Deterministic Ratchet Transport of Impurities in Fluids

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Abstract
This paper investigates unbiased directed transport, known as the ratchet effect, within a system coupled to a fluid modeled by the bailout embedding technique. The system dynamics under the fluid influence are described by a four-dimensional mapping governed by parameters such as dissipation ([ ]), ratchet kicking (K), and the relationship between fluid and particle densities ([ ]). We explore the behavior of the Ratchet Current (RC) in the parameter spaces [ ] and [ ], particularly focusing on the aerosol case ([ ]). Our findings reveal a complex interplay of parameters, with larger RCs observed for parameter pairs that induce periodic dynamics in the ratchet system. Furthermore, we observe RC reversal as a function of [ ] and [ ], and identify coexisting attractors (multistability) at higher [ ] values. These results shed light on the intriguing phenomenon of directed transport in fluid dynamics, offering insights that may contribute to understanding particle transport in nature, especially in the aerosol regime.
Funding Information
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico (162979/2021-05)
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico (310294/2022-3)
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico (306973/2023-5)
  • Fundação de Amparo à Pesquisa e Inovação do Estado de Santa Catarina

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