{"id":"https://openalex.org/W7203758674","doi":"https://doi.org/10.48550/arxiv.2608.17850","title":"A solid-state theory for dense cylindrical packings of balls","display_name":"A solid-state theory for dense cylindrical packings of balls","publication_year":2026,"publication_date":"2026-08-18","ids":{"openalex":"https://openalex.org/W7203758674","doi":"https://doi.org/10.48550/arxiv.2608.17850"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.17850","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.17850","pdf_url":"https://arxiv.org/pdf/2608.17850","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.17850","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061141787","display_name":"Luke K. Davis","orcid":"https://orcid.org/0000-0003-4487-4159","observed_orcids":["https://orcid.org/0000-0003-4487-4159"]},"institutions":[{"id":"https://openalex.org/I4210117017","display_name":"Maxwell Institute for Mathematical Sciences","ror":"https://ror.org/02tsqtg57","country_code":"GB","type":"facility","lineage":["https://openalex.org/I32062511","https://openalex.org/I4210117017","https://openalex.org/I98677209"]},{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Davis, Luke K.","raw_affiliation_strings":["Higgs Centre for Theoretical Physics , University of Edinburgh , EH9 3FD , Scotland","School of Mathematics and Maxwell Institute for Mathematical Sciences , University of Edinburgh , EH9 3FD , Scotland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Higgs Centre for Theoretical Physics , University of Edinburgh , EH9 3FD , Scotland","institution_ids":["https://openalex.org/I98677209"]},{"raw_affiliation_string":"School of Mathematics and Maxwell Institute for Mathematical Sciences , University of Edinburgh , EH9 3FD , Scotland","institution_ids":["https://openalex.org/I4210117017","https://openalex.org/I98677209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048220315","display_name":"Alexander Klotz","orcid":"https://orcid.org/0000-0002-1581-6956","observed_orcids":["https://orcid.org/0000-0002-1581-6956"]},"institutions":[{"id":"https://openalex.org/I127339247","display_name":"California State University System","ror":"https://ror.org/020qm1538","country_code":"US","type":"education","lineage":["https://openalex.org/I127339247"]},{"id":"https://openalex.org/I59897056","display_name":"California State University, Long Beach","ror":"https://ror.org/0080fxk18","country_code":"US","type":"education","lineage":["https://openalex.org/I59897056"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Klotz, Alexander R.","raw_affiliation_strings":["Department of Physics and Astronomy , California State University , Long Beach"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy , California State University , Long Beach","institution_ids":["https://openalex.org/I127339247","https://openalex.org/I59897056"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T12176","display_name":"Optimization and Packing Problems","score":0.2224999964237213,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.2224999964237213,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10615","display_name":"Granular flow and fluidized beds","score":0.2168000042438507,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10474","display_name":"Material Dynamics and Properties","score":0.1307000070810318,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cylindrical-container","display_name":"cylindrical container","score":0.6389999985694885},{"id":"https://openalex.org/keywords/packing-fraction","display_name":"packing density","score":0.6759999990463257},{"id":"https://openalex.org/keywords/close-packed-lattice","display_name":"close-packed lattice","score":0.7609999775886536},{"id":"https://openalex.org/keywords/cylinder-aspect-ratio","display_name":"cylinder aspect ratio","score":0.9190000295639038},{"id":"https://openalex.org/keywords/solid-state-theory","display_name":"solid state theory","score":0.5370000004768372},{"id":"https://openalex.org/keywords/lower-bounds","display_name":"lower bounds","score":0.47099998593330383}],"concepts":[{"id":"https://openalex.org/C2781018962","wikidata":"https://www.wikidata.org/wiki/Q5164884","display_name":"Container (type theory)","level":2,"score":0.7135999798774719},{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.6614999771118164},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6467999815940857},{"id":"https://openalex.org/C203311528","wikidata":"https://www.wikidata.org/wiki/Q34132","display_name":"Cylinder","level":2,"score":0.6396999955177307},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.574400007724762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.53329998254776},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5023999810218811},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4934999942779541},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4334000051021576},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.41510000824928284},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.3725000023841858},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.35350000858306885},{"id":"https://openalex.org/C2779193601","wikidata":"https://www.wikidata.org/wiki/Q20026918","display_name":"Mathematical