2D simulation of wave-particle coupling inspired by walking droplets

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Abstract

In recent years, a fluid dynamics phenomenon has been observed that shows interesting analogies with several quantum mechanical ones. Under specific experimental conditions, a liquid droplet released on a vibrating liquid persists in jumping, forming a localized wave-particle, and its behaviour resembles that of a de Broglie wave-particle. In this paper we discuss a simplified model for this phenomenon and the results of numerical fluid dynamics simulations implemented on the basis of the model. In spite of the relevant simplifying assumptions of our approach, we observe that a wave-droplet coupling is obtained and the droplet travels at nearly constant velocity, as it is observed in experiments. This suggests that the model describes the basic features of the phenomenon well, and that the simulation could be used to introduce under- graduate students to the study of quantum mechanics.
Original languageEnglish
Pages (from-to)045710-1-045710-12
Number of pages12
JournalEuropean Journal of Physics
Volume39
Publication statusPublished - 2018

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walking
fluid dynamics
simulation
liquids
students
travel
quantum mechanics

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

2D simulation of wave-particle coupling inspired by walking droplets. / Fazio, Claudio; Battaglia, Onofrio Rosario.

In: European Journal of Physics, Vol. 39, 2018, p. 045710-1-045710-12.

Research output: Contribution to journalArticle

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abstract = "In recent years, a fluid dynamics phenomenon has been observed that shows interesting analogies with several quantum mechanical ones. Under specific experimental conditions, a liquid droplet released on a vibrating liquid persists in jumping, forming a localized wave-particle, and its behaviour resembles that of a de Broglie wave-particle. In this paper we discuss a simplified model for this phenomenon and the results of numerical fluid dynamics simulations implemented on the basis of the model. In spite of the relevant simplifying assumptions of our approach, we observe that a wave-droplet coupling is obtained and the droplet travels at nearly constant velocity, as it is observed in experiments. This suggests that the model describes the basic features of the phenomenon well, and that the simulation could be used to introduce under- graduate students to the study of quantum mechanics.",
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AB - In recent years, a fluid dynamics phenomenon has been observed that shows interesting analogies with several quantum mechanical ones. Under specific experimental conditions, a liquid droplet released on a vibrating liquid persists in jumping, forming a localized wave-particle, and its behaviour resembles that of a de Broglie wave-particle. In this paper we discuss a simplified model for this phenomenon and the results of numerical fluid dynamics simulations implemented on the basis of the model. In spite of the relevant simplifying assumptions of our approach, we observe that a wave-droplet coupling is obtained and the droplet travels at nearly constant velocity, as it is observed in experiments. This suggests that the model describes the basic features of the phenomenon well, and that the simulation could be used to introduce under- graduate students to the study of quantum mechanics.

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