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Target Search of Active Agents Crossing High Energy Barriers

Luigi Zanovello, Michele Caraglio, Thomas Franosch, and Pietro Faccioli
Phys. Rev. Lett. 126, 018001 – Published 7 January 2021
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Abstract

Target search by active agents in rugged energy landscapes has remained a challenge because standard enhanced sampling methods do not apply to irreversible dynamics. We overcome this nonequilibrium rare-event problem by developing an algorithm generalizing transition-path sampling to active Brownian dynamics. This method is exemplified and benchmarked for a paradigmatic two-dimensional potential with a high barrier. We find that even in such a simple landscape the structure and kinetics of the ensemble of transition paths changes drastically in the presence of activity. Indeed, active Brownian particles reach the target more frequently than passive Brownian particles, following longer and counterintuitive search patterns.

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  • Received 17 June 2020
  • Revised 26 October 2020
  • Accepted 8 December 2020

DOI:https://doi.org/10.1103/PhysRevLett.126.018001

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft MatterStatistical Physics & Thermodynamics

Authors & Affiliations

Luigi Zanovello1,2, Michele Caraglio1, Thomas Franosch1,*, and Pietro Faccioli2,3,†

  • 1Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 21A, A-6020 Innsbruck, Austria
  • 2Dipartimento di Fisica, Università degli studi di Trento, Via Sommarive 14, 38123 Trento, Italy
  • 3Istituto Nazionale di Fisica Nucleare - Trento Institute for Fundamental Physics and Applications, Via Sommarive 14, 38123 Trento, Italy

  • *Thomas.Franosch@uibk.ac.at
  • pietro.faccioli@unitn.it

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Issue

Vol. 126, Iss. 1 — 8 January 2021

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Images

  • Figure 1
    Figure 1

    Distribution of transition-path times (TPTs) at different Péclet numbers. Each distribution is obtained from 106 different TPTs (τϑ=1/Dϑ).

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  • Figure 2
    Figure 2

    (a),(b) A fast and a slow reactive path (tTPT/τϑ=0.65 and 2.37, respectively) of a passive Brownian particle (Pe=0). The red contour lines are the borders of the R and T basins. (c),(d) A fast and a slow reactive path (tTPT/τϑ=0.53 and 8.36, respectively) of an ABP (Pe=10).

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  • Figure 3
    Figure 3

    (a)–(c) Reactive probability density m(r) (color map) and field lines of the reactive current J(r) (cyan arrows) at different Péclet numbers.

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