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Dancing Particles on Faraday Wave

This study explores the intriguing transition in particle patterns at various concentrations, shedding light on competition between forces and revealing long transient effects. The research investigates the impact of control parameters such as particle size, shaking strength, and concentration. The findings unveil shifting clustering behavior at different densities, with distinct patterns forming at antinodes and nodes. The analysis delves into the complex interplay of forces, highlighting the significance of many-body interactions despite small particle-particle interactions. Detailed examination of time-dependent patterns uncovers extensive transient dynamics at intermediate concentrations, leading to metastable patterns and ultimate equilibrium configurations.

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Dancing Particles on Faraday Wave

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  1. Dancing Particles on Faraday Wave Ceyda Sanli, Devaraj van der Meer, and Detlef Lohse Physics of Fluids, University of Twente 1st Jamming and Rheology Meeting 26 May 2009, Leiden, The Netherlands

  2. Set-Up Control Parameters • particle size = D • shaking strength = • particle concentration = ϕ • time = t

  3. Why do we observe this transition in the pattern when increasing ϕ? Why nodes at high ϕ? A N N HIGH ϕ: to nodes LOW ϕ: to antinodes INTERMEDIATE ϕ • For low ϕ, hydrophobic particles go to antinodes.* * G. Falkovichet al. Nature 435, 1045 (2005).

  4. Force without shaking * Chan, et. al. J. Colloid Interface Sci. 79, 410 (1981). D = 1.5 mm D = 3.2 mm capillary - gravity collective effects

  5. Competition between forces no shaking L (weak) L ~ λ at L ~ D + shaking (strong)

  6. LOW ϕ CASE

  7. Clustering at antinode ϕ = 0.032 N t = 10 min. N N A N f = 28.25 Hz a = 0.04 mm 10 mm

  8. HIGH ϕ CASE

  9. Clustering at node A ϕ = 0.83 t = 7 min. N 10 mm

  10. What happens at intermediate density? ϕ 0 1 0.032 0.83 0.47 antinode clusters node clusters ?

  11. Extremely long time transient effects

  12. Transient effects t = 58 min: Metastablepattern ϕ = 0.47 10 mm

  13. Pattern after 88 min. ϕ = 0.47 10 mm

  14. Final pattern after 150 min. ϕ = 0.47 10 mm

  15. ϕ Time dependent picture of patterns ϕ * (middle area) = ϕ (one experiment) (full area) preliminary result! fixed value square 2 circle ? final pattern 1.5 ϕ * 1 0.5 0 25 50 75 100 125 150 t (min.)

  16. Conclusion • Clusteringbehavior is changed by increasing number of particles. • Competition:Clustering at antinodeClustering at node low ϕ high ϕ • Even though p-p interaction is small comparing to the drift force, • the many-body interaction drives another dominant force for high ϕ. • Extremely long transient dynamics revealed at intermediateϕ.

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