{"id":"https://openalex.org/W2054512911","doi":"https://doi.org/10.1063/1.2169472","title":"Midpoint numerical technique for stochastic Landau-Lifshitz-Gilbert dynamics","display_name":"Midpoint numerical technique for stochastic Landau-Lifshitz-Gilbert dynamics","publication_year":2006,"publication_date":"2006-04-15","ids":{"openalex":"https://openalex.org/W2054512911","doi":"https://doi.org/10.1063/1.2169472","mag":"2054512911"},"language":"en","primary_location":{"id":"doi:10.1063/1.2169472","doi":"https://doi.org/10.1063/1.2169472","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.2169472","pdf_url":null,"source":{"id":"https://openalex.org/S187991544","display_name":"Journal of Applied Physics","issn_l":"0021-8979","issn":["0021-8979","1089-7550","1520-8850"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Physics","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/A5076292277","display_name":"Massimiliano d\u2019Aquino","orcid":"https://orcid.org/0000-0002-5321-5772","observed_orcids":["https://orcid.org/0000-0002-5321-5772"]},"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":"M. d\u2019Aquino","raw_affiliation_strings":["University of Napoli Department of Electrical Engineering, \u201cFederico II,\u201d Napoli I-80125, Italy","Department of Electrical Engineering, University of Napoli \"Federico II,\" Napoli I-80125, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Napoli Department of Electrical Engineering, \u201cFederico II,\u201d Napoli I-80125, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Department of Electrical Engineering, University of Napoli \"Federico II,\" Napoli I-80125, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103243609","display_name":"C. Serpico","orcid":"https://orcid.org/0000-0002-5224-1872","observed_orcids":["https://orcid.org/0000-0002-5224-1872"]},"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":"C. Serpico","raw_affiliation_strings":["University of Napoli Department of Electrical Engineering, \u201cFederico II,\u201d Napoli I-80125, Italy","Department of Electrical Engineering, University of Napoli \"Federico II,\" Napoli I-80125, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Napoli Department of Electrical Engineering, \u201cFederico II,\u201d Napoli I-80125, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Department of Electrical Engineering, University of Napoli \"Federico II,\" Napoli I-80125, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043270762","display_name":"Gennaro Coppola","orcid":"https://orcid.org/0000-0003-4943-9551","observed_orcids":["https://orcid.org/0000-0003-4943-9551"]},"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":"G. Coppola","raw_affiliation_strings":["University of Napoli DETEC, \u201cFederico II,\u201d Napoli I-80125, Italy","DETEC, University of Napoli \"Federico II,\" Napoli I-80125, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Napoli DETEC, \u201cFederico II,\u201d Napoli I-80125, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"DETEC, University of Napoli \"Federico II,\" Napoli I-80125, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031176797","display_name":"I.D. Mayergoyz","orcid":"https://orcid.org/0000-0003-1481-3179","observed_orcids":["https://orcid.org/0000-0003-1481-3179"]},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"I. D. Mayergoyz","raw_affiliation_strings":["University of Maryland ECE Department, , College Park, Maryland 20742 and UMIACS, , College Park, Maryland 20742","ECE Department, University of Maryland, College Park, Maryland 20742 and UMIACS, University of Maryland, College Park, Maryland 20742"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland ECE Department, , College Park, Maryland 20742 and UMIACS, , College Park, Maryland 20742","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"ECE Department, University of Maryland, College Park, Maryland 20742 and UMIACS, University of Maryland, College Park, Maryland 20742","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034858570","display_name":"G. Bertotti","orcid":"https://orcid.org/0009-0001-0524-6697","observed_orcids":["https://orcid.org/0009-0001-0524-6697"]},"institutions":[{"id":"https://openalex.org/I4210136559","display_name":"Istituto Nazionale di Ricerca Metrologica","ror":"https://ror.org/03vn1bh77","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210104593","https://openalex.org/I4210136559","https://openalex.org/I4392021227"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Bertotti","raw_affiliation_strings":["Istituto Elettrotecnico Nazionale (IEN) Galileo Ferraris (INRIM) , I-10135 Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto Elettrotecnico Nazionale (IEN) Galileo Ferraris (INRIM) , I-10135 Torino, Italy","institution_ids":["https://openalex.org/I4210136559"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":2.6818,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.88974991,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":99},"biblio":{"volume":"99","issue":"8","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10049","display_name":"Magnetic properties of thin films","score":0.004000000189989805,"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/T11786","display_name":"Geomagnetism and Paleomagnetism