{"id":"https://openalex.org/W2113435536","doi":"https://doi.org/10.1142/s0217979209063675","title":"STATISTICAL MECHANICS OF STATIC GRANULAR PACKINGS UNDER GRAVITY","display_name":"STATISTICAL MECHANICS OF STATIC GRANULAR PACKINGS UNDER GRAVITY","publication_year":2009,"publication_date":"2009-11-20","ids":{"openalex":"https://openalex.org/W2113435536","doi":"https://doi.org/10.1142/s0217979209063675","mag":"2113435536"},"language":"en","primary_location":{"id":"doi:10.1142/s0217979209063675","doi":"https://doi.org/10.1142/s0217979209063675","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217979209063675","pdf_url":null,"source":{"id":"https://openalex.org/S130197424","display_name":"International Journal of Modern Physics B","issn_l":"0217-9792","issn":["0217-9792","1793-6578"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modern Physics B","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063145038","display_name":"Massimo Pica Ciamarra","orcid":"https://orcid.org/0000-0001-8931-9058","observed_orcids":["https://orcid.org/0000-0001-8931-9058"]},"institutions":[{"id":"https://openalex.org/I197809005","display_name":"University of Campania \"Luigi Vanvitelli\"","ror":"https://ror.org/02kqnpp86","country_code":"IT","type":"education","lineage":["https://openalex.org/I197809005"]},{"id":"https://openalex.org/I4210115176","display_name":"National Interuniversity Consortium for the Physical Sciences of Matter","ror":"https://ror.org/026vvkz19","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210115176"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"MASSIMO PICA CIAMARRA","raw_affiliation_strings":["CNISM, Second University of Naples, 81031 Aversa (CE), Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNISM, Second University of Naples, 81031 Aversa (CE), Italy","institution_ids":["https://openalex.org/I197809005","https://openalex.org/I4210115176"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043348418","display_name":"ANTONIO DE CANDIA","orcid":"https://orcid.org/0000-0002-9869-1297","observed_orcids":["https://orcid.org/0000-0002-9869-1297"]},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"ANTONIO DE CANDIA","raw_affiliation_strings":["Dip. di Scienze Fisiche and Coherentia, Universit\u00e1 di Napoli Federico II, via Cintia, 80129, Napoli, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dip. di Scienze Fisiche and Coherentia, Universit\u00e1 di Napoli Federico II, via Cintia, 80129, Napoli, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001704817","display_name":"Annalisa Fierro","orcid":"https://orcid.org/0000-0001-8431-942X","observed_orcids":["https://orcid.org/0000-0001-8431-942X"]},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"ANNALISA FIERRO","raw_affiliation_strings":["Dip. di Scienze Fisiche and Coherentia, Universit\u00e1 di Napoli Federico II, via Cintia, 80129, Napoli, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dip. di Scienze Fisiche and Coherentia, Universit\u00e1 di Napoli Federico II, via Cintia, 80129, Napoli, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044366692","display_name":"Mario Nicodemi","orcid":"https://orcid.org/0000-0002-8416-6416","observed_orcids":["https://orcid.org/0000-0002-8416-6416"]},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"MARIO NICODEMI","raw_affiliation_strings":["Complexity Science Centre, Dept. of Physics, Univ. of Warwick, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Complexity Science Centre, Dept. of Physics, Univ. of Warwick, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043232834","display_name":"Antonio Coniglio A","orcid":"https://orcid.org/0009-0001-9217-0159","observed_orcids":["https://orcid.org/0009-0001-9217-0159","https://orcid.org/0000-0001-6474-4832"]},"institutions":[{"id":"https://openalex.org/I4210108560","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Napoli","ror":"https://ror.org/015kcdd40","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210108560"]},{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"ANTONIO CONIGLIO","raw_affiliation_strings":["Dip. di Scienze Fisiche and Coherentia, Universit\u00e1 di Napoli Federico II, via Cintia, 80129, Napoli, Italy","INFN Sezione di Napoli, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dip. di Scienze Fisiche and Coherentia, Universit\u00e1 di Napoli Federico II, via Cintia, 80129, Napoli, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"INFN Sezione di Napoli, Italy","institution_ids":["https://openalex.org/I4210108560"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3459,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61804453,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"28n29","first_page":"5345","last_page":"5358"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10615","display_name":"Granular flow and fluidized beds","score":0.9937000274658203,"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"}},"topics":[{"id":"https://openalex.org/T10615","display_name":"Granular flow and fluidized beds","score":0.9937000274658203,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.0017000000225380063,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T10233","display_name":"Geotechnical Engineering and Soil Mechanics","score":0.0007999999797903001,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/granular-materials","display_name":"granular