{"id":"https://openalex.org/W7225404553","doi":"https://doi.org/10.5281/zenodo.24013628","title":"The Imported Drag Law: Einstein's Stokes Mobility, Priced","display_name":"The Imported Drag Law: Einstein's Stokes Mobility, Priced","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225404553","doi":"https://doi.org/10.5281/zenodo.24013628"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24013628","doi":"https://doi.org/10.5281/zenodo.24013628","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24013628","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24013628","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159396451","display_name":"William Alexander Aldred","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Aldred, William Alexander","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0000-1215-577X","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5159396451"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.3158999979496002,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.3158999979496002,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.1665000021457672,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.11680000275373459,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.8690000176429749},{"id":"https://openalex.org/keywords/stokes-einstein-relation","display_name":"Stokes-Einstein relation","score":0.9350000023841858},{"id":"https://openalex.org/keywords/stokes-drag","display_name":"Stokes drag","score":0.8050000071525574},{"id":"https://openalex.org/keywords/particle-mobility","display_name":"particle mobility","score":0.8090000152587891},{"id":"https://openalex.org/keywords/diffusion-coefficient","display_name":"diffusion coefficient","score":0.6690000295639038},{"id":"https://openalex.org/keywords/fluctuation-dissipation-theorem","display_name":"fluctuation-dissipation theorem","score":0.8100000023841858},{"id":"https://openalex.org/keywords/slip-boundary-conditions","display_name":"slip boundary conditions","score":0.8450000286102295},{"id":"https://openalex.org/keywords/continuum-assumption","display_name":"continuum assumption","score":0.7770000100135803},{"id":"https://openalex.org/keywords/cosmological-constant-problem","display_name":"cosmological constant problem","score":0.6970000267028809}],"concepts":[{"id":"https://openalex.org/C72921944","wikidata":"https://www.wikidata.org/wiki/Q206621","display_name":"Drag","level":2,"score":0.7742999792098999},{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.715499997138977},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5529000163078308},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4738999903202057},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4706999957561493},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4684000015258789},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4433000087738037},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.40540000796318054},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.4025999903678894},{"id":"https://openalex.org/C142479292","wikidata":"https://www.wikidata.org/wiki/Q824561","display_name":"Stokes' law","level":4,"score":0.39160001277923584},{"id":"https://openalex.org/C53403541","wikidata":"https://www.wikidata.org/wiki/Q856634","display_name":"Fick's laws of diffusion","level":3,"score":0.36730000376701355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3522000014781952},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.3508000075817108},{"id":"https://openalex.org/C195268267","wikidata":"https://www.wikidata.org/wiki/Q1928883","display_name":"Slip (aerodynamics)","level":2,"score":0.3479999899864197},{"id":"https://openalex.org/C72117827","wikidata":"https://www.wikidata.org/wiki/Q1778961","display_name":"Drag