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arXiv · 2308.08412

Deterministic active particles in the overactive limit

Arkady Pikovsky
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Abstract

We consider two models of deterministic active particles in an external potential. In the limit where the speed of a particle is fixed, both models coincide and can be formulated as a Hamiltonian system, but only if the potential is time-independent. If the particles are identical, their interaction via a potential force leads to conservative dynamics with a conserved phase volume. In contrast, the phase volume is shown to shrink for non-identical particles.

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Arkady Pikovsky. 2023-08-16. Deterministic active particles in the overactive limit. https://doi.org/10.1063/5.0172125

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