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

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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, resettin" /> <link rel="canonical" href="https://pubs.rsc.org/en/content/articlelanding/2023/sm/d3sm00271c" /> <meta name="DC.Creator" content="Gourab Kumar Sar" /> <meta content="Gourab Kumar Sar" name="citation_author" /><meta content="Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata 700108, India" name="citation_author_institution" /> <meta name="DC.Creator" content="Arnob Ray" /> <meta content="Arnob Ray" name="citation_author" /><meta content="Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. 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Herein, we focus on active Brownian walkers in noisy and confined environments, which are mediated by one such autonomous strategy, namely stochastic resetting. 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Sharma; citation_journal_title=Soft Matter; citation_volume=17; citation_pages=1307-1316;citation_publication_date=2021; " /> <meta name="citation_reference" content="citation_author=B. Besga; citation_author=A. Bovon; citation_author=A. Petrosyan; citation_author=S. N. Majumdar; citation_author=S. Ciliberto; citation_journal_title=Phys. Rev. Res.; citation_volume=2; citation_pages=032029;citation_publication_date=2020; " /> <meta name="citation_reference" content="citation_author=D. M. van Roon; citation_author=G. Volpe; citation_author=M. M. T. da Gama; citation_author=N. A. Araújo; citation_journal_title=Soft Matter; citation_volume=18; citation_pages=6899-6906;citation_publication_date=2022; " /> <meta content=" 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. 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Click to view all articles in this issue." title="Issue 24, 2023">Issue 24, 2023</a> </div> <nav aria-label="Article"> <ul class="article-nav__bar"> <li> <a href="/en/Content/ArticleLanding/2023/SM/D3SM00371J"> Previous <span class="v-mobile-hide--inline">Article</span> </a> </li> <li> <a href="/en/Content/ArticleLanding/2023/SM/D3SM00151B"> Next <span class="v-mobile-hide--inline">Article</span> </a> </li> </ul> </nav> <div class="list-control"> <div class="list__collection--image"> <div class="list__item"> <a href="/en/journals/journal/sm" class="list__item-link"> <div class="list__image-col"> <img src="/en/Image/Get?imageInfo.ImageType=CoverIssue&imageInfo.ImageIdentifier.SerCode=SM&imageInfo.ImageIdentifier.IssueId=SM019024" id="imgLoader" alt="" class="list__item-img" height="88"> </div> <div class="list__text-col"> <div class="list__item-label"> <span class="page-head__context">From the journal:</span> <h3 class="h--heading3 no-heading">Soft Matter</h3> </div> </div> </a> </div> </div> </div> <br> </div> <article class="article-control"> <div class="article__title"> <h2 class="capsule__title fixpadv--m"> Resetting-mediated navigation of an active Brownian searcher in a homogeneous topography </h2> <div class="fixpadv--m crossmark-button"> <button type="button" data-target="crossmark"><img width="150" height="32" src="https://crossmark-cdn.crossref.org/widget/v2.0/logos/CROSSMARK_Color_horizontal.svg" alt="Check for updates" /></button> </div> </div> <div class="article__authors"> <span class="article__author-link"> <a href="/en/results?searchtext=Author%3AGourab%20Kumar%20Sar">Gourab Kumar Sar</a>, <span class="orcid ver-b"><a target="_blank" title="Select to open ORCID record for Gourab Kumar Sar (orcid.org/0000-0001-5723-4834) in a new window" href="https://orcid.org/0000-0001-5723-4834"><img src="https://www.rsc-cdn.org/pubs-core/2022.0.159/content/NewImages/orcid_16x16.png" alt="ORCID logo"></a></span> <span><sup><i>a</i></sup></span>   </span> <span class="article__author-link"> <a href="/en/results?searchtext=Author%3AArnob%20Ray">Arnob Ray</a>,<span><sup><i>a</i></sup></span>   </span> <span class="article__author-link"> <a href="/en/results?searchtext=Author%3ADibakar%20Ghosh">Dibakar Ghosh</a>,<span><sup><i>a</i></sup></span>   </span> <span class="article__author-link"> <a href="/en/results?searchtext=Author%3AChittaranjan%20Hens">Chittaranjan Hens</a><span><sup><i>b</i></sup></span>  and  </span> <span class="article__author-link"> <a href="/en/results?searchtext=Author%3AArnab%20Pal">Arnab Pal</a> <span class="orcid ver-b"><a target="_blank" title="Select to open ORCID record for Arnab Pal (orcid.org/0000-0001-6806-5431) in a new window" href="https://orcid.org/0000-0001-6806-5431"><img src="https://www.rsc-cdn.org/pubs-core/2022.0.159/content/NewImages/orcid_16x16.png" alt="ORCID logo"></a></span> *<span><sup><i>cd</i></sup></span>   </span> </div> <div class="drawer-control fixpadv--m"> <a href="#" role="button" id="btnAuthorAffiliations" aria-expanded="false" aria-controls="pnlAuthorAffiliations" class="drawer__handle"> <span class="drawer__icon"></span> Author affiliations </a> <div class="drawer__content" id="pnlAuthorAffiliations" aria-labelledby="btnAuthorAffiliations"> <div> <p class="article__author-affiliation"> <span> * </span> <span> Corresponding authors </span> </p> <p class="article__author-affiliation"> <span> <sup>a</sup> </span> <span> Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata 700108, India </span> </p> <p class="article__author-affiliation"> <span> <sup>b</sup> </span> <span> Center for Computational Natural Sciences and Bioinformatics, International Institute of Information Technology, Gachibowli, Hyderabad 500 032, India </span> </p> <p class="article__author-affiliation"> <span> <sup>c</sup> </span> <span> The Institute of Mathematical Sciences, IV Cross Road, CIT Campus, Taramani, Chennai 600 113, Tamil Nadu, India </span> </p> <p class="article__author-affiliation"> <span> <sup>d</sup> </span> <span> Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400094, India <br /> <b>E-mail:</b> <a href="mailto:arnabpal@imsc.res.in" title="arnabpal@imsc.res.in">arnabpal@imsc.res.in</a> </span> </p> </div> </div> </div> <h3 class="h--heading3 article-abstract__heading">Abstract</h3> <div class="capsule__column-wrapper"> <div class="capsule__text"> <p xmlns="http://www.rsc.org/schema/rscart38">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.</p> </div> <div class="capsule__article-image fixpadv--s"> <img src="/en/Image/Get?imageInfo.ImageType=GA&imageInfo.ImageIdentifier.ManuscriptID=D3SM00271C&imageInfo.ImageIdentifier.Year=2023" alt="Graphical abstract: Resetting-mediated navigation of an active Brownian searcher in a homogeneous topography" /> </div> </div> <p></p> <div id="pnlArticleAccess" class="article-access fixpadt--xxl" style="display: none; border: 0;"> <div class="article-access__inner" style="background-color: #F1F1F3;"> <div class="article-access__head fixpad--s"> You have access to this article </div> <div class="fixpad--xl"> <div id="pnlViewFullArticleButton" class="paywall__body 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Resetting-mediated navigation of an active Brownian searcher in a homogeneous topography - Soft Matter (RSC Publishing)