{"id":"https://openalex.org/W7225628586","doi":"https://doi.org/10.5281/zenodo.24087483","title":"Mesoscopic theory of sound wave mechanics in gases: an anisotropic approach","display_name":"Mesoscopic theory of sound wave mechanics in gases: an anisotropic approach","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7225628586","doi":"https://doi.org/10.5281/zenodo.24087483"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24087483","doi":"https://doi.org/10.5281/zenodo.24087483","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24087483","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.24087483","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":0.9692000150680542,"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":0.9692000150680542,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.008799999952316284,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.00570000009611249,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sound-velocity","display_name":"sound velocity","score":0.6850000023841858},{"id":"https://openalex.org/keywords/packing-fraction","display_name":"packing density","score":0.6959999799728394},{"id":"https://openalex.org/keywords/entropy-loss","display_name":"entropy loss","score":0.40700000524520874},{"id":"https://openalex.org/keywords/boundary-layer-transition","display_name":"boundary layer transition","score":0.7009999752044678},{"id":"https://openalex.org/keywords/shock-waves","display_name":"shock waves","score":0.9169999957084656},{"id":"https://openalex.org/keywords/atmospheric-sound-propagation","display_name":"atmospheric sound propagation","score":0.3330000042915344}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6784999966621399},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.6416000127792358},{"id":"https://openalex.org/C177731217","wikidata":"https://www.wikidata.org/wiki/Q2622244","display_name":"Mesoscopic physics","level":2,"score":0.6068999767303467},{"id":"https://openalex.org/C99742106","wikidata":"https://www.wikidata.org/wiki/Q255996","display_name":"Equipartition theorem","level":3,"score":0.5331000089645386},{"id":"https://openalex.org/C2777694918","wikidata":"https://www.wikidata.org/wiki/Q11171014","display_name":"Ratchet","level":3,"score":0.5228000283241272},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5210999846458435},{"id":"https://openalex.org/C207282930","wikidata":"https://www.wikidata.org/wiki/Q5380811","display_name":"Entropy production","level":2,"score":0.47269999980926514},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.4366999864578247},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4366999864578247},{"id":"https://openalex.org/C200351514","wikidata":"https://www.wikidata.org/wiki/Q124003","display_name":"Speed of sound","level":2,"score":0.4334000051021576},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.42730000615119934},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4154999852180481},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3882000148296356},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3865000009536743},{"id":"https://openalex.org/C119820323","wikidata":"https://www.wikidata.org/wiki/Q177045","display_name":"Second law of thermodynamics","level":2,"score":0.38100001215934753},{"id":"https://openalex.org/C535169671","wikidata":"https://www.wikidata.org/wiki/Q17080006","display_name":"Semiclassical physics","level":3,"score":0.38019999861717224},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.36309999227523804},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.359499990940094},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.35929998755455017},{"id":"https://openalex.org/C131157278","wikidata":"https://www.wikidata.org/wiki/Q51363","display_name":"Thermodynamic equilibrium","level":2,"score":0.35519999265670776},{"id":"https://openalex.org/C30342001","wikidata":"https://www.wikidata.org/wiki/Q172280","display_name":"Ideal gas","level":2,"score":0.34860000014305115},{"id":"https://openalex.org/C88030215","wikidata":"https://www.wikidata.org/wiki/Q907306","display_name":"WKB approximation","level":2,"score":0.33379998803138733},{"id":"https://openalex.org/C47458137","wikidata":"https://www.wikidata.org/wiki/Q911951","display_name":"Stationary state","level":2,"score":0.3208000063896179},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.31139999628067017},{"id":"https://openalex.org/C54021167","wikidata":"https://www.wikidata.org/wiki/Q1103484","display_name":"Thermodynamic limit","level":2,"score":0.30869999527931213},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.2996000051498413},{"id":"https://openalex.org/C186647298","wikidata":"https://www.wikidata.org/wiki/Q2074917","display_name":"Inelastic collision","level":3,"score":0.29580000042915344},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.2939999997615814},{"id":"https://openalex.org/C31686786","wikidata":"https://www.wikidata.org/wiki/Q233699","display_name":"Second sound","level":3,"score":0.29280000925064087},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.2888999879360199},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.28870001435279846},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.28850001096725464},{"id":"https://openalex.org/C12668873","wikidata":"https://www.wikidata.org/wiki/Q230875","display_name":"Thermodynamic state","level":3,"score":0.28630000352859497},{"id":"https://openalex.org/C204723758","wikidata":"https://www.wikidata.org/wiki/Q3882459","display_name":"Acoustic