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<p>In recent experiments, ants were constrained to a two-dimensional rectangular domain by enclosing them between two flat transparent surfaces and their dynamic behavior was studied. The large sides of the domain were in the vertical direction and thus, gravity affected the dynamics of the ants. The experiments showed that the collective dynamics of the ants displayed wave-like behavior. In this article, we develop and analyze a mathematical model of the mentioned experiments. Our work contributes to the understanding of the dynamics of active matter and its mathematical modeling.</p>

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Wave like behavior in a column of ants. Mathematical modeling

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年10月6日

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  • Guillermo H. Goldsztein,
  • Caleb Anderson,
  • Alberto Fernandez-Nieves

摘要

In recent experiments, ants were constrained to a two-dimensional rectangular domain by enclosing them between two flat transparent surfaces and their dynamic behavior was studied. The large sides of the domain were in the vertical direction and thus, gravity affected the dynamics of the ants. The experiments showed that the collective dynamics of the ants displayed wave-like behavior. In this article, we develop and analyze a mathematical model of the mentioned experiments. Our work contributes to the understanding of the dynamics of active matter and its mathematical modeling.