{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T18:06:15Z","timestamp":1790877975224,"version":"4.1.0"},"reference-count":69,"publisher":"American Physical Society (APS)","issue":"4","license":[{"start":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T00:00:00Z","timestamp":1776643200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/link.aps.org\/licenses\/aps-default-license"},{"start":{"date-parts":[[2027,4,20]],"date-time":"2027-04-20T00:00:00Z","timestamp":1808179200000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/link.aps.org\/licenses\/aps-default-accepted-manuscript-license"}],"funder":[{"DOI":"10.13039\/100000006","name":"Office of Naval Research","doi-asserted-by":"publisher","award":["N00014-23-1-2501"],"award-info":[{"award-number":["N00014-23-1-2501"]}],"id":[{"id":"10.13039\/100000006","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000006","name":"Office of Naval Research","doi-asserted-by":"publisher","award":["N00014-21-1-2475"],"award-info":[{"award-number":["N00014-21-1-2475"]}],"id":[{"id":"10.13039\/100000006","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100005492","name":"Stanford University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100005492","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. E"],"accepted":{"date-parts":[[2026,4,1]]},"DOI":"10.1103\/ylz9-hfh1","type":"journal-article","created":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T12:24:21Z","timestamp":1775046261000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Drag force and diffusion of small planar structures: A gas kinetic theory analysis and molecular dynamics study"],"prefix":"10.1103","volume":"113","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5600-4690","authenticated-orcid":true,"given":"Amitesh S.","family":"Jayaraman","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00f54p054","id-type":"ROR","asserted-by":"publisher"}],"name":"Stanford University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5045-4295","authenticated-orcid":true,"given":"Nikolaos","family":"Kateris","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00f54p054","id-type":"ROR","asserted-by":"publisher"}],"name":"Stanford University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hai","family":"Wang","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00f54p054","id-type":"ROR","asserted-by":"publisher"}],"name":"Stanford University"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2026,4,20]]},"reference":[{"key":"ylz9-hfh1Cc1R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.99.042127","type":"journal-article"},{"key":"ylz9-hfh1Cc2R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.proci.2010.09.009","type":"journal-article"},{"key":"ylz9-hfh1Cc3R1","doi-asserted-by":"publisher","DOI":"10.1557\/jmr.2018.470","type":"journal-article"},{"key":"ylz9-hfh1Cc4R1","doi-asserted-by":"publisher","DOI":"10.1021\/nl8011566","type":"journal-article"},{"key":"ylz9-hfh1Cc5R1","doi-asserted-by":"publisher","DOI":"10.1039\/b911395a","type":"journal-article"},{"key":"ylz9-hfh1Cc6R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.electacta.2018.03.137","type":"journal-article"},{"key":"ylz9-hfh1Cc7R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.carbon.2021.10.047","type":"journal-article"},{"key":"ylz9-hfh1Cc8R1","doi-asserted-by":"publisher","DOI":"10.1080\/15459624.2015.1076162","type":"journal-article"},{"key":"ylz9-hfh1Cc9R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.carbon.2018.05.012","type":"journal-article"},{"key":"ylz9-hfh1Cc10R1","doi-asserted-by":"publisher","DOI":"10.1021\/acs.jpcc.7b00189","type":"journal-article"},{"key":"ylz9-hfh1Cc11R1","doi-asserted-by":"publisher","DOI":"10.1021\/nl203964z","type":"journal-article"},{"key":"ylz9-hfh1Cc12R1","doi-asserted-by":"publisher","DOI":"10.1021\/jp400237m","type":"journal-article"},{"key":"ylz9-hfh1Cc13R1","doi-asserted-by":"publisher","DOI":"10.1021\/je00014a020","type":"journal-article"},{"key":"ylz9-hfh1Cc14R1","doi-asserted-by":"publisher","DOI":"10.1126\/sciadv.adn4650","type":"journal-article"},{"key":"ylz9-hfh1Cc15R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.68.061206","type":"journal-article"},{"key":"ylz9-hfh1Cc16R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