coefficient","level":3,"score":0.34119999408721924},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.2948000133037567},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.26969999074935913},{"id":"https://openalex.org/C194832619","wikidata":"https://www.wikidata.org/wiki/Q1002145","display_name":"Fluidization","level":3,"score":0.25600001215934753},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2508000135421753}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.5281/zenodo.24013628","doi":"https://doi.org/10.5281/zenodo.24013628","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24013628","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24013629","doi":"https://doi.org/10.5281/zenodo.24013629","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24013629","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24021006","doi":"https://doi.org/10.5281/zenodo.24021006","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24021006","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24013628","doi":"https://doi.org/10.5281/zenodo.24013628","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24013628","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2056216432","https://openalex.org/W2001552957","https://openalex.org/W2071438517","https://openalex.org/W2484367751","https://openalex.org/W2111563784","https://openalex.org/W2497496212","https://openalex.org/W2330092716","https://openalex.org/W2073895091","https://openalex.org/W2483743669","https://openalex.org/W2076477390"],"abstract_inverted_index":{"In":[0],"1905,":[1],"A.":[2],"Einstein":[3,290],"derived":[4],"the":[5,16,23,28,41,63,68,73,106,125,130,166,177,180,184,192,202,204,208,211,224,236,240,249],"diffusion":[6,54,145],"constant":[7,55,146],"of":[8,141,151,235,243,248],"a":[9,33,71,80,84,100,144,149,159,270,274],"suspended":[10],"particle":[11],"as":[12],"its":[13,53,113,116],"mobility":[14],"times":[15],"thermal":[17],"energy,":[18],"D":[19],"=":[20,88,160,199],"\u03bckT":[21],"\u2014":[22,157,171,266],"fluctuation\u2013dissipation":[24],"structure":[25,69],"that":[26,50],"made":[27],"molecular":[29,103,187,241],"hypothesis":[30],"measurable,":[31],"and":[32,46,94,118,172,272],"derivation":[34],"I":[35,60],"credit":[36],"at":[37,154,158,239,258],"full":[38,259],"strength:":[39],"given":[40],"mobility,":[42],"it":[43,51,96,122,227],"is":[44,62,105,207],"exact,":[45],"my":[47,119],"bench":[48,120],"verifies":[49],"returns":[52,143],"digit":[56],"for":[57,79,253],"digit.":[58],"What":[59],"evaluate":[61],"mobility's":[64],"content.":[65],"To":[66],"turn":[67],"into":[70],"number,":[72],"paper":[74,212],"imports":[75],"Stokes's":[76],"drag":[77,221,237],"law":[78,132,205,222,238],"macroscopic":[81],"sphere":[82],"in":[83,99,139,233],"continuum":[85,203,225,299],"fluid,":[86],"\u03bc":[87],"1/(6\u03c0\u03b7a),":[89],"with":[90,134],"stick":[91,167],"boundary":[92,136,245,301],"conditions,":[93],"uses":[95],"on":[97,115],"particles":[98],"liquid":[101],"whose":[102],"granularity":[104,210],"paper's":[107],"own":[108,127,186],"subject.":[109],"The":[110,276],"import":[111],"carries":[112],"value":[114],"face,":[117],"prints":[121],"twice.":[123],"First,":[124],"import's":[126,181],"internal":[128],"band:":[129],"same":[131],"read":[133],"slip":[135],"conditions":[137],"(4\u03c0":[138],"place":[140],"6\u03c0)":[142],"larger":[147],"by":[148],"factor":[150],"exactly":[152],"1.500000":[153],"every":[155],"radius":[156],"1.000000":[161],"nm,":[162,190],"3.680597e-10":[163],"m\u00b2/s":[164,170],"against":[165,183,230],"reading's":[168],"2.453731e-10":[169],"no":[173],"1905":[174,234],"step":[175],"derives":[176],"selection.":[178],"Second,":[179],"domain:":[182],"solvent's":[185],"diameter":[188],"(0.275000":[189],"declared),":[191],"used":[193],"sizes":[194],"run":[195],"down":[196],"to":[197,215],"a/d":[198],"1.000000,":[200],"where":[201],"presupposes":[206],"very":[209],"was":[213],"written":[214],"prove.":[216],"Counted":[217],"plainly:":[218],"1":[219],"imported":[220],"carrying":[223],"assumption":[226],"rides":[228],"on,":[229],"0":[231],"derivations":[232],"scale,":[242],"either":[244],"condition,":[246],"or":[247],"continuum's":[250],"reach.":[251],"Grade":[252],"this":[254],"census":[255],"entry,":[256],"printed":[257],"size:":[260],"REASON":[261],"FOUND":[262],"/":[263,285],"STILL":[264],"TURNING":[265],"PREMISE-ONLY,":[267],"explicitly":[268],"not":[269,273],"kill":[271],"falsification.":[275],"program":[277],"headline":[278],"stands":[279],"unmoved:":[280],"vacuum":[281],"catastrophe":[282],"NOT":[283],"SOLVED":[284],"PARTIAL,":[286],"producing-count":[287],"0.":[288],"Keywords:":[289],"1905;":[291],"Brownian":[292],"motion;":[293],"Stokes\u2013Einstein":[294],"relation;":[295],"Stokes":[296],"drag;":[297],"mobility;":[298],"assumption;":[300],"conditions.":[302]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-11-07T00:00:00"}