Studies","score":0.0012000000569969416,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/landau-lifshitz-gilbert-equation","display_name":"Landau-Lifshitz-Gilbert equation","score":0.9490000009536743},{"id":"https://openalex.org/keywords/stochastic-differential-equations","display_name":"stochastic differential equations","score":0.8820000290870667},{"id":"https://openalex.org/keywords/stratonovich-interpretation","display_name":"Stratonovich interpretation","score":0.8159999847412109},{"id":"https://openalex.org/keywords/magnetization-dynamics","display_name":"magnetization dynamics","score":0.753000020980835},{"id":"https://openalex.org/keywords/energy-conservation-physics","display_name":"energy conservation (physics)","score":0.722000002861023},{"id":"https://openalex.org/keywords/superparamagnetism","display_name":"superparamagnetism","score":0.9520000219345093}],"concepts":[{"id":"https://openalex.org/C196076714","wikidata":"https://www.wikidata.org/wiki/Q1071534","display_name":"Landau\u2013Lifshitz\u2013Gilbert equation","level":4,"score":0.6704822778701782},{"id":"https://openalex.org/C34130140","wikidata":"https://www.wikidata.org/wiki/Q1645406","display_name":"Midpoint","level":2,"score":0.667831540107727},{"id":"https://openalex.org/C119835096","wikidata":"https://www.wikidata.org/wiki/Q6839648","display_name":"Micromagnetics","level":4,"score":0.5867576003074646},{"id":"https://openalex.org/C85807060","wikidata":"https://www.wikidata.org/wiki/Q17103851","display_name":"Midpoint method","level":2,"score":0.5456339716911316},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5337117314338684},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5151218771934509},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.47560247778892517},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.44873860478401184},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.44583559036254883},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43453603982925415},{"id":"https://openalex.org/C32546565","wikidata":"https://www.wikidata.org/wiki/Q856711","display_name":"Magnetization","level":3,"score":0.42716872692108154},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40885359048843384},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.40208324790000916},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3935070037841797},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18823042511940002},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.16871806979179382},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15931329131126404},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.10080215334892273}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1063/1.2169472","doi":"https://doi.org/10.1063/1.2169472","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.2169472","pdf_url":null,"source":{"id":"https://openalex.org/S187991544","display_name":"Journal of Applied Physics","issn_l":"0021-8979","issn":["0021-8979","1089-7550","1520-8850"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Physics","raw_type":"journal-article"},{"id":"pmh:oai:ricerca.uniparthenope.it:11367/66131","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/11367/687","pdf_url":null,"source":{"id":"https://openalex.org/S4377196432","display_name":"CINECA IRIS Institutial research information system (Parthenope University of Naples)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I183638586","host_organization_name":"Parthenope University of Naples","host_organization_lineage":["https://openalex.org/I183638586"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/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":11,"referenced_works":["https://openalex.org/W1484033701","https://openalex.org/W1967592480","https://openalex.org/W1983457870","https://openalex.org/W2022810388","https://openalex.org/W2032090338","https://openalex.org/W2061941639","https://openalex.org/W2075752478","https://openalex.org/W2096228717","https://openalex.org/W2151810376","https://openalex.org/W2152135475","https://openalex.org/W2169039095"],"related_works":["https://openalex.org/W2004468228","https://openalex.org/W2075752478","https://openalex.org/W2095449795","https://openalex.org/W2553231643","https://openalex.org/W2592539763","https://openalex.org/W2022183310","https://openalex.org/W2497421324","https://openalex.org/W4392094234","https://openalex.org/W2953186436","https://openalex.org/W2095356479"],"abstract_inverted_index":{"The":[0,13,48],"implicit":[1],"midpoint":[2],"time-integration":[3],"technique":[4,50],"is":[5,51],"applied":[6,53],"to":[7,17,54],"the":[8,18,22,30,34,40,45,55,66,72],"stochastic":[9],"Landau-Lifshitz-Gilbert":[10],"(LLG)":[11],"equation.":[12],"numerical":[14,49,67],"scheme":[15],"converges":[16],"Stratonovich":[19],"solution":[20],"in":[21,60],"limit":[23],"of":[24,39,44,57],"vanishing":[25],"time":[26,46],"step.":[27,47],"It":[28],"preserves":[29],"magnetization":[31],"magnitude":[32],"and":[33,65],"main":[35],"energy":[36],"balance":[37],"properties":[38],"LLG":[41],"equation":[42],"independently":[43],"then":[52],"study":[56],"superparamagnetic":[58],"state":[59],"a":[61],"small":[62],"spheroidal":[63],"particle,":[64],"results":[68],"are":[69],"compared":[70],"with":[71],"theory.":[73]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}