.68.061207","type":"journal-article"},{"key":"ylz9-hfh1Cc17R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.70.021205","type":"journal-article"},{"key":"ylz9-hfh1Cc18R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.94.023102","type":"journal-article"},{"key":"ylz9-hfh1Cc19R1","doi-asserted-by":"publisher","DOI":"10.1021\/acs.jpca.6b08261","type":"journal-article"},{"key":"ylz9-hfh1Cc20R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.95.033101","type":"journal-article"},{"key":"ylz9-hfh1Cc21R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jaerosci.2007.06.003","type":"journal-article"},{"key":"ylz9-hfh1Cc22R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.89.022112","type":"journal-article"},{"key":"ylz9-hfh1Cc23R1","doi-asserted-by":"publisher","DOI":"10.1007\/s13361-017-1661-8","type":"journal-article"},{"key":"ylz9-hfh1Cc24R1","doi-asserted-by":"publisher","DOI":"10.1039\/C5CP01017A","type":"journal-article"},{"key":"ylz9-hfh1Cc25R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2013.05.038","type":"journal-article"},{"key":"ylz9-hfh1Cc26R1","doi-asserted-by":"publisher","DOI":"10.1098\/rstl.1879.0067","type":"journal-article"},{"key":"ylz9-hfh1Cc27R1","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8502(73)90066-9","type":"journal-article"},{"key":"ylz9-hfh1Cc28R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.23.710","type":"journal-article"},{"key":"ylz9-hfh1Cc29R1","doi-asserted-by":"publisher","DOI":"10.1093\/qjmam\/6.3.290","type":"journal-article"},{"key":"ylz9-hfh1Cc30R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2014.06.026","type":"journal-article"},{"key":"ylz9-hfh1Cc31R1","doi-asserted-by":"publisher","DOI":"10.1021\/cr60137a012","type":"journal-article"},{"key":"ylz9-hfh1Cc32R1","doi-asserted-by":"publisher","DOI":"10.1002\/andp.19053220806","type":"journal-article"},{"key":"ylz9-hfh1Cc33R1","volume-title":"The Mathematical Theory of Non-uniform Gases: An Account of the Kinetic Theory of Viscosity, Thermal Conduction and Diffusion in Gases","author":"S. Chapman","year":"1990","type":"book"},{"key":"ylz9-hfh1Cc34R1","unstructured":"See Supplemental Material at http:\/\/link.aps.org\/supplemental\/10.1103\/ylz9-hfh1 for a discussion on the effects of planar structure rotation and finite thickness. Details of the molecular scattering calculations to determine the drag tensor are provided, as well as the Green-Kubo formula for the evaluation of diffusivities from MD simulations of binary mixtures. Derivations of the fluctuation-dissipation theorem from the Langevin equation and a discussion on the preferential diffusion effect in nonspherical particles are included.","type":"other"},{"key":"ylz9-hfh1Cc35R1","first-page":"741","type":"journal-article","volume":"366","author":"V. I. Lebedev","year":"1999","journal-title":"Dokl. Akad. Nauk"},{"key":"ylz9-hfh1Cc36R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2021.108171","type":"journal-article"},{"key":"ylz9-hfh1Cc37R1","doi-asserted-by":"publisher","DOI":"10.1021\/ja9621760","type":"journal-article"},{"key":"ylz9-hfh1Cc38R1","doi-asserted-by":"publisher","DOI":"10.1002\/andp.18812480110","type":"journal-article"},{"key":"ylz9-hfh1Cc39R1","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(83)90014-1","type":"journal-article"},{"key":"ylz9-hfh1Cc40R1","doi-asserted-by":"publisher","DOI":"10.1143\/JPSJ.12.570","type":"journal-article"},{"key":"ylz9-hfh1Cc41R1","doi-asserted-by":"publisher","DOI":"10.1143\/JPSJ.12.1203","type":"journal-article"},{"key":"ylz9-hfh1Cc42R1","doi-asserted-by":"publisher","DOI":"10.1021\/jp9533739","type":"journal-article"},{"key":"ylz9-hfh1Cc43R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.3274802","type":"journal-article"},{"key":"ylz9-hfh1Cc44R1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4073(92)90142-Q","type":"journal-article"},{"key":"ylz9-hfh1Cc45R1","volume-title":"NIST Chemistry WebBook","year":"2022","type":"book"},{"key":"ylz9-hfh1Cc46R1","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-8176-4803-9","type":"book","volume-title":"Stochastic Models, Information Theory, and Lie Groups, Volume 1: Classical Results and Geometric Methods","author":"G.