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math.DS2024
Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems
Julia Ackermann, Matthias Ehrhardt, Thomas Kruse +1
This study revisits a recently proposed symmetric port-Hamiltonian single-file model in one dimension. The uniform streaming solutions are stable in the deterministic model. Howeve…
math.DS2023
The Collective Dynamics of a Stochastic Port-Hamiltonian Self-Driven Agent Model in One Dimension
Matthias Ehrhardt, Thomas Kruse, Antoine Tordeux
The collective motion of self-driven agents is a phenomenon of great interest in interacting particle systems. In this paper, we develop and analyze a model of agent motion in one…