Current-mediated synchronization of a pair of beating non-identical flagella
| Autor: | Victor Dotsenko, Gleb Oshanin, Oleg Vasilyev, Anna Maciołek, Siegfried Dietrich |
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| Přispěvatelé: | Laboratoire de Physique Théorique de la Matière Condensée (LPTMC), Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU), L.D. Landau Institute for Theoretical Physics of RAS, Russian Academy of Sciences [Moscow] (RAS), Max-Planck-Institut für Intelligente Systeme, Max-Planck-Gesellschaft, Universität Stuttgart [Stuttgart], Institute of Physical Chemistry [Warsaw], Polish Academy of Sciences, Department III |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Kuramoto model [PHYS.PHYS.PHYS-BIO-PH]Physics [physics]/Physics [physics]/Biological Physics [physics.bio-ph] Ensemble averaging single-trajectory analysis General Physics and Astronomy Order (ring theory) FOS: Physical sciences Condensed Matter - Soft Condensed Matter 01 natural sciences Synchronization 010305 fluids & plasmas noise in biological systems Minimal model Amplitude 0103 physical sciences ensemble-averaged properties Ergodic theory Soft Condensed Matter (cond-mat.soft) Statistical physics 010306 general physics Realization (systems) out-of-equilibrium systems synchronization |
| Zdroj: | New Journal of Physics New Journal of Physics, Institute of Physics: Open Access Journals, 2019, 21 (3), pp.033036. ⟨10.1088/1367-2630/ab0a80⟩ |
| ISSN: | 1367-2630 |
| DOI: | 10.1088/1367-2630/ab0a80⟩ |
| Popis: | The basic phenomenology of experimentally observed synchronization (i.e., a stochastic phase locking) of identical, beating flagella of a biflagellate alga is known to be captured well by a minimal model describing the dynamics of coupled, limit-cycle, noisy oscillators (known as the noisy Kuramoto model). As demonstrated experimentally, the amplitudes of the noise terms therein, which stem from fluctuations of the rotary motors, depend on the flagella length. Here we address the conceptually important question which kind of synchrony occurs if the two flagella have different lengths such that the noises acting on each of them have different amplitudes. On the basis of a minimal model, too, we show that a different kind of synchrony emerges, and here it is mediated by a current carrying, steady-state; it manifests itself via correlated "drifts" of phases. We quantify such a synchronization mechanism in terms of appropriate order parameters $Q$ and $Q_{\cal S}$ - for an ensemble of trajectories and for a single realization of noises of duration ${\cal S}$, respectively. Via numerical simulations we show that both approaches become identical for long observation times ${\cal S}$. This reveals an ergodic behavior and implies that a single-realization order parameter $Q_{\cal S}$ is suitable for experimental analysis for which ensemble averaging is not always possible. Comment: 10 pages, 2 figures |
| Databáze: | OpenAIRE |
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