\u00a0S. Chirikjian","year":"2009"},{"key":"ylz9-hfh1Cc47R1","volume-title":"Harmonic Analysis for Engineers and Applied Scientists: Updated and Expanded Edition","author":"G.\u00a0S. Chirikjian","year":"2016","type":"book"},{"key":"ylz9-hfh1Cc48R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.21.217","type":"journal-article"},{"key":"ylz9-hfh1Cc49R1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1749-6632.2008.04319.x","type":"journal-article"},{"key":"ylz9-hfh1Cc50R1","doi-asserted-by":"publisher","DOI":"10.1021\/ie50677a007","type":"journal-article"},{"key":"ylz9-hfh1Cc51R1","doi-asserted-by":"publisher","DOI":"10.1016\/0010-2180(94)90167-8","type":"journal-article"},{"key":"ylz9-hfh1Cc52R1","doi-asserted-by":"publisher","DOI":"10.1039\/D2FD00058J","type":"journal-article"},{"key":"ylz9-hfh1Cc53R1","unstructured":"C. Liu and H. Wang, Binary diffusion coefficients of polycyclic aromatic hydrocarbons: A molecular dynamics study, in Proceedings of the\u00a011th U.S. National Combustion Meeting (Pasadena, California, 2019).","type":"conference-proceedings"},{"key":"ylz9-hfh1Cc54R1","unstructured":"A.\u00a0S. Jayaraman, https:\/\/github.com\/amiteshs4\/Transport-of-planar-structures.git (2026), repository includes MD data for scattering angle distributions as well as diffusion coefficients determined from Green-Kubo calculations.","type":"dataset"},{"key":"ylz9-hfh1Cc55R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.3617251","type":"journal-article"},{"key":"ylz9-hfh1Cc56R1","first-page":"530","type":"journal-article","volume":"146","author":"P. Langevin","year":"1908","journal-title":"C. R. Acad. Sci. Paris"},{"key":"ylz9-hfh1Cc57R1","doi-asserted-by":"publisher","DOI":"10.1002\/sapm192321131","type":"journal-article"},{"key":"ylz9-hfh1Cc58R1","volume-title":"Stochastic Models, Information Theory, and Lie Groups: Analytic Methods and Modern Applications","author":"G.\u00a0S. Chirikjian","year":"2011","type":"book"},{"key":"ylz9-hfh1Cc59R1","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9797(67)90185-3","type":"journal-article"},{"key":"ylz9-hfh1Cc60R1","doi-asserted-by":"publisher","DOI":"10.1021\/ac60263a006","type":"journal-article"},{"key":"ylz9-hfh1Cc61R1","doi-asserted-by":"publisher","DOI":"10.1039\/tf9605601144","type":"journal-article"},{"key":"ylz9-hfh1Cc62R1","doi-asserted-by":"publisher","DOI":"10.1021\/ja01687a007","type":"journal-article"},{"key":"ylz9-hfh1Cc63R1","doi-asserted-by":"publisher","DOI":"10.1016\/0017-9310(92)90260-Y","type":"journal-article"},{"key":"ylz9-hfh1Cc64R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.1147113","type":"journal-article"},{"key":"ylz9-hfh1Cc65R1","doi-asserted-by":"publisher","DOI":"10.1021\/je00035a020","type":"journal-article"},{"key":"ylz9-hfh1Cc66R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.tca.2006.10.021","type":"journal-article"},{"key":"ylz9-hfh1Cc67R1","doi-asserted-by":"publisher","DOI":"10.1021\/je9001653","type":"journal-article"},{"key":"ylz9-hfh1Cc68R1","doi-asserted-by":"publisher","DOI":"10.1252\/jcej.3.143","type":"journal-article"},{"key":"ylz9-hfh1Cc69R1","doi-asserted-by":"publisher","DOI":"10.1021\/ie50539a046","type":"journal-article"}],"container-title":["Physical Review E"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/accepted\/10.1103\/ylz9-hfh1","content-type":"application\/pdf","content-version":"am","intended-application":"unspecified"},{"URL":"https:\/\/link.aps.org\/article\/10.1103\/ylz9-hfh1","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/ylz9-hfh1\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T17:31:20Z","timestamp":1790875880000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/ylz9-hfh1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,4,20]]},"references-count":69,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2026,4]]}},"URL":"https:\/\/doi.org\/10.1103\/ylz9-hfh1","relation":{},"ISSN":["2470-0045","2470-0053"],"issn-type":[{"value":"2470-0045","type":"print"},{"value":"2470-0053","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,4,20]]},"assertion":[{"value":"2026-01-30","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"\u00a92026 American Physical Society. 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":"American Physical Society","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"045106"}}