Self-motion of microparticles under acoustic pressure

Self-motion of microparticles under acoustic pressure | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Self-motion of microparticles under acoustic pressure Tatiana Yurova, Igor Popov This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6951416/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 5 You are reading this latest preprint version Abstract The phenomenon of microparticle self-motion is utilized intargeted drug delivery and in advanced energy storage devices, includingsupercapacitors, batteries, and fuel cells. This self-motion can be induced by various methods, including acoustic pressure. We consider microparticles shaped as Helmholtz resonators subjected to ultrasound pressure. By controlling the directionand intensity of an ultrasonic plane wave, we regulate the velocity and trajectory of the microparticles. This paper presents both mathematical and numerical models for two types of microparticles: a sphere with a hole, and a hemisphere with a cone and a hole. We demonstrate that, in this model, the generated radiation force is sufficient to accelerate and guide these particles. Mathematics Subject Classification (2010). 35Q70; 47A40; 70E99. Helmholtz resonator acoustic pressure self-motion Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Reviewers agreed at journal 24 Jun, 2025 Reviewers invited by journal 24 Jun, 2025 Editor assigned by journal 23 Jun, 2025 Submission checks completed at journal 23 Jun, 2025 First submitted to journal 22 Jun, 2025 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-6951416","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":476019796,"identity":"c7f46dc5-af7a-4c22-b37c-b2f11d3fea30","order_by":0,"name":"Tatiana Yurova","email":"","orcid":"","institution":"ITMO University","correspondingAuthor":false,"prefix":"","firstName":"Tatiana","middleName":"","lastName":"Yurova","suffix":""},{"id":476019801,"identity":"61243f59-6b41-4351-b6e8-bff16aa72187","order_by":1,"name":"Igor Popov","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA0UlEQVRIiWNgGAWjYNACA5t6+/YGEMOCWC0FaQkGPAdAWiSI1fLhcIKBRAKIRYQWc/beg495DA7nmUs+v7rhR4EEA397dwJeLZY955KNeQzSiy1n55Td7AE6TOLM2Q14tRjcyDGTnGFgzdhwOyftBg9Qi4FELlFamBkbbp5Ju/mHWC0SHwycEzfcYD92myhbQH4x+GCQZizZk8N2W8ZAgoegX0Ah9iDhj40cP/vxZzffgBjtvQQcxsADY/IYgEm8ytG0sD8gqHoUjIJRMApGJgAA9NhILyczqtQAAAAASUVORK5CYII=","orcid":"","institution":"ITMO University","correspondingAuthor":true,"prefix":"","firstName":"Igor","middleName":"","lastName":"Popov","suffix":""}],"badges":[],"createdAt":"2025-06-22 21:38:06","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6951416/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6951416/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":85551233,"identity":"2cef3a17-a9c4-4e98-900e-25436c7127be","added_by":"auto","created_at":"2025-06-27 09:51:35","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":479982,"visible":true,"origin":"","legend":"","description":"","filename":"forprint.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6951416/v1_covered_c2ad4d58-051e-496e-91f6-51189eedc220.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Self-motion of microparticles under acoustic pressure","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"zeitschrift-fur-angewandte-mathematik-und-physik","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"zamp","sideBox":"Learn more about [Zeitschrift für angewandte Mathematik und Physik](http://link.springer.com/journal/33)","snPcode":"33","submissionUrl":"https://submission.nature.com/new-submission/33/3","title":"Zeitschrift für angewandte Mathematik und Physik","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Helmholtz resonator, acoustic pressure, self-motion","lastPublishedDoi":"10.21203/rs.3.rs-6951416/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6951416/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe phenomenon of microparticle self-motion is utilized intargeted drug delivery and in advanced energy storage devices, includingsupercapacitors, batteries, and fuel cells. This self-motion can be induced by various methods, including acoustic pressure. We consider microparticles shaped as Helmholtz resonators subjected to ultrasound pressure. By controlling the directionand intensity of an ultrasonic plane wave, we regulate the velocity and trajectory of the microparticles. This paper presents both mathematical and numerical models for two types of microparticles: a sphere with a hole, and a hemisphere with a cone and a hole. 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