{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:11:27Z","timestamp":1760242287576,"version":"build-2065373602"},"reference-count":51,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2017,3,3]],"date-time":"2017-03-03T00:00:00Z","timestamp":1488499200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Nanosystems Initiative Munich"},{"name":"Augsburg Centre for Innovative Technology (ACIT) of the University of Augsburg"},{"name":"Deutscher Akademischer Austauschdienst (DAAD)"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Contrary to microbial taxis, where a tactic response to external stimuli is controlled by complex chemical pathways acting like sensor-actuator loops, taxis of artificial microswimmers is a purely stochastic effect associated with a non-uniform activation of the particles\u2019 self-propulsion. We study the tactic response of such swimmers in a spatio-temporally modulated activating medium by means of both numerical and analytical techniques. In the opposite limits of very fast and very slow rotational particle dynamics, we obtain analytic approximations that closely reproduce the numerical description. A swimmer drifts on average either parallel or anti-parallel to the propagation direction of the activating pulses, depending on their speed and width. The drift in line with the pulses is solely determined by the finite persistence length of the active Brownian motion performed by the swimmer, whereas the drift in the opposite direction results from the combination of the ballistic and diffusive properties of the swimmer\u2019s dynamics.<\/jats:p>","DOI":"10.3390\/e19030097","type":"journal-article","created":{"date-parts":[[2017,3,3]],"date-time":"2017-03-03T11:30:04Z","timestamp":1488540604000},"page":"97","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Taxis of Artificial Swimmers in a Spatio-Temporally Modulated Activation Medium"],"prefix":"10.3390","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0079-8051","authenticated-orcid":false,"given":"Alexander","family":"Geiseler","sequence":"first","affiliation":[{"name":"Institute of Physics, University of Augsburg, D-86135 Augsburg, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6679-2563","authenticated-orcid":false,"given":"Peter","family":"H\u00e4nggi","sequence":"additional","affiliation":[{"name":"Institute of Physics, University of Augsburg, D-86135 Augsburg, Germany"},{"name":"Nanosystems Initiative Munich, Schellingstra\u00dfe 4, D-80799 M\u00fcnchen, Germany"},{"name":"Department of Physics, National University of Singapore, 117551 Singapore, Singapore"}]},{"given":"Fabio","family":"Marchesoni","sequence":"additional","affiliation":[{"name":"Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China"},{"name":"Dipartimento di Fisica, Universit\u00e0 di Camerino, I-62032 Camerino, Italy"}]}],"member":"1968","published-online":{"date-parts":[[2017,3,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Murray, J.D. 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