{"id":"https://openalex.org/W4404702154","doi":"https://doi.org/10.3390/e26121011","title":"Exploring the Thermodynamic Uncertainty Constant: Insights from a Quasi-Ideal Nano-Gas Model","display_name":"Exploring the Thermodynamic Uncertainty Constant: Insights from a Quasi-Ideal Nano-Gas Model","publication_year":2024,"publication_date":"2024-11-23","ids":{"openalex":"https://openalex.org/W4404702154","doi":"https://doi.org/10.3390/e26121011","pmid":"https://pubmed.ncbi.nlm.nih.gov/39766640"},"language":"en","primary_location":{"id":"doi:10.3390/e26121011","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26121011","pdf_url":"https://www.mdpi.com/1099-4300/26/12/1011/pdf?version=1732349902","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/26/12/1011/pdf?version=1732349902","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052184969","display_name":"Giorgio Sonnino","orcid":"https://orcid.org/0000-0002-9879-3365"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Giorgio Sonnino","raw_affiliation_strings":["Department of Physics, Universit\u00e9 Libre de Bruxelles (U.L.B.), Campus de la Plaine C.P. 224, Bvd du Triomphe, 1050 Brussels, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-9879-3365","affiliations":[{"raw_affiliation_string":"Department of Physics, Universit\u00e9 Libre de Bruxelles (U.L.B.), Campus de la Plaine C.P. 224, Bvd du Triomphe, 1050 Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052184969"],"corresponding_institution_ids":["https://openalex.org/I132053463"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.7484,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.70902103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"26","issue":"12","first_page":"1011","last_page":"1011"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9998999834060669,"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":0.9998999834060669,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6879005432128906},{"id":"https://openalex.org/keywords/mesoscopic-physics","display_name":"Mesoscopic physics","score":0.6405717134475708},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.6155677437782288},{"id":"https://openalex.org/keywords/dimensionless-quantity","display_name":"Dimensionless quantity","score":0.5574268102645874},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.527066707611084},{"id":"https://openalex.org/keywords/thermodynamic-process","display_name":"Thermodynamic process","score":0.47517460584640503},{"id":"https://openalex.org/keywords/ideal-gas","display_name":"Ideal gas","score":0.47408807277679443},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4510200023651123},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.4501788020133972},{"id":"https://openalex.org/keywords/thermodynamic-limit","display_name":"Thermodynamic limit","score":0.4285757541656494},{"id":"https://openalex.org/keywords/thermodynamic-system","display_name":"Thermodynamic system","score":0.4160487651824951},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3947433531284332},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3700461983680725},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2865949273109436},{"id":"https://openalex.org/keywords/material-properties","display_name":"Material properties","score":0.1710394024848938},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15401268005371094}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6879005432128906},{"id":"https://openalex.org/C177731217","wikidata":"https://www.wikidata.org/wiki/Q2622244","display_name":"Mesoscopic physics","level":2,"score":0.6405717134475708},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.6155677437782288},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.5574268102645874},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.527066707611084},{"id":"https://openalex.org/C105236789","wikidata":"https://www.wikidata.org/wiki/Q213016","display_name":"Thermodynamic process","level":3,"score":0.47517460584640503},{"id":"https://openalex.org/C30342001","wikidata":"https://www.wikidata.org/wiki/Q172280","display_name":"Ideal gas","level":2,"score":0.47408807277679443},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4510200023651123},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.4501788020133972},{"id":"https://openalex.org/C54021167","wikidata":"https://www.wikidata.org/wiki/Q1103484","display_name":"Thermodynamic limit","level":2,"score":0.4285757541656494},{"id":"https://openalex.org/C14380042","wikidata":"https://www.wikidata.org/wiki/Q503327","display_name":"Thermodynamic system","level":2,"score":0.4160487651824951},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3947433531284332},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3700461983680725},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2865949273109436},{"id":"https://openalex.org/C31555180","wikidata":"https://www.wikidata.org/wiki/Q3523867","display_name":"Material properties","level":2,"score":0.1710394024848938},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15401268005371094}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e26121011","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26121011","pdf_url":"https://www.mdpi.com/1099-4300/26/12/1011/pdf?version=1732349902","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:39766640","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39766640","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:11675726","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11675726","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11675726/pdf/entropy-26-01011.