Resetting-mediated navigation of an active Brownian searcher in a homogeneous topography

Gourab Kumar Sar, Arnob Ray, Dibakar Ghosh, Chittaranjan Hens, Arnab Pal

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Designing navigation strategies for search-time optimization remains of interest in various interdisciplinary branches in science. Herein, we focus on active Brownian walkers in noisy and confined environments, which are mediated by one such autonomous strategy, namely stochastic resetting. As such, resetting stops the motion and compels the walkers to restart from the initial configuration intermittently. The resetting clock is operated externally without any influence from the searchers. In particular, the resetting coordinates are either quenched (fixed) or annealed (fluctuating) over the entire topography. Although the strategy relies upon simple governing laws of motion, it shows a significant ramification for the search-time statistics, in contrast to the search process conducted by the underlying reset-free dynamics. Using extensive numerical simulations, we show that the resetting-driven protocols enhance the performance of these active searchers. This, however, depends robustly on the inherent search-time fluctuations, measured by the coefficient of variation of the underlying reset-free process. We also explore the effects of different boundaries and rotational diffusion constants on the search-time fluctuations in the presence of resetting. Notably, for the annealed condition, resetting is always found to expedite the search process. These features, as well as their applicability to more general optimization problems from queuing systems, computer science and randomized numerical algorithms, to active living systems such as enzyme turnover and backtracking recovery of RNA polymerases in gene expression, make resetting-based strategies universally promising.

Original languageEnglish
Pages (from-to)4502-4518
Number of pages17
JournalSoft Matter
Volume19
Issue number24
DOIs
StatePublished - 21 Jun 2023
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2023 The Royal Society of Chemistry.

Funding

C. H. is supported by a DST-INSPIRE-Faculty grant (Grant No. IFA17-PH193). A. P. gratefully acknowledges research support from the Department of Science and Technology, India, SERB Start-up Research Grant Number SRG/2022/000080 and the Department of Atomic Energy, India.

FundersFunder number
DST-INSPIRE-FacultyIFA17-PH193
Department of Science and Technology, Ministry of Science and Technology, India
Department of Atomic Energy, Government of India
Science and Engineering Research BoardSRG/2022/000080

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