Hamiltonian active particles in an environment

Eichmann, Timo; Diego, Fieguth,; Brady, Daniel R.; Anglin, J. R.

doi:10.1103/physreve.106.044201

Cited by 2 publications

(8 citation statements)

References 26 publications

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“…The model we will look at was first presented without damping in [17], where the Hamiltonian was introduced and its canonical equations of motion were studied. In [16] the system was extended to include dissipative effects. This is done within the Hamiltonian framework by adding a Hamiltonian environment and interaction.…”

Section: Setup Of the Active Particle Hamiltonianmentioning

confidence: 99%

“…This smallness is indicated by the parameter ε = 1. The important feature of this coupling in [16,17] in the underdamped case is that it has to give rise to a non-linear resonance [21]. This resonance exists in some region of phase space and thus can be reached dynamically, opposed to a resonance that occurs in parameter space, where parameters need to be fine tuned [24].…”

Section: The Hamiltonian Modelmentioning

confidence: 99%

“…In this paper we will use the model studied before in [16] and [17], in which the canonical variables (α, I) represent two harmonic oscillators after an additional adiabatic elimination. The ratio v k c…”

Section: The Hamiltonian Modelmentioning

confidence: 99%

“…Recent papers have shown how a minimal Hamiltonian realisation of of the depot can give rise to directional motion, with [16] and without [17] weak dissipation. This research focused on the fundamental theoretical restrictions of the energy depot and not the specific behaviours active particles can exhibit.…”

Section: Introductionmentioning

confidence: 99%

“…In the present work we take an important step towards a more general description of the Hamiltonian active particle: we re-examine the active particle of [16,17] in the overdamped, Eulerian limit and show that the depot of active particle models like in [13][14][15] can be implemented by integrable Hamiltonian mechanics even in a regime with strong damping. We find that the nonlinear resonance that enables the energy transfer from depot into motion is not a fragile effect, but instead robustly adapts to viscosity by driving the active particle more slowly.…”

Section: Introductionmentioning

confidence: 99%

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Dynamical active particles in the overdamped limit

Fieguth

2024

J. Phys. Commun.

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Mobile microscopic bodies, such as motile cells, can be modelled phenomenologically as ‘active particles’ which can move against external forces by depleting an internal energy depot. The microscopic mechanisms underlying such ‘active’ behaviour must ultimately obey fundamental physics: energy depots must actually consist of dynamical degrees of freedom, such as chemical reaction coordinates, which in some way couple to the particle’s motional degrees of freedom. As a step towards connecting phenomenological models with microscopic dynamical mechanisms, recent papers have studied the minimalistic dynamical mechanism of a ‘dynamical active particle’, and shown how nonlinear couplings can allow steady energy transfer from depot to motion, even in the presence of weak dissipation. Most real active particles move through viscous environments, however, and are strongly damped. Here we therefore generalize the dynamical active particle into the overdamped regime. We find that its mechanism still operates, and in particular allows the overdamped active particle to travel just as far against friction as the undamped model, by moving at a slower average speed. Our results suggest that active particle phenomenology can indeed be consistent with comprehensible dynamical mechanisms, even in strongly dissipative environments.

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Section: Setup Of the Active Particle Hamiltonianmentioning

confidence: 99%