wave","level":2,"score":0.2797999978065491},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.27959999442100525},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.2786000072956085},{"id":"https://openalex.org/C72921944","wikidata":"https://www.wikidata.org/wiki/Q206621","display_name":"Drag","level":2,"score":0.26910001039505005},{"id":"https://openalex.org/C193451744","wikidata":"https://www.wikidata.org/wiki/Q264647","display_name":"Thermodynamic temperature","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.2676999866962433}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.5281/zenodo.24087483","doi":"https://doi.org/10.5281/zenodo.24087483","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24087483","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.24087484","doi":"https://doi.org/10.5281/zenodo.24087484","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24087484","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.24093213","doi":"https://doi.org/10.5281/zenodo.24093213","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24093213","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.24087483","doi":"https://doi.org/10.5281/zenodo.24087483","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24087483","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7225574479","https://openalex.org/W1525755587","https://openalex.org/W2325795008","https://openalex.org/W1988611965","https://openalex.org/W7065475777","https://openalex.org/W7140489112","https://openalex.org/W2081925199","https://openalex.org/W3009240559","https://openalex.org/W1971426110","https://openalex.org/W1970115282"],"abstract_inverted_index":{"Abstract":[0],"Background:":[1],"Classical":[2],"statistical":[3],"mechanics":[4],"and":[5,57,145,181,195,203,248],"traditional":[6],"Navier-Stokes":[7],"gas":[8],"dynamics":[9],"describe":[10],"acoustic":[11,92],"perturbation":[12],"transport":[13,257],"in":[14,53,221],"gaseous":[15],"media":[16],"through":[17],"isotropic":[18],"macroscopic":[19],"approximations":[20],"based":[21],"on":[22,117,143],"the":[23,54,66,95,118,127,136,157,177,187,199,206,219,249],"postulate":[24],"of":[25,34,40,69,79,97,102,112,120,122,129,133,154,160,162,179,205,251,288],"permanent":[26],"thermodynamic":[27,196],"chaos.":[28],"This":[29,62,148,283],"approach":[30],"assumes":[31],"instantaneous":[32],"equipartition":[33],"energy":[35],"across":[36],"all":[37],"internal":[38],"degrees":[39,153,161],"freedom,":[41,155],"which":[42],"inherently":[43],"creates":[44],"systematic":[45],"deviations":[46],"when":[47],"compared":[48],"to":[49,74,165],"empirical":[50,190],"field":[51],"measurements":[52],"real":[55],"atmosphere":[56],"dense":[58],"boundary":[59,149,252],"layers.":[60],"Methods:":[61],"paper":[63],"operates":[64],"within":[65],"deterministic":[67,173],"paradigm":[68],"Ibragimov-Gert":[70],"extended":[71],"anisotropic":[72,223,265],"thermodynamics":[73],"present":[75],"a":[76,130,140,171,239],"mesoscopic":[77],"model":[78,215,270],"pre-relaxation":[80,226],"wave":[81,137,256,261],"transport.":[82],"The":[83,213,233,268],"proposed":[84],"physical":[85],"framework":[86,242],"rejects":[87],"Maxwell-Boltzmann":[88],"velocity":[89],"distributions,":[90],"interpreting":[91],"perturbations":[93],"as":[94],"result":[96],"localized":[98],"potential":[99],"Coulomb":[100],"interactions":[101],"particle":[103],"electron":[104],"shells":[105],"forming":[106],"dynamic,":[107],"elastic":[108],"mesostructures":[109],"termed":[110],"chains":[111],"molecules.":[113],"Results:":[114],"Based":[115],"strictly":[116,164],"law":[119],"conservation":[121],"momentum,":[123],"we":[124],"demonstrate":[125],"that":[126,217],"translation":[128,287],"directed":[131],"amount":[132],"motion":[134],"along":[135],"vector":[138],"enforces":[139],"kinematic":[141],"prohibition":[142],"transverse":[144],"rotational":[146],"dissipation.":[147],"condition":[150],"suppresses":[151],"parasitic":[152],"driving":[156],"effective":[158],"number":[159],"freedom":[163],"unity.":[166],"From":[167],"this":[168],"microstructural":[169],"mechanics,":[170],"strict":[172],"invariant":[174],"relationship":[175],"between":[176],"speed":[178],"sound":[180],"packaging":[182],"density":[183,266],"is":[184,271,284],"derived,":[185],"eliminating":[186],"need":[188],"for":[189,243],"approximations.":[191],"Furthermore,":[192],"exact":[193],"kinetic":[194],"thresholds":[197],"governing":[198],"sudden":[200],"phase":[201],"breakdown":[202],"destruction":[204],"linear":[207],"mesostructure":[208],"are":[209],"mathematically":[210],"established.":[211],"Conclusions:":[212],"resulting":[214],"proves":[216],"keeping":[218],"medium":[220],"an":[222,264,278,285,289],"state":[224],"during":[225],"collision":[227],"stages":[228],"eliminates":[229],"classical":[230],"entropy":[231],"losses.":[232],"derived":[234],"critical":[235],"degradation":[236],"temperature":[237],"provides":[238],"rigorous":[240],"engineering":[241],"calculating":[244],"flow":[245],"stall":[246],"triggers":[247],"transition":[250],"layers":[253],"from":[254],"harmonic":[255],"into":[258],"unsteady":[259],"shock":[260],"modes":[262],"with":[263],"jump.":[267],"theoretical":[269],"validated":[272],"against":[273],"real-world":[274],"atmospheric":[275],"profiles,":[276],"demonstrating":[277],"accuracy":[279],"exceeding":[280],"99":[281],"percent.":[282],"English":[286],"article":[290],"published":[291],"earlier":[292]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-10T00:00:00"}