theory","level":2,"score":0.35269999504089355},{"id":"https://openalex.org/C82558694","wikidata":"https://www.wikidata.org/wiki/Q1545619","display_name":"Aspect ratio (aeronautics)","level":2,"score":0.3467000126838684},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3352999985218048},{"id":"https://openalex.org/C183893376","wikidata":"https://www.wikidata.org/wiki/Q900117","display_name":"Sphere packing","level":2,"score":0.31940001249313354},{"id":"https://openalex.org/C99987037","wikidata":"https://www.wikidata.org/wiki/Q2435125","display_name":"Hard spheres","level":2,"score":0.3167000114917755},{"id":"https://openalex.org/C110161667","wikidata":"https://www.wikidata.org/wiki/Q495460","display_name":"Atomic packing factor","level":2,"score":0.3140999972820282},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.30809998512268066},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.29269999265670776},{"id":"https://openalex.org/C2780966255","wikidata":"https://www.wikidata.org/wiki/Q5474306","display_name":"Foundation (evidence)","level":2,"score":0.2854999899864197},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2849999964237213},{"id":"https://openalex.org/C2992002026","wikidata":"https://www.wikidata.org/wiki/Q1111474","display_name":"General theory","level":2,"score":0.2831999957561493},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.28220000863075256},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.28110000491142273},{"id":"https://openalex.org/C2779851814","wikidata":"https://www.wikidata.org/wiki/Q5358916","display_name":"Elementary theory","level":2,"score":0.26660001277923584},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.25099998712539673}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.17850","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.17850","pdf_url":"https://arxiv.org/pdf/2608.17850","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.17850","doi":"https://doi.org/10.48550/arxiv.2608.17850","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.17850","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.17850","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.17850","pdf_url":"https://arxiv.org/pdf/2608.17850","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3365009284","display_name":"CAREER: Experimental and Computational Studies of Biomolecular Topology","funder_award_id":"2336744","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7203758674.pdf","grobid_xml":"https://content.openalex.org/works/W7203758674.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2047583514","https://openalex.org/W2108273777","https://openalex.org/W2607453484","https://openalex.org/W2041726789","https://openalex.org/W2754207479","https://openalex.org/W2253410316","https://openalex.org/W2889947875","https://openalex.org/W2609335313","https://openalex.org/W7064115612","https://openalex.org/W7005992961"],"abstract_inverted_index":{"We":[0,54],"develop":[1],"an":[2,57,106],"analytical":[3,90],"theory":[4,16],"for":[5,60,65,135,143],"the":[6,30,76,112,115,125,136],"dense":[7],"packing":[8,62,137],"of":[9,18,23,33,52,80,114,138],"hard":[10],"spheres":[11],"in":[12,48,86,140],"cylinders.":[13],"Physically,":[14],"our":[15],"consists":[17],"a":[19,24,49,72,94,131],"finite":[20],"cylindrical":[21],"masking":[22],"close-packed":[25],"three-dimensional":[26],"solid":[27],"and":[28,69,78,98,104],"covers":[29],"entire":[31],"range":[32,51],"cylinder":[34],"aspect":[35],"ratios,":[36],"thus":[37],"going":[38],"beyond":[39],"efforts":[40],"that":[41,83],"are":[42],"focused":[43],"on":[44,124],"very":[45],"tall":[46],"cylinders":[47],"narrow":[50],"widths.":[53],"explicitly":[55],"derive":[56],"exact":[58],"equation":[59],"resulting":[61],"fractions,":[63],"valid":[64,142],"any":[66],"regular":[67],"lattice,":[68],"it":[70,101],"provides":[71],"basis":[73],"to":[74,99,110,122],"understand":[75],"oscillations":[77],"scaling":[79],"volume":[81],"fractions":[82],"have":[84],"appeared":[85],"previous":[87],"works.":[88],"Our":[89],"relation":[91],"serves":[92],"as":[93],"rigorous":[95],"lower":[96],"bound":[97],"tighten":[100],"we":[102,118,129],"derive,":[103],"implement,":[105],"efficient":[107],"mathematical":[108],"procedure":[109],"optimize":[111],"orientation":[113],"cylinder.":[116],"Furthermore,":[117],"suggest":[119],"simple":[120],"techniques":[121],"improve":[123],"predicted":[126],"packings.":[127],"Overall,":[128],"provide":[130],"general":[132],"theoretical":[133],"foundation":[134],"balls":[139],"cylinders,":[141],"all":[144],"container":[145],"sizes.":[146]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-08-20T00:00:00"}