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:3df4065d82534210865b5c684e0d4b2b","is_oa":true,"landing_page_url":"https://doaj.org/article/3df4065d82534210865b5c684e0d4b2b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Entropy, Vol 26, Iss 12, p 1011 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e26121011","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26121011","pdf_url":"https://www.mdpi.com/1099-4300/26/12/1011/pdf?version=1732349902","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320314997","display_name":"Strong","ror":"https://ror.org/041vyzr56"},{"id":"https://openalex.org/F4320322794","display_name":"Universit\u00e0 degli Studi di Genova","ror":"https://ror.org/0107c5v14"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4404702154.pdf"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W191015715","https://openalex.org/W1500256440","https://openalex.org/W1563749973","https://openalex.org/W1972445232","https://openalex.org/W1991941684","https://openalex.org/W2002116790","https://openalex.org/W2002533447","https://openalex.org/W2020214427","https://openalex.org/W2030765885","https://openalex.org/W2032537038","https://openalex.org/W2041784553","https://openalex.org/W2078695144","https://openalex.org/W2125284466","https://openalex.org/W2137464302","https://openalex.org/W2146564548","https://openalex.org/W2159974629","https://openalex.org/W2163221508","https://openalex.org/W2217628436","https://openalex.org/W2622715809","https://openalex.org/W2763785647","https://openalex.org/W2891288733","https://openalex.org/W2979968667","https://openalex.org/W3005429003","https://openalex.org/W3006226491","https://openalex.org/W3033944651","https://openalex.org/W3095317518","https://openalex.org/W3099397646","https://openalex.org/W3104690574","https://openalex.org/W3173579267","https://openalex.org/W3210302911","https://openalex.org/W4224130458","https://openalex.org/W4225688153","https://openalex.org/W4244360209","https://openalex.org/W4244867238","https://openalex.org/W4252608551","https://openalex.org/W4307309270","https://openalex.org/W4312798755","https://openalex.org/W4388395101","https://openalex.org/W4400858693","https://openalex.org/W4404702154","https://openalex.org/W6738839995"],"related_works":["https://openalex.org/W2592995603","https://openalex.org/W2476143830","https://openalex.org/W2738682869","https://openalex.org/W1985287597","https://openalex.org/W1512350201","https://openalex.org/W2024399898","https://openalex.org/W2375092078","https://openalex.org/W2919057488","https://openalex.org/W2506606282","https://openalex.org/W2013424177"],"abstract_inverted_index":{"In":[0,101],"previous":[1],"work,":[2],"we":[3],"investigated":[4],"thermodynamic":[5,15,73,115],"processes":[6],"in":[7,31,39,44,64,124,173,217],"systems":[8,33,66],"at":[9,75,195],"the":[10,49,56,61,68,82,108,120,125,151,158,162,176,186,196,201,208],"mesoscopic":[11],"level":[12],"where":[13],"traditional":[14],"descriptions":[16],"(macroscopic":[17],"or":[18],"microscopic)":[19],"may":[20],"not":[21,35,142],"be":[22,90],"fully":[23],"adequate.":[24],"The":[25,167],"key":[26,114],"result":[27],"is":[28,141,171],"that":[29,139,184],"entropy":[30],"such":[32],"does":[34],"change":[36],"continuously,":[37],"as":[38,150],"macroscopic":[40],"systems,":[41],"but":[42],"rather":[43],"discrete":[45,58],"steps":[46],"characterized":[47],"by":[48,72],"quantization":[50,54,121],"constant":[51],"\u03b2.":[52],"This":[53,117,204],"reflects":[55,185],"underlying":[57],"nature":[59],"of":[60,96,110,164,175,189,211],"collision":[62],"process":[63],"low-dimensional":[65],"and":[67,191,200],"essential":[69],"role":[70],"played":[71],"fluctuations":[74],"this":[76,102],"scale.":[77],"Thermodynamic":[78],"variables":[79],"conjugate":[80],"to":[81,106],"forces,":[83],"along":[84],"with":[85,113],"Glansdorff-Prigogine's":[86],"dissipative":[87],"variable":[88],"can":[89],"discretized,":[91],"enabling":[92],"a":[93,128,181,218],"mesoscopic-scale":[94],"formulation":[95],"canonical":[97],"commutation":[98],"rules":[99],"(CCRs).":[100],"framework,":[103],"measurements":[104],"correspond":[105],"determining":[107],"eigenvalues":[109],"operators":[111],"associated":[112],"quantities.":[116],"work":[118],"investigates":[119],"parameter":[122,206],"\u03b2":[123,140,170],"CCRs":[126],"using":[127],"nano-gas":[129],"model":[130],"analyzed":[131],"through":[132],"classical":[133,215],"statistical":[134],"physics.":[135],"Our":[136],"findings":[137],"suggest":[138],"an":[143],"unknown":[144],"fundamental":[145],"constant.":[146],"Instead,":[147],"it":[148],"emerges":[149],"minimum":[152],"achievable":[153],"value":[154],"derived":[155],"from":[156],"optimizing":[157],"uncertainty":[159],"relation":[160],"within":[161],"framework":[163],"our":[165],"model.":[166],"expression":[168],"for":[169],"determined":[172],"terms":[174],"ratio":[177],"\u03c7,":[178],"which":[179],"provides":[180],"dimensionless":[182],"number":[183],"relative":[187,209],"scales":[188],"volume":[190],"mass":[192],"between":[193],"entities":[194],"Bohr":[197],"(atomic":[198],"level)":[199],"molecular":[202],"scales.":[203],"latter":[205],"quantifies":[207],"influence":[210],"quantum":[212],"effects":[213],"versus":[214],"dynamics":[216],"given":[219],"scattering":[220],"process.":[221]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}