{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,2]],"date-time":"2026-10-02T00:33:15Z","timestamp":1790901195627,"version":"4.1.0"},"reference-count":27,"publisher":"American Physical Society (APS)","issue":"5","license":[{"start":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T00:00:00Z","timestamp":1778803200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["NSF DMS-2503350"],"award-info":[{"award-number":["NSF DMS-2503350"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. E"],"accepted":{"date-parts":[[2026,4,29]]},"abstract":"<jats:p>\n                    In this paper, we consider a run-and-tumble particle (RTP) with stochastic resetting confined to the half line\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <a:mrow>\n                        <a:mo>[<\/a:mo>\n                        <a:mn>0<\/a:mn>\n                        <a:mo>,<\/a:mo>\n                        <a:mi>\u221e<\/a:mi>\n                        <a:mo>)<\/a:mo>\n                      <\/a:mrow>\n                    <\/a:math>\n                    with a sticky boundary at\n                    <b:math xmlns:b=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <b:mrow>\n                        <b:mi>x<\/b:mi>\n                        <b:mo>=<\/b:mo>\n                        <b:mn>0<\/b:mn>\n                      <\/b:mrow>\n                    <\/b:math>\n                    . In the bulk, the RTP tumbles at a constant rate\n                    <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <c:mrow>\n                        <c:mi>\u03b1<\/c:mi>\n                        <c:mo>&gt;<\/c:mo>\n                        <c:mn>0<\/c:mn>\n                      <\/c:mrow>\n                    <\/c:math>\n                    between velocity states\n                    <d:math xmlns:d=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <d:mrow>\n                        <d:mo>\u00b1<\/d:mo>\n                        <d:mi>v<\/d:mi>\n                      <\/d:mrow>\n                    <\/d:math>\n                    with\n                    <e:math xmlns:e=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <e:mrow>\n                        <e:mi>v<\/e:mi>\n                        <e:mo>&gt;<\/e:mo>\n                        <e:mn>0<\/e:mn>\n                      <\/e:mrow>\n                    <\/e:math>\n                    and randomly resets to its initial position and orientation\n                    <f:math xmlns:f=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <f:mrow>\n                        <f:mrow>\n                          <f:mo>(<\/f:mo>\n                          <f:msub>\n                            <f:mi>x<\/f:mi>\n                            <f:mn>0<\/f:mn>\n                          <\/f:msub>\n                          <f:mo>,<\/f:mo>\n                          <f:msub>\n                            <f:mi>k<\/f:mi>\n                            <f:mn>0<\/f:mn>\n                          <\/f:msub>\n                          <f:mo>)<\/f:mo>\n                        <\/f:mrow>\n                        <f:mo>\u2208<\/f:mo>\n                        <f:mrow>\n                          <f:mo>(<\/f:mo>\n                          <f:msup>\n                            <f:mi mathvariant=\"double-struck\">R<\/f:mi>\n                            <f:mo>+<\/f:mo>\n                          <\/f:msup>\n                          <f:mo>,<\/f:mo>\n                          <f:mo>\u00b1<\/f:mo>\n                          <f:mo>)<\/f:mo>\n                        <\/f:mrow>\n                      <\/f:mrow>\n                    <\/f:math>\n                    . When the RTP reaches the target at\n                    <h:math xmlns:h=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <h:mrow>\n                        <h:mi>x<\/h:mi>\n                        <h:mo>=<\/h:mo>\n                        <h:mn>0<\/h:mn>\n                      <\/h:mrow>\n                    <\/h:math>\n                    , it attaches to the boundary for some random waiting time before either detaching and continuing to navigate the bulk domain or (permanently) entering the target. These events are the analogs of adsorption, desorption, and absorption of a particle by a partially reactive surface in physical chemistry. We use renewal theory to characterize the particle trajectory in terms of successive binding events at\n                    <i:math xmlns:i=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <i:mrow>\n                        <i:mi>x<\/i:mi>\n                        <i:mo>=<\/i:mo>\n                        <i:mn>0<\/i:mn>\n                      <\/i:mrow>\n                    <\/i:math>\n                    under two distinct desorption protocols: via resetting to\n                    <j:math xmlns:j=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <j:mrow>\n                        <j:mo>(<\/j:mo>\n                        <j:msub>\n                          <j:mi>x<\/j:mi>\n                          <j:mn>0<\/j:mn>\n                        <\/j:msub>\n                        <j:mo>,<\/j:mo>\n                        <j:msub>\n                          <j:mi>k<\/j:mi>\n                          <j:mn>0<\/j:mn>\n                        <\/j:msub>\n                        <j:mo>)<\/j:mo>\n                      <\/j:mrow>\n                    <\/j:math>\n                    and via continuous movement from\n                    <k:math xmlns:k=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <k:mrow>\n                        <k:mi>x<\/k:mi>\n                        <k:mo>=<\/k:mo>\n                        <k:mn>0<\/k:mn>\n                      <\/k:mrow>\n                    <\/k:math>\n                    with velocity\n                    <l:math xmlns:l=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <l:mrow>\n                        <l:mo>+<\/l:mo>\n                        <l:mi>v<\/l:mi>\n                      <\/l:mrow>\n                    <\/l:math>\n                    . First, we derive the nonequilibrium stationary state (NESS) in the case of no absorption and characterize the accumulation at the boundary. Second, we compute the mean first passage time (MFPT) statistics. In addition to observing the usual unimodal dependence of the MFPT on bulk resetting, both the NESS and MFPT strongly depend on the initial orientation\n                    <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <m:msub>\n                        <m:mi>k<\/m:mi>\n                        <m:mn>0<\/m:mn>\n                      <\/m:msub>\n                    <\/m:math>\n                    and the desorption protocol. For instance, if the initial orientation is toward the boundary, we find that the desorption-induced resetting protocol can reduce the MFPT more effectively than the nonresetting desorption protocol. We also show how matching the desorption kinetics with the bulk resetting or tumbling rate introduces a tradeoff between minimizing the adsorption and absorption times. In this setting, we find that the desorption protocol which minimizes the absorption MFPT for a given set of parameters is almost always the opposite of that favored when desorption and bulk kinetics are not the same. These results collectively highlight the utility of the renewal formalism in characterizing two distinct desorption protocols particular to an RTP.\n                  <\/jats:p>","DOI":"10.1103\/dcnh-bhwc","type":"journal-article","created":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T13:21:31Z","timestamp":1777468891000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["Renewal theory for a run-and-tumble particle with stochastic resetting and a sticky boundary"],"prefix":"10.1103","volume":"113","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7714-9853","authenticated-orcid":true,"given":"Paul C.","family":"Bressloff","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/041kmwe10","id-type":"ROR","asserted-by":"publisher"}],"name":"Imperial College London"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5158-1392","authenticated-orcid":true,"given":"Samantha","family":"Linn","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/041kmwe10","id-type":"ROR","asserted-by":"publisher"}],"name":"Imperial College London"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2026,5,15]]},"reference":[{"key":"dcnh-bhwcCc1R1","doi-asserted-by":"publisher","DOI":"10.1146\/annurev-conmatphys-070909-104101","type":"journal-article"},{"key":"dcnh-bhwcCc2R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2012.03.004","type":"journal-article"},{"key":"dcnh-bhwcCc3R1","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2012-01529-y","type":"journal-article"},{"key":"dcnh-bhwcCc4R1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.88.045006","type":"journal-article"},{"key":"dcnh-bhwcCc5R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/ad4753","type":"journal-article"},{"key":"dcnh-bhwcCc6R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.4.033234","type":"journal-article"},{"key":"dcnh-bhwcCc7R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/aa734c","type":"journal-article"},{"key":"dcnh-bhwcCc8R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/ad009e","type":"journal-article"},{"key":"dcnh-bhwcCc9R1","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/aab84f","type":"journal-article"},{"key":"dcnh-bhwcCc10R1","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/ae195c","type":"journal-article"},{"key":"dcnh-bhwcCc11R1","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/accce2","type":"journal-article"},{"key":"dcnh-bhwcCc12R1","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2024.0815","type":"journal-article"},{"key":"dcnh-bhwcCc13R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/aae74e","type":"journal-article"},{"key":"dcnh-bhwcCc14R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.102.042135","type":"journal-article"},{"key":"dcnh-bhwcCc15R1","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/abc7b7","type":"journal-article"},{"key":"dcnh-bhwcCc16R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/adbfe3","type":"journal-article"},{"key":"dcnh-bhwcCc17R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.99.032132","type":"journal-article"},{"key":"dcnh-bhwcCc18R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.108.014139","type":"journal-article"},{"key":"dcnh-bhwcCc19R1","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/ad6c2c","type":"journal-article"},{"key":"dcnh-bhwcCc20R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.111.014114","type":"journal-article"},{"key":"dcnh-bhwcCc21R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/ade57f","type":"journal-article"},{"key":"dcnh-bhwcCc22R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/adddff","type":"journal-article"},{"key":"dcnh-bhwcCc23R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.111.054127","type":"journal-article"},{"key":"dcnh-bhwcCc24R1","doi-asserted-by":"publisher","DOI":"10.1063\/5.0146512","type":"journal-article"},{"key":"dcnh-bhwcCc25R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.5.043196","type":"journal-article"},{"key":"dcnh-bhwcCc26R1","doi-asserted-by":"publisher","DOI":"10.1063\/5.0260643","type":"journal-article"},{"key":"dcnh-bhwcCc27R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/adfbb3","type":"journal-article"}],"container-title":["Physical 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All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2026","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92026 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"054122"}}