prost, M. Rao, and R. A. Simha, Hydrodynamics of soft active matter, Rev. Mod. Phys. 85, 1143 (2013).
- J. Elgeti, R. G. Winkler, and G. Gompper, Physics of microswimmers, single particle motion and collective behavior: A review, Rep. Prog. Phys. 78, 056601 (2015).
- W. M. Durham, E. Climent, and R. Stocker, Gyrotaxis in a Steady Vortical Flow, Phys. Rev. Lett. 106, 238102 (2011).
- G. I. Taylor, On the decay of vortices in a viscous fluid, Philos. Mag. 46, 671 (1923).
- S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Oxford University Press, New York, 1967).
- E. Bodenschatz, W. Pesch, and G. Ahlers, Recent developments in Rayleigh-Bénard convection, Annu. Rev. Fluid Mech. 32, 709 (2000).
- Y. Li, Q. Yin, F. Marchesoni, T. Debnath, and P. K. Ghosh, Advection-enhanced diffusion in biased convection arrays, Phys. Rev. E 103, L030106 (2021).
- Y. Li, L. Li, F. Marchesoni, D. Debnath, and P. K. Ghosh, Active diffusion in convection rolls, Phys. Rev. Research 2, 013250 (2020).
- P. K. Ghosh, F. Marchesoni, Y. Li, and F. Nori, Active particle diffusion in convection roll arrays, Phys. Chem. Chem. Phys. 23, 11944 (2021).
- A. Zöttl and H. Stark, Emergent behavior in active colloids, J. Phys.: Condens. Matter 28, 253001 (2016).
- M. I. Yudine, Physical Considerations on Heavy Particle Diffusion, in Advances in Geophysics, Vol. 6 (Academic Press, New York, 1959), pp. 185.
- G. Falkovich, A. Fouxon, and M. G. Stepanov, Acceleration of rain initiation by cloud turbulence, Nature (London) 419, 151 (2002).
- G. P. Bewley, E. W. Saw, and E. Bodenschatz, Observation of the sling effect, New J. Phys. 15, 083051 (2013).
- P. E. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equations (Springer, Berlin, 1992).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.3.L032065 for additional simulation data.
- Q. Yin, Y. Li, F. Marchesoni, T. Debnath, and P. K. Ghosh, Exit times of a Brownian particle out of a convection roll, Phys. Fluids 32, 092010 (2020).
- C. Torney and Z. Neufeld, Transport and Aggregation of Self-Propelled Particles in Fluid Flows, Phys. Rev. Lett. 99, 078101 (2007).