{"id":"https://openalex.org/W7225450458","doi":"https://doi.org/10.5281/zenodo.24031315","title":"Gert's Deterministic-Geometric Model of an Ideal Gas: An Alternative Approach to Mean Free Path Calculation and a Critique of the Maxwell Distribution","display_name":"Gert's Deterministic-Geometric Model of an Ideal Gas: An Alternative Approach to Mean Free Path Calculation and a Critique of the Maxwell Distribution","publication_year":2026,"publication_date":"2026-11-07","ids":{"openalex":"https://openalex.org/W7225450458","doi":"https://doi.org/10.5281/zenodo.24031315"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24031315","doi":"https://doi.org/10.5281/zenodo.24031315","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24031315","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":"article-journal"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24031315","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159007025","display_name":"Edgar Gert","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Gert, Edgar","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0000-8671-1708","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5159007025"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.975600004196167,"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"}},"topics":[{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.975600004196167,"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"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.010499999858438969,"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/T12044","display_name":"Advanced Physical and Chemical Molecular Interactions","score":0.006000000052154064,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ideal-gas","display_name":"ideal gas","score":0.9850000143051147},{"id":"https://openalex.org/keywords/mean-free-path","display_name":"mean free path","score":0.9869999885559082},{"id":"https://openalex.org/keywords/kinetic-molecular-theory","display_name":"molecular kinetic theory","score":0.8650000095367432},{"id":"https://openalex.org/keywords/maxwell-boltzmann-distribution","display_name":"Maxwell-Boltzmann distribution","score":0.859000027179718},{"id":"https://openalex.org/keywords/geometric-quantization","display_name":"geometric quantization","score":0.6830000281333923},{"id":"https://openalex.org/keywords/phase-space-quantization","display_name":"phase space quantization","score":0.7789999842643738},{"id":"https://openalex.org/keywords/second-law-of-thermodynamics","display_name":"second law of thermodynamics","score":0.8989999890327454},{"id":"https://openalex.org/keywords/transport-equation","display_name":"transport equation","score":0.847000002861023}],"concepts":[{"id":"https://openalex.org/C203809815","wikidata":"https://www.wikidata.org/wiki/Q634965","display_name":"Maxwell\u2013Boltzmann distribution","level":3,"score":0.656499981880188},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5583000183105469},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.542900025844574},{"id":"https://openalex.org/C30342001","wikidata":"https://www.wikidata.org/wiki/Q172280","display_name":"Ideal gas","level":2,"score":0.4668000042438507},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4413999915122986},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.43160000443458557},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.40139999985694885},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.37119999527931213},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.37040001153945923},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.3677999973297119},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34929999709129333},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3384999930858612},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.32659998536109924},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.2930999994277954},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2903999984264374},{"id":"https://openalex.org/C119820323","wikidata":"https://www.wikidata.org/wiki/Q177045","display_name":"Second law of thermodynamics","level":2,"score":0.2759999930858612},{"id":"https://openalex.org/C175634916","wikidata":"https://www.wikidata.org/wiki/Q17075777","display_name":"Potential of mean force","level":3,"score":0.27239999175071716},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.2718999981880188},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.2587999999523163},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2508000135421753}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24031315","doi":"https://doi.org/10.5281/zenodo.24031315","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24031315","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":"article-journal"},{"id":"doi:10.5281/zenodo.24031316","doi":"https://doi.org/10.5281/zenodo.24031316","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24031316","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":"article-journal"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24031315","doi":"https://doi.org/10.5281/zenodo.24031315","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24031315","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":"article-journal"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7225461961","https://openalex.org/W1587926627","https://openalex.org/W4255175259","https://openalex.org/W1977518603","https://openalex.org/W2952638219","https://openalex.org/W4250434842","https://openalex.org/W3179049915","https://openalex.org/W4200629054","https://openalex.org/W2495167196","https://openalex.org/W2369312909"],"abstract_inverted_index":{"Abstract:This":[0],"paper":[1],"investigates":[2],"an":[3,104,119],"alternative":[4],"theoretical":[5],"framework":[6],"for":[7,62,77],"ideal":[8,141],"gas":[9,142],"description":[10],"based":[11],"on":[12,27],"E.":[13],"Gert\u2019s":[14,129],"deterministic-geometric":[15],"model.":[16],"In":[17],"contrast":[18],"to":[19,84,132],"the":[20,28,32,35,39,63,75,89,98,113,125,134],"classical":[21,135],"molecular-kinetic":[22,147],"theory":[23],"(MKT),":[24],"which":[25],"relies":[26],"probabilistic-statistical":[29],"apparatus":[30],"of":[31,91,97,116,127,155],"Maxwell":[33,99,149],"distribution,":[34,150],"proposed":[36],"model":[37],"quantizes":[38],"system's":[40],"phase":[41],"space":[42],"using":[43],"explicit":[44],"geometric":[45,130,151],"volumes":[46],"(\"swept":[47],"cylinders\")":[48],"generated":[49],"by":[50],"rigid":[51],"molecules":[52],"moving":[53],"discretely":[54],"along":[55],"six":[56],"orthogonal":[57],"directions.":[58],"An":[59],"analytical":[60],"expression":[61],"molecular":[64],"mean":[65,144],"free":[66,145],"path":[67],"is":[68,101],"derived":[69],"from":[70],"pure":[71],"spatial-coordinate":[72],"considerations,":[73],"eliminating":[74],"need":[76],"artificial":[78],"semi-empirical":[79],"correction":[80],"factors":[81],"historically":[82],"used":[83],"match":[85],"empirical":[86],"data.":[87],"From":[88],"standpoint":[90],"phenomenological":[92],"thermodynamics,":[93],"a":[94,108],"critical":[95],"analysis":[96],"distribution":[100],"presented,":[102],"revealing":[103],"internal":[105],"contradiction":[106],"between":[107],"continuous":[109],"velocity":[110],"spectrum":[111],"and":[112],"Second":[114,153],"Law":[115,154],"Thermodynamics":[117],"within":[118],"isolated,":[120],"uniform":[121],"equilibrium":[122],"system.":[123],"Finally,":[124],"prospects":[126],"applying":[128],"constraints":[131],"refine":[133],"transport":[136,157],"equations":[137],"are":[138],"outlined.":[139],"Keywords:Gert's":[140],"model,":[143],"path,":[146],"theory,":[148],"quantization,":[152],"Thermodynamics,":[156],"processes,":[158],"statistical":[159],"physics.":[160]},"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-11-08T00:00:00"}