materials","score":0.9829999804496765},{"id":"https://openalex.org/keywords/granular-packing","display_name":"granular packing","score":0.7680000066757202},{"id":"https://openalex.org/keywords/statistical-mechanics","display_name":"statistical mechanics","score":0.6039999723434448},{"id":"https://openalex.org/keywords/gravity","display_name":"gravity","score":0.734000027179718},{"id":"https://openalex.org/keywords/edwards-model","display_name":"Edwards model","score":0.6669999957084656},{"id":"https://openalex.org/keywords/granular-physics","display_name":"granular mechanics","score":0.5490000247955322}],"concepts":[{"id":"https://openalex.org/C32568104","wikidata":"https://www.wikidata.org/wiki/Q1155083","display_name":"Granular material","level":2,"score":0.7683258652687073},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.7059743404388428},{"id":"https://openalex.org/C2992895300","wikidata":"https://www.wikidata.org/wiki/Q1155083","display_name":"Granular matter","level":3,"score":0.5292346477508545},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.49975061416625977},{"id":"https://openalex.org/C77265313","wikidata":"https://www.wikidata.org/wiki/Q879844","display_name":"Rest (music)","level":2,"score":0.46305346488952637},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.45608776807785034},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.4381552040576935},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43591418862342834},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.41935116052627563},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3923131823539734},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.36118364334106445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1983415186405182},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0786605179309845},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07287690043449402},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07146251201629639},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0217979209063675","doi":"https://doi.org/10.1142/s0217979209063675","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217979209063675","pdf_url":null,"source":{"id":"https://openalex.org/S130197424","display_name":"International Journal of Modern Physics B","issn_l":"0217-9792","issn":["0217-9792","1793-6578"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modern Physics B","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1514603162","https://openalex.org/W1573294821","https://openalex.org/W1979185874","https://openalex.org/W1991999185","https://openalex.org/W1992506826","https://openalex.org/W1992768975","https://openalex.org/W1999712113","https://openalex.org/W2000195809","https://openalex.org/W2012629131","https://openalex.org/W2015903869","https://openalex.org/W2021544026","https://openalex.org/W2022861351","https://openalex.org/W2025157639","https://openalex.org/W2025422771","https://openalex.org/W2026400332","https://openalex.org/W2029443466","https://openalex.org/W2042056890","https://openalex.org/W2044028064","https://openalex.org/W2051197082","https://openalex.org/W2051805880","https://openalex.org/W2053909078","https://openalex.org/W2061840317","https://openalex.org/W2062400012","https://openalex.org/W2069457875","https://openalex.org/W2070953549","https://openalex.org/W2075386084","https://openalex.org/W2086956048","https://openalex.org/W2096848392","https://openalex.org/W2105479026","https://openalex.org/W2112824102","https://openalex.org/W2124497639","https://openalex.org/W2135488331","https://openalex.org/W2141944698","https://openalex.org/W2145479290","https://openalex.org/W4252209649","https://openalex.org/W4255933248"],"related_works":["https://openalex.org/W2086413789","https://openalex.org/W33588989","https://openalex.org/W2026323787","https://openalex.org/W3174075547","https://openalex.org/W2478242559","https://openalex.org/W1999635329","https://openalex.org/W4388251888","https://openalex.org/W2757593469","https://openalex.org/W2595405715","https://openalex.org/W7056294804"],"abstract_inverted_index":{"Despite":[0],"the":[1,8,11,45,66],"large":[2,12],"use":[3],"of":[4,14,26,47,52,72,77,94],"granular":[5,18,53,78],"materials":[6,19,54,79],"in":[7,57],"industry,":[9],"and":[10,69,83,90],"number":[13],"natural":[15],"phenomena":[16],"where":[17],"are":[20,96],"involved,":[21],"a":[22,48,73],"comprehensive":[23],"theoretical":[24,67],"framework":[25],"their":[27,58],"physics":[28],"is":[29],"still":[30],"missing.":[31],"An":[32],"important":[33],"perspective":[34],"was":[35],"proposed":[36],"almost":[37],"20":[38],"years":[39],"ago":[40],"by":[41],"S.Edwards,":[42],"which":[43],"suggested":[44],"possibility":[46],"statistical":[49,74],"mechanics":[50,75],"description":[51],"at":[55],"rest":[56],"mechanically":[59],"stable":[60],"states.":[61],"This":[62],"article":[63],"focuses":[64],"on":[65],"foundations":[68],"current":[70],"understanding":[71],"approach":[76,89],"under":[80],"gravity.":[81],"Experimental":[82],"numerical":[84],"results":[85],"discussing":[86],"such":[87],"an":[88],"clarifying":[91],"its":[92],"limit":[93],"validity":[95],"described":[97],"as":[98],"well.":[99]},"counts_by_year":[],"updated_date":"2026-10-07T09:51:55.459714","created_date":"2016-06-24T00:00:00"}