Unified power-law scaling behavior of collapse mobility and deposition morphology of granular columns composed of frictional-pentagonal grains

Unified power-law scaling behavior of collapse mobility and deposition morphology of granular columns composed of frictional-pentagonal grains | 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 Unified power-law scaling behavior of collapse mobility and deposition morphology of granular columns composed of frictional-pentagonal grains Thanh-Hai Nguyen, Thanh-Trung Vo This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6207756/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This paper carries out extensive simulations of granular columns composed of frictional-pentagonal grains, collapsing on a horizontal plane. Various two-dimensional columns are used and the interparticle friction coefficient is systematically varied in a broad range of values, aiming to comprehensively highlight and universally describe the runout distance, deposition height, area of top-deposition surface, kinetic energy, and apparent friction coefficient. We show that these physical quantities observed in the current work are consistent with previous findings and are affected by the degrees that depend differently on the initial column aspect ratio and interparticle friction coefficient. Remarkably, we nontrivially unveil a unified power-law scaling behavior for runout distance, deposition height, area of top-deposition surface, kinetic energy, and apparent friction coefficient by defining an effective aspect ratio, inversely incorporating the complex competition between initial aspect ratio and interparticle friction coefficient. This universal power-law description may confirm a unified competition of frictional and inertial effects on geophysical mass flows, providing a better understanding of the behavior of natural hazards such as rock avalanches and landslides. Contact dynamics Collapse mobility Deposition morphology Effective aspect ratio Particle shape Runout distance Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted 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. 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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-6207756","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":427542143,"identity":"42e88727-aadf-45e8-bc6b-0a81635b632a","order_by":0,"name":"Thanh-Hai Nguyen","email":"","orcid":"","institution":"The University of Danang - University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Thanh-Hai","middleName":"","lastName":"Nguyen","suffix":""},{"id":427542144,"identity":"090cc480-b91c-4289-9d3f-e4d82e791919","order_by":1,"name":"Thanh-Trung Vo","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAxklEQVRIiWNgGAWjYBADOYYDIIqNCKU8EMrAmHQtiQ1Ea7GXPmP28Gvbn/S+42cMGD6UHWYwuN1AwBa+HHNj2TaD3JlncgwYZ5wDarlzgIAWHh4zaYkzBrkbDuQYMPO2HWaQnJFAnJZ0g/NvDJj/EqtF8kOFQYLBDaAtjEAt/BKEtJxhK5NmqDA2nHnjWcHBnnPpPAS1sPcwb5P8YSAnz3c+eeODH2XWcmyEtIAAMzRywLHJg0chAjD+IErZKBgFo2AUjFgAAOmXPNMhPIk9AAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0003-0259-7165","institution":"Danang Architecture University","correspondingAuthor":true,"prefix":"","firstName":"Thanh-Trung","middleName":"","lastName":"Vo","suffix":""}],"badges":[],"createdAt":"2025-03-12 02:10:19","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":false,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":false},"doi":"10.21203/rs.3.rs-6207756/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6207756/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":78440379,"identity":"fc5df7c9-8261-4a2d-9aec-c1da9328b548","added_by":"auto","created_at":"2025-03-13 08:50:26","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1566599,"visible":true,"origin":"","legend":"","description":"","filename":"ScalingParticleShape.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6207756/v1_covered_2d3e1b83-0bf6-41d8-9fee-ff446ef6629b.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eUnified power-law scaling behavior of collapse mobility and deposition morphology of granular columns composed of frictional-pentagonal grains\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Contact dynamics, Collapse mobility, Deposition morphology, Effective aspect ratio, Particle shape, Runout distance","lastPublishedDoi":"10.21203/rs.3.rs-6207756/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6207756/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper carries out extensive simulations of granular columns composed of frictional-pentagonal grains, collapsing on a horizontal plane. 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