Remote spatiotemporal control of local states in thermal lattice | 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 Article Remote spatiotemporal control of local states in thermal lattice Run Hu, Quan Liu, Zhaochen Wang, Sun-Kyung Kim, Wonjoon Choi, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6992736/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 The ability to actively control local states in thermal lattice provides critical insights into nonequilibrium thermodynamics and enables novel approaches to energy management across nano to macroscopic scales. The process of thermalization in thermal lattice is a kind of neighboring interactions due to the media- and path-dependent characteristic of Fourier’s diffusion, rendering the significant challenge for remote control of local thermal state. Here we construct the time-dependent Hamiltonian of a thermal lattice system with consideration of conduction and convection simultaneously and derive the optimal external command for active control of local thermal states. We implement two fundamental thermal operations—insulation and synchronization—by modulating power inputs and precisely monitoring temperature evolution to demonstrate the validness and powerfulness of remote spatiotemporal control of local thermal states. Our work paves the way for remote spatiotemporal control of thermal states and provides efficient alternatives for advanced active thermal management in complex architectures. Physical sciences/Energy science and technology/Energy modelling Physical sciences/Physics/Statistical physics, thermodynamics and nonlinear dynamics/Thermodynamics Physical sciences/Physics/Statistical physics, thermodynamics and nonlinear dynamics/Nonlinear phenomena Full Text Additional Declarations There is NO Competing Interest. Supplementary Files controlSI0627.docx Supplementary Material for Remote spatiotemporal control of local states in thermal lattice 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-6992736","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":479408762,"identity":"8a29c036-7f7d-44dd-9106-abbb49ece6a7","order_by":0,"name":"Run Hu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAuElEQVRIiWNgGAWjYBACAzBZcQDC4yFeyxmgFjaStDC2kaLFXCL3mXThvDuJ8+c3MD5428Ygb05Ii+WMdDPpmdueJW44xsBsOLeNwXBnAyGH3Uhjk+bddjhxAxsDkNHGkGBwgCgtcw4nzm9jYP9NgpaGw4kNxxjYmInTcuYZszXPscPGG44lNkvOOSdhuIGgluNpjLd5ag7Lzm8+fPDDmzIbeYK2IAHGBiAhQbz6UTAKRsEoGAW4AQCogT2WP8O/zAAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0003-0274-9982","institution":"Huazhong University of Science and Technology","correspondingAuthor":true,"prefix":"","firstName":"Run","middleName":"","lastName":"Hu","suffix":""},{"id":479408763,"identity":"2d4b8e45-2e86-4a41-9b2a-fa5e6df6e272","order_by":1,"name":"Quan Liu","email":"","orcid":"","institution":"Huazhong University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Quan","middleName":"","lastName":"Liu","suffix":""},{"id":479408764,"identity":"c7639b87-6182-4cf1-a644-a8081d6c133d","order_by":2,"name":"Zhaochen Wang","email":"","orcid":"","institution":"Huazhong University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Zhaochen","middleName":"","lastName":"Wang","suffix":""},{"id":479408765,"identity":"4bcef684-168a-4367-a239-c99ab0694ede","order_by":3,"name":"Sun-Kyung Kim","email":"","orcid":"https://orcid.org/0000-0002-0715-0066","institution":"Kyung Hee University","correspondingAuthor":false,"prefix":"","firstName":"Sun-Kyung","middleName":"","lastName":"Kim","suffix":""},{"id":479408766,"identity":"cc6edd11-18a8-48ee-ac75-38aa0964514d","order_by":4,"name":"Wonjoon Choi","email":"","orcid":"https://orcid.org/0000-0002-1913-598X","institution":"Korea University","correspondingAuthor":false,"prefix":"","firstName":"Wonjoon","middleName":"","lastName":"Choi","suffix":""},{"id":479408767,"identity":"4e97f02c-6c76-4d2d-a0f2-f453a01e9931","order_by":5,"name":"Xiaobing Luo","email":"","orcid":"","institution":"Huazhong University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Xiaobing","middleName":"","lastName":"Luo","suffix":""},{"id":479408768,"identity":"b15f4534-0ee3-4254-af99-797697284d12","order_by":6,"name":"Philippe Ben-Abdallah","email":"","orcid":"https://orcid.org/0000-0002-1137-4492","institution":"Laboratoire Charles Fabry, CNRS, Institut d'Optique, Université Paris-Saclay","correspondingAuthor":false,"prefix":"","firstName":"Philippe","middleName":"","lastName":"Ben-Abdallah","suffix":""}],"badges":[],"createdAt":"2025-06-27 14:55:37","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6992736/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6992736/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":89617961,"identity":"35ec743d-bcdf-496e-bcd2-496f69e17cbe","added_by":"auto","created_at":"2025-08-22 03:33:56","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":741942,"visible":true,"origin":"","legend":"","description":"","filename":"remotecontrol0627.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6992736/v1_covered_80e5ecc8-d19e-4af3-9a57-af8683dbb5cd.pdf"},{"id":85961274,"identity":"66980626-5bd2-4394-96ba-77a87c420d0f","added_by":"auto","created_at":"2025-07-03 15:44:59","extension":"docx","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":653083,"visible":true,"origin":"","legend":"Supplementary Material for Remote spatiotemporal control of local states in thermal lattice","description":"","filename":"controlSI0627.docx","url":"https://assets-eu.researchsquare.com/files/rs-6992736/v1/5622519e92259403331b9215.docx"}],"financialInterests":"There is \u003cb\u003eNO\u003c/b\u003e Competing Interest.","formattedTitle":"Remote spatiotemporal control of local states in thermal lattice","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":"
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